) Suppose we do 100 tests at the 0.05 significance level. Can we expect 5 of these to be statistically significant, even though there is actually no effect in any of the tests?
b) Can we predict a child's cognitive ability based on the age at which the child begins to speak? Suppose the variable include for the age (months) at which children begin to talk along with results from a later cognitive test during growing up.
Suppose the child who took 42 months to start talking was excluded from the analysis. How would that affect the correlation coefficient? Would we get a value closest to -1, 0 or +1?
Where Y = COGNITIVE ABILITY and X = AGE AT FIRST SPEAK
Note: No explanation needed its general question

Answer:

swim bike and run.

Step-by-step explanation:

Answer:

One side length is 17. Because you square root 289 to figure out the side length.

Step-by-step explanation:

The area of a square is a side length * a side length

or l^2 = 289

sqrt or 289 = 17

Answer:

Step-by-step explanation:

B

Answer:

750 Ml

Step-by-step explanation:

5.25L ÷ 42 = 0.125L

1 Liter = 1000 Mililiter

0.125 × 1000 = 125

125Ml × 6 = 750Ml

Average number of planes that will stack up waiting to land:  This can vary greatly depending on the size of the airport, the number of flights per day, and the number of runways available.

What is average?

Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures.

To determine the average number of planes that will stack up waiting to land, we need to know the rate at which planes arrive at the airport and the rate at which they are able to land.

Generally, an airport can expect to experience a queue of up to 10 planes waiting to land at peak times.

Average time a plane must wait in line before it can land: This also varies significantly depending on the airport and the conditions. Generally, a plane must wait an average of 5-7 minutes before it is able to land.

Average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants to land: This time will depend on the size of the airport, the number of planes in the queue, and the amount of time it takes for the plane to taxi off the runway. Generally, a plane can expect to clear the runway in about 2-3 minutes.

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Answer:

75 km

Step-by-step explanation:

Answer:

no its not right bc authur has to have 12 mor and ha has 16 more not 12

Step-by-step explanation:

Answer:

this is false

Step-by-step explanation:

if arthur has 12 more marbles then michael that means that arthur has 28 marbles, NOT 32

Srry i couldnt find the correct answer but i hope this helped! And pls mark brainliest.

The interest rate that would reach this goal of having $1,900 with the investment of $1,200 compounded quarterly for one year is a) 48.7%.

The interest rate is the rate at which the present value of $1,200 needs to be compounded quarterly to yield a $1,900 future value in one year.

The interest rate can be computed using an online finance calculator as follows:

N (# of periods) = 4 quarters

FV = $1,900.05

PV (Present Value) = $1,200

PMT (Periodic Payment) = $0

Results:

I/Y (Interest per year) = 48.7%

Total Interest = $700.05

Thus, the interest rate that would the investor to achieve their goal is a) 48.7%.

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Answer:

A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.

Answer:

Decimals are used to express the whole number and fraction together.

Step-by-step explanation:

Answer:

20/3

Step-by-step explanation:

By the property of equal intercepts made by transversals on parallel lines.

\( \frac{4x - 3}{x + 17} = \frac{1}{1} \\ \\ 4x - 3 = x + 17 \\ \\ 4x - x = 17 + 3 \\ \\ 3x = 20 \\ \\ x = \frac{20}{3} \\ \\ \)

Answer:

85

Step-by-step explanation:

5×9=45

8×5=40

add it

85

Answer:

0.00475

Step-by-step explanation:

The appropriate conclusion using a level of significance of α=0.05 is:

P-Value = 0.202; There is insufficient evidence, at the α=0.05 level of significance, to conclude that the proportion of Cypress High School graduates that will attend college is less than 0.672. Since the p-value (0.202) is greater than the level of significance (0.05), we fail to reject the null hypothesis that the proportion of high school graduates at Cypress High School who attend college immediately after graduation is the same as the national average of 67.2%.

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Answer: x = -6

Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.

y = x - 6

y = 2x

2x = x - 6 (substitute the y value into the equation)

1x = -6 (subtract x on each side)

x = -6 (1x is basically saying x so you do not need to divide)

We need to be cautious in interpreting this result since it is based on a sample and not the entire population.

If the confidence interval includes the reported rate of 31%, then the result is consistent with the reported rate. This means that we can be reasonably confident that the true proportion of defective candies in the population is around 31%, based on the sample data.

On the other hand, if the confidence interval does not include the reported rate of 31%, then the result is not consistent with the reported rate. This means that we cannot be confident that the true proportion of defective candies in the population is actually 31%, based on the sample data.

In the given question, the confidence interval for the proportion of defective candies does not include 31%, so the result is not consistent with the reported rate. This suggests that the true proportion of defective candies in the population may be different from 31%, based on the sample data. However, we need to be cautious in interpreting this result since it is based on a sample and not the entire population.

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The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

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We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Answer: -3/4x -19

Use formula y2 - y1

                      x2 - x1

Answer:

y=-3/4x-19

Step-by-step explanation:

The change in temperature from morning to night is ₋18°F which means the temperature decreased from morning to night.

Given the temperature in the morning is ₋10°F

and temperature in the night is 8°F

To calculate the difference, subtraction is used between the starting and final temperatures. In other words, if something starts at 50 degrees Celsius and ends up at 75 degrees C, the temperature difference is 25 degrees C, or 75 degrees C minus 50 degrees C. The outcome is adverse for drops in temperature.

change in temperature from morning to night  = ₋10°F ₋ 8°F

= ₋18°F

the result is negative, hence the temperature decreases from morning to night.

Hence we get the temperature change as ₋18°F.

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(a) Matrix ⎣⎡​4197​011​1−30​⎦⎤​: Nonsingular (since the determinant is -121 ≠ 0).

(b) Matrix ⎣⎡​4−57​−260​103​⎦⎤​: Nonsingular (since the determinant is 402 ≠ 0).

(c) Matrix ⎣⎡​7113​−11−3​04−4​⎦⎤​: Nonsingular (since the determinant is 80 ≠ 0).

(d) Matrix ⎣⎡​−4310​908​516​⎦⎤​: Nonsingular (since the determinant is -2040 ≠ 0).

To determine whether a matrix is nonsingular, we need to check if its determinant is nonzero. If the determinant is nonzero, the matrix is nonsingular; otherwise, it is singular.

Let's calculate the determinants for each matrix:

(a) Matrix ⎣⎡​4197​011​1−30​⎦⎤​:

Determinant = (4 * (-30)) - (1 * 1) = -120 - 1 = -121

(b) Matrix ⎣⎡​4−57​−260​103​⎦⎤​:

Determinant = (4 * 103) - ((-5) * (-2)) = 412 - 10 = 402

(c) Matrix ⎣⎡​7113​−11−3​04−4​⎦⎤​:

Determinant = (7 * (-4) * (-3)) - (1 * 1 * 4) = 84 - 4 = 80

(d) Matrix ⎣⎡​−4310​908​516​⎦⎤​:

Determinant = (-4 * 516) - ((-3) * 8) = -2064 + 24 = -2040

Based on the determinant calculations, we can determine the nonsingularity of each matrix:

(a) Matrix ⎣⎡​4197​011​1−30​⎦⎤​: Nonsingular (since the determinant is -121 ≠ 0).

(b) Matrix ⎣⎡​4−57​−260​103​⎦⎤​: Nonsingular (since the determinant is 402 ≠ 0).

(c) Matrix ⎣⎡​7113​−11−3​04−4​⎦⎤​: Nonsingular (since the determinant is 80 ≠ 0).

(d) Matrix ⎣⎡​−4310​908​516​⎦⎤​: Nonsingular (since the determinant is -2040 ≠ 0).

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A dotted eighth note takes up 3/32 of a whole note.

To find the fraction of a whole note that a dotted eighth note takes up, we can follow these steps:

First, we should know that a whole note takes up four beats of sound.

Next, we need to figure out what a dotted eighth note sounds like. In music, a dotted note has $1\dfrac{1}{2}$ the duration of the original note.

To calculate the duration of a dotted note, we simply take the length of the note and add half of its value. For example, the duration of a dotted quarter note would be 1 + 1/2 or 1.5 beats.

Therefore, a dotted eighth note's duration will be 1/2 + 1/4 = 3/8 of a quarter note.

Because a quarter note is one beat long, a dotted eighth note is three-eighths of that length. Consequently, a dotted eighth note is $3/8$ of a quarter note.

Now, to find the fraction of a whole note, we multiply the fraction of a quarter note that a dotted eighth note represents by the fraction of a whole note that a quarter note represents.

A quarter note represents 1/4 of a whole note. Therefore, multiplying 3/8 (dotted eighth note) by 1/4 (quarter note to whole note conversion) gives us:

(3/8) * (1/4) = 3/32.

Hence, we can conclude that a dotted eighth note takes up 3/32 of a whole note.

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Speed is calculated by dividing distance by time. Here Sam is cycling at a speed of 15 km/h and Dwight at a speed of 12km/h. So Sam cycles faster.

Speed is the rate of change in distance. so it is calculated using distance/time. Here the distance is in km and time is in minutes. The unit of distance is either m/s or km/h. So we have to do conversions first.

Lets convert the minutes to hours.

Sam cycles for 20 minutes. So 20 min = 20/60 h = 0.33 h

Dwight cycles 30 minutes. So 30 min = 30/60 h = 0.5 h

Now lets calculate the speed.

Speed Sam cycles = 5 km/ 0.33 h = 15 km/h

Speed Dwight cycles = 6 km/0.5 h = 12 km/h.

So Sam is faster than Dwight.

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Answer:

Give Me The Question In English And I'll Answer It. ._.

Step-by-step explanation:

Answer:

A diameter is a chord.

Step-by-step explanation:

A diameter is a chord.It is the longest chord.