The following 96% confidence interval based on a sample of 32 students was formed to estimate the population mean time that students will require to complete a particular examination: 62.4 ± 12.6 minutes. Which one of the following interpretations is correct for this confidence interval?A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutesB) We are 96% confident that the sample mean time (62.4 minutes) equals the true mean timeC) We are 96% confident that the population mean time required by students who take this test is 62.4 minutesD) We are 96% confident that the sample mean time (62.4 minutes) is correctE) We are 4% confident that an individual student taking this test will require less than 49.8 minutes or more than 75.0 minutes

Question

21-05-2020
Mathematics

contestada

The following 96% confidence interval based on a sample of 32 students was formed to estimate the population mean time that students will require to complete a particular examination: 62.4 ± 12.6 minutes. Which one of the following interpretations is correct for this confidence interval?A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutesB) We are 96% confident that the sample mean time (62.4 minutes) equals the true mean timeC) We are 96% confident that the population mean time required by students who take this test is 62.4 minutesD) We are 96% confident that the sample mean time (62.4 minutes) is correctE) We are 4% confident that an individual student taking this test will require less than 49.8 minutes or more than 75.0 minutes

Respuesta :

Otras preguntas

The image shows a bean-shaped bacterium with long tail-like projections streaming from it. What morphology is represented in the picture? spirilla rod shaped fi

from where did the raiders who ended the middle kingdom come

Some biology students wanted to determine whether a pair of brown mice purchased at a pet store was homozygous dominant or heterozygous for fur color. They let

Write an equation of the line that passes through (−5, −2)(−5, −2) and is parallel to y=23x+1y=23x+1.

4(x - 6y) please dont put stupid answers and please show some work

Whats 8 yards : 40 feet in silliest form

The zoo uses 10 pounds of apples each day . How many pounds of apples should be on the weekly grocery list ?

If a river is 20 feet wide in nature and needs to be scaled to one-tenth its real size, how wide should it be in a model?

the classical economists believed that unemployment could not persist because: A: the government would step in and stimulate the economy by increasing governme

If a star is located 40,000 light years from Earth, what can you conclude about the light from the star? Answer The light will travel 40,000 kilometers to reach

joaobezerra joaobezerra · Answer 1 · 2020-05-26T02:04:47+02:00

Answer:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

Step-by-step explanation:

x% confidence interval is between a ± b.

a is the sample mean.

b is the margin of error.

Interpretation: We are x% sure that the population mean is between a-b and a+b.

In this question:

96% confidence interval for the mean time that students will require to complete a particular examination. Between 62.4 - 12.6 = 49.8 minutes and 62.4 + 12.6 = 75 minutes.

The correct interpretation is that we are 96% sure that the population mean is in this interval.

So the correct answer is:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

dfbustos dfbustos · Answer 2 · 2020-05-26T02:39:35+02:00

Answer:

The confidence interval for the true mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)

The confidence interval for this case i given by:

[tex] 62.4 -12.6 \leq \mu \leq 62.4+12.6[/tex]

[tex] 49.8 \leq \mu \leq 75.0[/tex]

For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes

Step-by-step explanation:

The confidence interval for the true mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)

The confidence interval for this case i given by:

[tex] 62.4 -12.6 \leq \mu \leq 62.4+12.6[/tex]

[tex] 49.8 \leq \mu \leq 75.0[/tex]

For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:

A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes