Question

You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : μ = 89.1 H 1 : μ ≠ 89.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 5 with a mean of ¯ x = 68.8 and a standard deviation of S D = 19.7 .

What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ±

What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

The test statistic is...

-in the critical region

-not in the critical region

This test statistic leads to a decision to...

-reject the null

-accept the null

-fail to reject the null

As such, the final conclusion is that...

-There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.1.

-There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.1.

-The sample data support the claim that the population mean is not equal to 89.1.

-There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.1.

Answer #1

Given,

H o : μ = 89.1

H 1 : μ ≠ 89.1

α = 0.005

n = 5, mean = 68.8, SD = 19.7

Critical value of the test is,

Test statistics of the sample,

The test statistic is - not in the critical region.

This test statistic leads to a decision to- accept null

As such, the final conclusion is that -

-There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.1.

****If you have any queries or doubts please comment below. if you're satisfied please give a like. Thank you!

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.001 . H o : μ = 66.5 H 1 : μ ≠ 66.5 You believe the
population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 72 with a mean
of M = 62.5 and a standard deviation of S D = 13.5 . What is the
critical value for this...

You wish to test the following claim ( H a ) at a significance
level of α = 0.001 .
H o : μ = 86.6
H a : μ ≠ 86.6
You believe the population is normally distributed and you know
the standard deviation is σ = 15.2 . You obtain a sample mean of M
= 88.4 for a sample of size n = 70 .
What is the critical value for this test? (Report answer
accurate to...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.005 . H o : μ = 78.7 H 1 : μ < 78.7 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 7 with a mean
of ¯ x = 74.8 and a standard deviation of S D = 5.4 .
What is the critical value for...

You wish to test the following claim ( H a H a ) at a
significance level of α = 0.005 α = 0.005 . H o : μ = 53.3 H o : μ
= 53.3 H a : μ ≠ 53.3 H a : μ ≠ 53.3 You believe the population is
normally distributed, but you do not know the standard deviation.
You obtain a sample of size n = 33 n = 33 with a mean of...

You wish to test the following claim ( H a ) at a significance
level of α = 0.02 . H o : μ = 59.2 H a : μ > 59.2 You believe
the population is normally distributed and you know the standard
deviation is σ = 7.3 . You obtain a sample mean of M = 61.6 for a
sample of size n = 50 .
What is the critical value for this test? (Report answer
accurate to...

You wish to test the following claim ( H a ) at a significance
level of α = 0.02 . H o : μ 1 = μ 2 H a : μ 1 ≠ μ 2 You believe
both populations are normally distributed, but you do not know the
standard deviations for either. However, you also have no reason to
believe the variances of the two populations are not equal. You
obtain the following two samples of data. What is...

You wish to test the following claim ( H a ) at a significance
level of α = 0.002 .
H o : μ = 68.6
H a : μ ≠ 68.6
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size n = 11
with mean M = 65.9 and a standard deviation of S D = 15.2 .
What is the test statistic for this sample? (Report...

You wish to test the following claim ( H a ) at a significance
level of α = 0.02 .
H o : μ = 55.7 H a : μ ≠ 55.7
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size n =
111 with mean M = 50.4 and a standard deviation of S D = 14.8 .
What is the test statistic for this sample? (Report...

You wish to test the following claim ( H a ) at a significance
level of α = 0.01 . For the context of this problem, μ d = μ 2 − μ
1 where the first data set represents a pre-test and the second
data set represents a post-test. H o : μ d = 0 H a : μ d ≠ 0 You
believe the population of difference scores is normally
distributed, but you do not know the...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.005 . H o : p = 0.15 H 1 : p > 0.15 You obtain a
sample of size n = 412 in which there are 85 successful
observations. What is the critical value for this test? (Report
answer accurate to three decimal places.) critical value = What is
the test statistic for this sample? (Report answer accurate to
three decimal...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 58 seconds ago

asked 7 minutes ago

asked 13 minutes ago

asked 15 minutes ago

asked 35 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago