Question

You wish to test the following claim ( H 1 ) at a significance level of...

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 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 66.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.5. The sample data support the claim that the population mean is not equal to 66.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to 66.5.

Homework Answers

Answer #1

(a)

= 0.001

ndf = n - 1 = 72 -1 = 71

From Table, critical values of t = 3.433

(b)

SE = s/

= 13.5/ = 1.5910

Test statistic is:

t = (62.5 - 66.5)/1.5910 = - 2.514

So,

the test statistic is - 2.514

(c)

The test statistic is not in the critical region.

(d)

The test statistic leads to a decision to fail to reject the null.

(e) As such the final conclusion is that there is not sufficient evidence to support the claim that the population mean is not equal to 66.5.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You wish to test the following claim ( H 1 ) at a significance level of...
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...
You wish to test the following claim ( H a ) at a significance level of...
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...
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...
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...
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...
You wish to test the following claim ( H a ) at a significance level of α = 0.001 . H o : μ = 90.9 H a : μ > 90.9 You believe the population is normally distributed and you know the standard deviation is σ = 15.2 . You obtain a sample mean of M = 97.7 for a sample of size n = 39 . 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...
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...
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...
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...
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...