Question

You wish to test the following claim at a significance level of 0.10. H 0 : μ = 53.1 H 1 : μ < 53.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 115 with a mean of 49.3 and a standard deviation of 15.2. What is the critical value for this test? (Report answer accurate to 3 decimal places.) What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) 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 conclude that the population mean is equal to 53.1. there is not sufficient evidence to conclude that the population mean is equal to 53.1. there is sufficient evidence to conclude that the population mean is less than 53.1. there is not sufficient evidence to conclude that the population mean is less than 53.1.

Answer #1

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 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 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 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 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 ) 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 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 = 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 = 0.02 . 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...

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