Question

You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : μ = 59.6 H a : μ ≠ 59.6 You believe the population is normally distributed and you know the population standard deviation is σ = 8.7 . You obtain a sample mean of ¯ x = 64.2 for a sample of size n = 21 . What is the test statistic for this sample? test statistic = Round to 3 decimal places What is the p-value for this sample? p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α 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 59.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.6. The sample data support the claim that the population mean is not equal to 59.6. There is not sufficient sample evidence to support the claim that the population mean is not equal to 59.6.

Answer #1

TOPIC:One sample z-test for the population mean.

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 = 0.001 . H o : μ = 55.5 H a : μ < 55.5 You believe
the population is normally distributed, but you do not know the
standard deviation. data 48.7 46.4 65.8
What is the test statistic for this sample? test statistic =
Round to 3 decimal places
What is the p-value for this sample? p-value = Round to 4
decimal...

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 = 64.4 H o : μ
= 64.4 H a : μ ≠ 64.4 H a : μ ≠ 64.4 You believe the population is
normally distributed, but you do not know the standard deviation.
You obtain the following sample of data: data 71.9 77.5 85.1 What
is the test statistic...

You wish to test the following claim ( H a ) at a significance
level of α = 0.05 . H o : μ = 79.7 H a : μ > 79.7 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain the following sample of data: data
79.1 83.4 98.1 What is the test statistic for this sample? (Report
answer accurate to three decimal places.) test statistic = What is
the p-value...

You wish to test the following claim ( H a ) at a significance
level of α = 0.005 . H o : μ = 77.3 H a : μ < 77.3 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain the following sample of data:
data
85.8
45.6
62.2
42.6
71.6
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
What is...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.005 . H 0 : μ = 74.5 H 1 : μ > 74.5 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 15 with mean ¯
x = 86.8 and a standard deviation of s = 13.2 . What is the test
statistic for this sample? (Report...

You wish to test the following claim ( H a Ha ) at a
significance level of α = 0.05 α=0.05 . H o : μ = 73.4 Ho:μ=73.4 H
a : μ > 73.4 Ha:μ>73.4 You believe the population is normally
distributed, but you do not know the standard deviation. You obtain
a sample of size n = 67 n=67 with mean M = 75.5 M=75.5 and a
standard deviation of S D = 13.4 SD=13.4 .
What is...

You wish to test the following claim ( H a Ha ) at a
significance level of α = 0.001 α=0.001 . H o : μ = 72.1 Ho:μ=72.1
H a : μ < 72.1 Ha:μ<72.1 You believe the population is
normally distributed, but you do not know the standard deviation.
You obtain a sample of size n = 4 n=4 with mean M = 58.5 M=58.5 and
a standard deviation of S D = 18.1 SD=18.1 . What is...

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...

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