Question

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 answer accurate to three decimal places.) test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

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 68.6.

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6.

The sample data support the claim that the population mean is not equal to 68.6.

There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.6

Answer #1

Hypothesis : VS

The value of the sample test statistic is ,

The p-value for this sample is ,

P-value = ; From excel "=TDIST(0.589,10,2)

Decision : Here , P-value = 0.5689 > α = 0.002

Therefore , fail to reject the null hypothesis

Conclusion : There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6.

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 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 = 0.001 .
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 = 0.05 . 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 = 0.01 . 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...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 29 minutes ago

asked 50 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago