Question

You wish to test the following claim (Ha) at a significance
level of α=0.10.

Ho:μ=56.1

Ha:μ≠56.1

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=9 with
mean M=53.6 and a standard deviation of SD=5.1.

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
**OR** - greater than α

This p-value 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 56.1.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 56.1.
- The sample data support the claim that the population mean is not equal to 56.1.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 56.1.

Answer #1

Solution :

This is the two tailed test .

Test statistic = t

= ( - ) / s / n

= (53.6 - 56.1) /5.1 / 9

= -1.47

P(z < -1.47) = 0.0708

df = 8

P-value = 0.1798

= 0.10

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 56.1.

You wish to test the following claim (Ha) at a significance
level of α=0.005.
Ho:μ=87.1
Ha:μ≠87.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=642 with
mean M=88.5 and a standard deviation of SD=13.1.
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...

You wish to test the following claim (Ha) at a significance
level of α=0.02.
Ho:μ=81.8
Ha:μ≠81.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=7 with
mean M=77 and a standard deviation of SD=9.1.
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...

You wish to test the following claim (Ha) at a significance
level of α=0.05
Ho:μ=82.8
Ha:μ≠82.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=17 with
mean M=77.9 and a standard deviation of SD=16.9.
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.)...

You wish to test the following claim (Ha) at a significance
level of α=0.02
Ho:μ=55.5
Ha:μ>55.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=24 with
a mean M=59.6 and a standard deviation of SD=10.1
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
(A)less than (or equal to) αα
(B)greater than αα
This p-value leads to...

You wish to test the following claim (Ha) at a significance
level of α=0.05
Ho:μ=84.2
Ha:μ<84.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=4 with
mean M=82.7 and a standard deviation of SD=6.1.
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=50.1Ho:μ=50.1
Ha:μ<50.1Ha:μ<50.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=20n=20
with mean M=42.7M=42.7and a standard deviation of
SD=11.4SD=11.4.
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) αα
greater than αα
This p-value leads to a...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=88.2Ho:μ=88.2
Ha:μ>88.2Ha:μ>88.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=27n=27
with mean M=92.6M=92.6 and a standard deviation of
SD=7.4SD=7.4.
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) αα
greater than αα
This p-value leads to a...

You wish to test the following claim (Ha) at a significance
level of α=0.02α=0.02.
Ho:μ=82.8
Ha:μ≠82.8
You believe the population is normally distributed and you know the
standard deviation is σ=12.7. You obtain a sample mean of M=76.1
for a sample of size n=21
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:μ=77.9Ho:μ=77.9
Ha:μ≠77.9Ha:μ≠77.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=17n=17
with mean M=81.7M=81.7 and a standard deviation of
SD=19.8SD=19.8.
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) αα
greater than αα
This p-value leads to a...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:μ=69.5Ho:μ=69.5
Ha:μ≠69.5Ha:μ≠69.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=26n=26
with mean M=67.8M=67.8 and a standard deviation of
SD=17.2SD=17.2.
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) αα
greater than αα
This p-value leads to a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 18 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 29 minutes ago

asked 46 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago