Question

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 is...

- less than (or equal to) αα
- greater than αα

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 82.8.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.8.
- The sample data support the claim that the population mean is not equal to 82.8.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 82.8.

Answer #1

The statistical software output for this problem is :

Test statistics = -2.418

P-value = 0.0156

The p-value is less than (or equal to) α

Reject the null hypothesis .

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.8.

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 (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 (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 (HaHa) at a significance
level of α=0.02α=0.02.
Ho:μ=88.4Ho:μ=88.4
Ha:μ<88.4Ha:μ<88.4
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=82.4M=82.4 and a standard deviation of
SD=15.3SD=15.3.
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=0.02.
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=0.02
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=0.02α=0.02.
Ho:μ=54.9Ho:μ=54.9
Ha:μ<54.9Ha:μ<54.9
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size
n=12n=12 with mean ¯x=50.5x¯=50.5 and a standard deviation of
s=8.9s=8.9.
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.02.
Ho:μ=63.1Ho
Ha:μ<63.1Ha
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=67 with
mean M=54.6 and a standard deviation of SD=20.4.
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α0.05.
Ho:μ=81.4Hoμ81.4
Ha:μ>81.4Haμ81.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=67n67
with mean M=87.9M87.9 and a standard deviation of
SD=20.4SD20.4.
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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 7 minutes ago

asked 31 minutes ago

asked 52 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