Question

You wish to test the following claim (H1H1) at a significance
level of α=0.10α=0.10.

Ho:μ=79.9Ho:μ=79.9

H1:μ≠79.9H1:μ≠79.9

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=331n=331
with a mean of M=80.6M=80.6 and a standard deviation of
SD=8.2SD=8.2.

What is the critical value for this test? (Report answer accurate
to three decimal places.)

critical value = ±±

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)

test statistic =

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 warrant rejection of the claim that the population mean is not equal to 79.9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.9.
- The sample data support the claim that the population mean is not equal to 79.9.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 79.9.

Answer #1

Given that

Ho:μ=79.9

H1:μ≠79.9

And

n=331 with a mean of M=80.6 and a standard deviation of SD=8.2

T critical = T.INV.2T(alpha, n-1)

setting alpha = 0.10 and n-1 = 331 -1 = 330

t critical = T.INV.2T(0.10,330) =

Using TI 84 calculator

press stat then tests then Ttest

enter the data

press calculate

we get

test statistic = 1.553

test statistic is

- in the critical region

test statistic leads to a decision to...

- fail to reject the null (because test statistic is insignificant)

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.9.

You wish to test the following claim (H1H1) at a significance
level of α=0.001α=0.001.
Ho:μ=82.3Ho:μ=82.3
H1:μ>82.3H1:μ>82.3
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 a mean of ¯x=90x¯=90 and a standard deviation of
SD=11.9SD=11.9.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate
to three...

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=69.9Ho:μ=69.9
H1:μ>69.9H1:μ>69.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
77.2
76.4
66.7
68.1
66
69.2
81.3
76.2
74.9
70.9
78.3
70.2
76.2
73.2
68.8
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample?...

You wish to test the following claim (H1H1) at a significance
level of α=0.002α=0.002.
Ho:μ=89.3Ho:μ=89.3
H1:μ≠89.3H1:μ≠89.3
You believe the population is normally distributed and you know the
standard deviation is σ=13.2σ=13.2. You obtain a sample mean of
¯x=94x¯=94 for a sample of size n=75n=75.
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 (H1H1) at a significance
level of α=0.002α=0.002.
Ho:μ=89.3Ho:μ=89.3
H1:μ≠89.3H1:μ≠89.3
You believe the population is normally distributed and you know the
standard deviation is σ=13.2σ=13.2. You obtain a sample mean of
¯x=94x¯=94 for a sample of size n=75n=75.
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 (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=82.5Ho:μ=82.5
H1:μ≠82.5H1:μ≠82.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=449n=449
with mean M=81.7M=81.7 and a standard deviation of
SD=10.7SD=10.7.
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 (H1) at a significance
level of α=0.01.
Ho:μ=82.6
H1:μ>82.6
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
84.2
79.3
95
87.8
81.6
86.2
82.9
112.6
102.1
85
96.7
67.3
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate...

You wish to test the following claim (H1H1) at a significance
level of α=0.002α=0.002.
Ho:μ=63.9Ho:μ=63.9
H1:μ<63.9H1:μ<63.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
82.5
57.8
79.7
47.4
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 =
The p-value is......

You wish to test the following claim (H1H1) at a significance
level of α=0.002α=0.002.
Ho:μ=51.3Ho:μ=51.3
H1:μ<51.3H1:μ<51.3
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=627n=627
with mean ¯x=49.8x¯=49.8 and a standard deviation of
s=8.9s=8.9.
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.)
p-value...

You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
Ho:μ=71.3Ho:μ=71.3
H1:μ>71.3H1:μ>71.3
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=33n=33
with mean M=78.3M=78.3 and a standard deviation of
SD=18.3SD=18.3.
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 (H1H1) at a significance
level of α=0.05α=0.05.
Ho:μ=89.5Ho:μ=89.5
H1:μ>89.5H1:μ>89.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=61n=61
with mean M=92.6M=92.6 and a standard deviation of
SD=12.3SD=12.3.
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 1 minute ago

asked 5 minutes ago

asked 6 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 18 minutes ago

asked 24 minutes ago

asked 29 minutes ago

asked 38 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago