Question

You wish to test the following claim (HaHa) at a significance
level of α=0.002.

Ho:μ=70.3

Ha:μ>70.3

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=6 with
mean M=81.2 and a standard deviation of SD=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 (HaHa) at a significance
level of α=0.005.

Ho:μ=52.7

Ha:μ>52.7

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=52 with
mean M=57.6 and a standard deviation of SD=11.4.

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 =

Answer #1

The statistical software output for this problem is :

(1)

Test statistics = 2.495

P-value = 0.0274

2)

Test statistics = 3.099

P-value = 0.0016

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=72.2Ho:μ=72.2
Ha:μ<72.2Ha:μ<72.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=31n=31
with mean M=67.7M=67.7 and a standard deviation of
SD=15.6SD=15.6.
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=0.002.
Ho:μ=79.8
Ha:μ<79.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=30 with
mean M=67.4 and a standard deviation of SD=16.5.
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=0.001α=0.001.
Ho:μ=57.1Ho:μ=57.1
Ha:μ<57.1Ha:μ<57.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
64.2
53.3
64.2
38.6
54.4
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 =

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=86.2Ho:μ=86.2
Ha:μ>86.2Ha:μ>86.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size
n=14n=14with mean M=103.2M=103.2 and a standard deviation of
SD=16.7SD=16.7.
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 (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...

You wish to test the following claim (HaHa) at a significance
level of α=0.01.
Ho:μ=50.7
Ha:μ≠50.7
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
Column A
Column B
Column C
Column D
Column E
67.3
24.2
30.6
19.1
59.5
91.4
74.5
27.2
50.3
59.5
74.5
34.2
19.1
44.1
55.6
32.1
56.7
58.3
46.2
40.3
39.2
55
81.2
48.3
58.3
67.3
63.1
56.1
73.4
48.8
39.7
49.8...

You wish to test the following claim (Ha) at a significance
level of α=0.001.
Ho:μ=70.2
Ha:μ>70.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
68
96.1
92.9
66.5
49.1
52.7
81.9
60.6
65.6
87.3
89
81
78.4
57.1
100.3
1. What is the critical value for this test? (Report answer
accurate to three decimal places.)
critical value =
2. What is the test statistic for...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=72.9Ho:μ=72.9
Ha:μ>72.9Ha:μ>72.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=337n=337
with a mean of M=73.4M=73.4 and a standard deviation of
SD=19.3SD=19.3.
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
to three...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=54.2Ho:μ=54.2
Ha:μ>54.2Ha:μ>54.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=403n=403
with a mean of M=55.3M=55.3 and a standard deviation of
SD=7.4SD=7.4.
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 (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...

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