Question

Test the claim that the mean GPA of night students is smaller
than 3.1 at the 0.005 significance level. You believe the
population is normally distributed, but you do not know the
standard deviation.

The null and alternative hypothesis would be:

H0:μ≥3.1

H1:μ<3.1

H0:p≥0.775H0

H1:p<0.775H1

H0:p=0.775H0

H1:p≠0.775H1

H0:μ=3.1H0

H1:μ≠3.1H1

H0:μ≤3.1H0

H1:μ>3.1H1

H0:p≤0.775H0

H1:p>0.775H1

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 20 people, the sample mean GPA was 3.06
with a standard deviation of 0.05

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we:

- Reject the null hypothesis
- Fail to reject the null hypothesis

Answer #1

Sample size = n = 20

Sample mean = = 3.06

Standard deviation = s = 0.05

Claim: The mean GPA of night students is smaller than 3.1

The null and alternative hypothesis is

H0:μ≥3.1

H1:μ<3.1

Level of significance = 0.05

Here population standard deviation is unknown so we have to use
t-test statistic.

Test statistic is

Degrees of freedom = n - 1 = 20 - 1 = 19

Critical value = 2.861 ( Using t table)

Test statistic | t | > Critical value we reject null hypothesis.

Conclusion:The mean GPA of night students is smaller than 3.1

1) Test the claim that the mean GPA of night students is smaller
than 3.1 at the 0.02 significance level.
a. The null and alternative hypotheses would be:
H0:p=0.775
H1:p≠0.775
H0:p=0.775
H1:p<0.775
H0:μ=3.1
H1:μ≠3.1
H0:μ=3.1
H1:μ>3.1
H0:μ=3.1
H1:μ<3.1
H0:p=0.775
H1:p>0.775
b. The test is:
*left-tailed
*right-tailed
*two-tailed
2) Based on a sample of 31 people, the sample mean GPA was 3.08
with a standard deviation of 0.14
a. The p-value is: ______ (to 3 decimals)
b. The significance level is:...

Test the claim that the mean GPA of night students is smaller
than 3 at the .05 significance level.
The null and alternative hypothesis would be:
H0:p=0.75
H1:p≠0.75
H0:μ=3
H1:μ>3
H0:p=0.75
H1:p>0.75
H0:μ=3
H1:μ<3
H0:p=0.75
H1:p<0.75
H0:μ=3
H1:μ≠3
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 35 people, the sample mean GPA was 2.97 with a
standard deviation of 0.08
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this we:
Fail...

Test the claim that the mean GPA of night students is smaller
than 3 at the .10 significance level.
The null and alternative hypothesis would be:
H0:p=0.75H0:p=0.75
H1:p<0.75H1:p<0.75
H0:μ=3H0:μ=3
H1:μ<3H1:μ<3
H0:μ=3H0:μ=3
H1:μ≠3H1:μ≠3
H0:p=0.75H0:p=0.75
H1:p≠0.75H1:p≠0.75
H0:μ=3H0:μ=3
H1:μ>3H1:μ>3
H0:p=0.75H0:p=0.75
H1:p>0.75H1:p>0.75
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 35 people, the sample mean GPA was 2.97 with a
standard deviation of 0.08
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this we:
Reject...

Test the claim that the mean GPA of night students is smaller
than 2.9 at the 0.025 significance level.
The null and alternative hypothesis would be: (MULTIPLE
CHOICE)
A.) H0:p=0.725H0:p=0.725
H1:p?0.725H1:p?0.725
B.) H0:p=0.725H0:p=0.725
H1:p<0.725H1:p<0.725
C.) H0:?=2.9H0:?=2.9
H1:?>2.9H1:?>2.9
D.) H0:?=2.9H0:?=2.9
H1:??2.9H1:??2.9
E.) H0:?=2.9H0:?=2.9
H1:?<2.9H1:?<2.9
F.) H0:p=0.725H0:p=0.725
H1:p>0.725H1:p>0.725
The test is: left tailed, right tailed or two tailed?
Based on a sample of 75 people, the sample mean GPA was 2.86
with a standard deviation of 0.07. The p-value is: ____ (to...

Test the claim that the mean GPA of night students is
significantly different than 2.3 at the 0.05 significance
level.
The null and alternative hypothesis would be:
H0:p=0.575
H1:p>0.575
H0:μ=2.3
H1:μ≠2.3
H0:p=0.575
H1:p≠0.575
H0:p=0.575
H1:p<0.575
H0:μ=2.3
H1:μ>2.3
H0:μ=2.3
H1:μ<2.3
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 40 people, the sample mean GPA was 2.26 with a
standard deviation of 0.04
The test statistic is:______ (to 2 decimals)
The positive critical value is:________ (to 2 decimals)
Based...

Test the claim that the mean GPA of night students is larger
than 3.4 at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:p=0.85H0:p=0.85
H1:p≠0.85H1:p≠0.85
H0:μ≥3.4H0:μ≥3.4
H1:μ<3.4H1:μ<3.4
H0:p≥0.85H0:p≥0.85
H1:p<0.85H1:p<0.85
H0:p≤0.85H0:p≤0.85
H1:p>0.85H1:p>0.85
H0:μ=3.4H0:μ=3.4
H1:μ≠3.4H1:μ≠3.4
H0:μ≤3.4H0:μ≤3.4
H1:μ>3.4H1:μ>3.4
The test is:
two-tailed
left-tailed
right-tailed
Based on a sample of 75 people, the sample mean GPA was 3.41 with a
standard deviation of 0.03
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
Fail to...

Test the claim that the mean GPA of night students is larger
than the mean GPA of day students at the 0.10 significance
level.
The null and alternative hypothesis would be:
H0:μN≤μD
H1:μN>μD
H0:μN≥μD
H1:μN<μD
H0:pN≤pD
H1:pN>pD
H0:μN=μD
H1:μN≠μD
H0:pN=pD
H1:pN≠pD
H0:pN≥pD
H1:pN<pD
The test is:
two-tailed
left-tailed
right-tailed
The sample consisted of 35 night students, with a sample mean GPA
of 2.74 and a standard deviation of 0.07, and 35 day students, with
a sample mean GPA of 2.73...

Test the claim that the mean GPA of night students is smaller
than 2 at the 0.10 significance level.
The null and alternative hypothesis would be:
H0H0:?pσμsx̄p̂ ?=≠≥≤<> Select an answer20.04351.950.10
H1H1:?σsx̄μp̂p ?≠=<>≤≥ Select an
answer0.040.101.95352
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 35 people, the sample mean GPA was 1.95 with a
standard deviation of 0.04
The p-value is: (to 4 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null...

Test the claim that the mean GPA of night students is smaller
than 3.3 at the 0.10 significance level. The null and alternative
hypothesis would be: H 0 : μ ≥ 3.3 H 1 : μ < 3.3 H 0 : μ = 3.3 H
1 : μ ≠ 3.3 H 0 : μ ≤ 3.3 H 1 : μ > 3.3 H 0 : p ≤ 0.825 H 1 : p
> 0.825 H 0 : p ≥ 0.825...

Test the claim that the mean GPA of night students is smaller
than 2.4 at the .01 significance level. The null and alternative
hypothesis would be: H 0 : p = 0.6 H 1 : p ≠ 0.6 H 0 : μ = 2.4 H 1
: μ ≠ 2.4 H 0 : μ = 2.4 H 1 : μ > 2.4 H 0 : μ = 2.4 H 1 : μ <
2.4 H 0 : p = 0.6...

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