Question

Test the claim that the mean GPA of night students is
significantly different than the mean GPA of day students at the
0.1 significance level.

The null and alternative hypothesis would be:

H0:μN=μDH0:μN=μD

H1:μN<μDH1:μN<μD

H0:μN=μDH0:μN=μD

H1:μN≠μDH1:μN≠μD

H0:pN=pDH0:pN=pD

H1:pN>pDH1:pN>pD

H0:μN=μDH0:μN=μD

H1:μN>μDH1:μN>μD

H0:pN=pDH0:pN=pD

H1:pN≠pDH1:pN≠pD

H0:pN=pDH0:pN=pD

H1:pN<pDH1:pN<pD

The test is:

left-tailed

two-tailed

right-tailed

The sample consisted of 65 night students, with a sample mean GPA
of 2.66 and a standard deviation of 0.06, and 40 day students, with
a sample mean GPA of 2.64 and a standard deviation of 0.03.

The test statistic is: 2.27 (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

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

PLEASE EXPLAIN HOW TO CALCULATE P VALUE

Answer #1

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Test the claim that the mean GPA of night students is larger
than the mean GPA of day students at the .005 significance
level.
The null and alternative hypothesis would be:
H0:pN=pDH0:pN=pD
H1:pN<pDH1:pN<pD
H0:pN=pDH0:pN=pD
H1:pN>pDH1:pN>pD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H0:μN=μDH0:μN=μD
H1:μN>μDH1:μN>μD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:μN=μDH0:μN=μD
H1:μN<μDH1:μN<μD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 70 night students, with a sample mean GPA
of 2.58 and a standard deviation of 0.04, and 30 day students, with
a sample mean GPA of 2.53...

Test the claim that the mean GPA of night students is
significantly different than the mean GPA of day students at the
0.2 significance level.
The null and alternative hypothesis would be:
H0:pN=pD
H1:pN<pD
H0:pN=pD
H1:pN≠pD
H0:pN=pD
H1:pN>pD
H0:μN=μD
H1:μN≠μD
H0:μN=μD
H1:μN<μD
H0:μN=μD
H1:μN>μD
The test is:
two-tailed
right-tailed
left-tailed
The sample consisted of 25 night students, with a sample mean GPA
of 2.01 and a standard deviation of 0.08, and 60 day students, with
a sample mean GPA of...

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...

1. Test the claim that the mean GPA of night students is smaller
than the mean GPA of day students at the .05 significance
level.
The null and alternative hypothesis would be:
H0:μN≤μDH0:μN≤μD
H1:μN>μDH1:μN>μD
H0:pN≥pDH0:pN≥pD
H1:pN<pDH1:pN<pD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:pN≤pDH0:pN≤pD
H1:pN>pDH1:pN>pD
H0:μN≥μDH0:μN≥μD
H1:μN<μDH1:μN<μD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
The test is:
right-tailed
two-tailed
left-tailed
The sample consisted of 30 night students, with a sample mean GPA
of 3.33 and a standard deviation of 0.03, and 40 day students, with
a sample mean GPA of...

Test the claim that the mean GPA of night students is larger
than the mean GPA of day students at the 0.025 significance
level.
The null and alternative hypothesis is
H0:μN≤μD
H1:μN>μD
The test is right tailed
The sample consisted of 25 night students, with a sample mean
GPA of 2.11 and a standard deviation of 0.06, and 25 day students,
with a sample mean GPA of 2.1 and a standard deviation of
0.07.
The test statistic is:
The p-value...

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
significantly different than 3.3 at the 0.01 significance
level.
The null and alternative hypothesis would be:
H0:μ=3.3H0:μ=3.3
H1:μ≠3.3H1:μ≠3.3
H0:p=0.825H0:p=0.825
H1:p≠0.825H1:p≠0.825
H0:μ=3.3H0:μ=3.3
H1:μ<3.3H1:μ<3.3
H0:μ=3.3H0:μ=3.3
H1:μ>3.3H1:μ>3.3
H0:p=0.825H0:p=0.825
H1:p>0.825H1:p>0.825
H0:p=0.825H0:p=0.825
H1:p<0.825H1:p<0.825
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 70 people, the sample mean GPA was 3.32 with a
standard deviation of 0.06
The test statistic is: (to 2 decimals)
The positive critical value is: (to 2 decimals)
Based on this...

a. Test the claim that the mean GPA of night students is
significantly different than 3.2 at the 0.05 significance level.
The null and alternative hypothesis would be:
Null Hypothesis: mu = 3.2
Alternative Hypothesis: mu ≠ 3.2
The test is: two-tailed
Based on a sample of 40 people, the sample mean GPA was 3.18
with a standard deviation of 0.04
The test statistic is: _____(to 2 decimals)
The positive critical value is:______ (to 2 decimals)
b. Test the claim...

A random sample of 15 night students was taken with a sample
mean GPA of 3.32 and a standard deviation of 0.04. A random sample
of 18 day students was taken with a sample mean GPA of 3.3 and a
standard deviation of 0.02. Test the claim that the mean GPA of
night students (μN) is different than the mean GPA of day students
(μD) at α= 0.01. Assume that the data come from normal populations
with unequal variances.
Round...

Test the claim that the mean GPA of night students is
significantly different than 3.2 at the 0.05 significance
level.
The null and alternative hypothesis would be:
H0:μ≥3.2H0:μ≥3.2
H1:μ<3.2H1:μ<3.2
H0:μ≤3.2H0:μ≤3.2
H1:μ>3.2H1:μ>3.2
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:μ=3.2H0:μ=3.2
H1:μ≠3.2H1:μ≠3.2
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 25 people, the sample mean GPA was 3.19 with a
standard deviation of 0.08
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject...

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