Question

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 reject the null hypothesis
- Reject the null hypothesis

Answer #1

Solution:

The null and alternative hypothesis is,

Ho: 3.4

Ha: 3.4

This a right (One) tailed test.

The test statistics,

t =( - )/ (s /n)

= ( 3.41 - 3.4 ) / ( 0.03 / 75 )

= 2.89

P-value = 0.002

Since, P-value = 0.00 < 0.10, Reject the null hypothesis.

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 larger
than 2.4 at the 0.025 significance level.
The null and alternative hypothesis would be:
H0:p≤0.6H0:p≤0.6
H1:p>0.6H1:p>0.6
H0:μ≤2.4H0:μ≤2.4
H1:μ>2.4H1:μ>2.4
H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6
H0:p≥0.6H0:p≥0.6
H1:p<0.6H1:p<0.6
H0:μ≥2.4H0:μ≥2.4
H1:μ<2.4H1:μ<2.4
H0:μ=2.4H0:μ=2.4
H1:μ≠2.4H1:μ≠2.4
The test is:
two-tailed
right-tailed
left-tailed
Based on a sample of 75 people, the sample mean GPA was 2.43 with a
standard deviation of 0.05
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the...

Test the claim that the mean GPA of night students is larger
than 2.6 at the 0.10 significance level. The null and alternative
hypothesis would be: H 0 : μ = 2.6 H 1 : μ ≠ 2.6 H 0 : μ ≥ 2.6 H 1
: μ < 2.6 H 0 : p ≤ 0.65 H 1 : p > 0.65 H 0 : p = 0.65 H 1 :
p ≠ 0.65 H 0 : p ≥ 0.65...

Test the claim that the mean GPA of night students is
significantly different than 3 at the 0.1 significance level.
1. 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: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
2. The test is:
two-tailed
left-tailed
right-tailed
3. Based on a sample of 75 people, the sample mean GPA was 3.05
with a standard deviation of 0.03
The p-value is: (to 2 decimals)
4. Based on this we:
Reject the null...

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...

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 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 3.2 at the 0.01 significance
level.
The null and alternative hypothesis would be:
A) H0:μ=3.2H0:μ=3.2
H1:μ≠3.2H1:μ≠3.2
B) H0:μ=3.2H0:μ=3.2
H1:μ<3.2H1:μ<3.2
C) H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
D) H0:μ=3.2H0:μ=3.2
H1:μ>3.2H1:μ>3.2
E) H0:p=0.8H0:p=0.8
H1:p>0.8H1:p>0.8
F) H0:p=0.8H0:p=0.8
H1:p<0.8H1:p<0.8
The test is:
A) right-tailed
B) two-tailed
C) left-tailed
Based on a sample of 25 people, the sample mean GPA was 3.15 with a
standard deviation of 0.03
The test statistic is:___ (to 2 decimals)...

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...

Test the claim that the mean GPA of night students is
significantly different than 2.8 at the 0.02 significance level.
The null and alternative hypothesis would be: H 0 : p ≤ 0.7
H0:p≤0.7 H 1 : p > 0.7 H1:p>0.7 H 0 : p ≥ 0.7 H0:p≥0.7 H 1 :
p < 0.7 H1:p<0.7 H 0 : p = 0.7 H0:p=0.7 H 1 : p ≠ 0.7
H1:p≠0.7 H 0 : μ ≥ 2.8 H0:μ≥2.8 H 1 : μ...

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