Question

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 we:

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

Answer #1

This is the two tailed test .

The null and alternative hypothesis is

H_{0} :
= 3.3

H_{a} :
3.3

Test statistic = z

= ( - ) / / n

= (3.32 - 3.3) / 0.06 / 70

Test statistic = 2.79

= 0.01

/ 2 = 0.01 / 2 = 0.005

Z_{/2}
= Z _{0.005} = 2.576

Positive critical; value = +2.576

Test statistics > Positive critical; value

Reject the null hypothesis .

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 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
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 at the 0.1 significance level.
The null and alternative hypothesis would be:
H0:μ≥2H0:μ≥2
H1:μ<2H1:μ<2
or
H0:μ=2H0:μ=2
H1:μ≠2H1:μ≠2
or
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
or
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
or
H0:μ≤2H0:μ≤2
H1:μ>2H1:μ>2
or
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
The test is:
left-tailed
or
two-tailed
or
right-tailed
Based on a sample of 80 people, the sample mean GPA was 1.97 with a
standard deviation of 0.02
The p-value is: ____ (to 2 decimals)
Based on...

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...

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 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...

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...

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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