Question

Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level. The null and alternative hypothesis would be: H 0 : p = 0.6 H 1 : p > 0.6 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 H 1 : p ≠ 0.6 The test is: left-tailed right-tailed two-tailed Based on a sample of 55 people, the sample mean GPA was 2.39 with a standard deviation of 0.06 The test statistic is (to 3 decimals) The positive critical value is (to 3 decimals) Based on this we fail to reject the null hypothesis reject the null hypothesis

Answer #1

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...

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
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...

Test the claim that the mean GPA of night students is
significantly different than 2.9 at the 0.1 significance level.
Based on a sample of 20 people, the sample mean GPA was 2.87
with a standard deviation of 0.06
The test statistic is (to 3 decimals)
The positive critical value is (to 3
decimals)
Based on this we
fail to reject the null hypothesis
reject the null hypothesis

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...

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 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 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 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 0.05 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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