Test the claim that the mean GPA of night students is smaller than 2.5 at the .05 significance level.

The null and alternative hypothesis would be:

H0:μ=2.5H0:μ=2.5

H1:μ≠2.5H1:μ≠2.5

H1:μ≠2.5H1:μ≠2.5

H0:p=0.625H0:p=0.625

H1:p≠0.625H1:p≠0.625

H1:p≠0.625H1:p≠0.625

H0:p=0.625H0:p=0.625

H1:p>0.625H1:p>0.625

H1:p>0.625H1:p>0.625

H0:p=0.625H0:p=0.625

H1:p<0.625H1:p<0.625

H1:p<0.625H1:p<0.625

H0:μ=2.5H0:μ=2.5

H1:μ>2.5H1:μ>2.5

H1:μ>2.5H1:μ>2.5

H0:μ=2.5H0:μ=2.5

H1:μ<2.5H1:μ<2.5

H1:μ<2.5H1:μ<2.5

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 35 people, the sample mean GPA was 2.46 with a standard deviation of 0.03

The test statistic is: (to 2 decimals)

The critical value is: (to 2 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 larger than 3.5 at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:p≤0.875H0:p≤0.875

H1:p>0.875H1:p>0.875

H1:p>0.875H1:p>0.875

H0:μ≥3.5H0:μ≥3.5

H1:μ<3.5H1:μ<3.5

H1:μ<3.5H1:μ<3.5

H0:μ=3.5H0:μ=3.5

H1:μ≠3.5H1:μ≠3.5

H1:μ≠3.5H1:μ≠3.5

H0:p≥0.875H0:p≥0.875

H1:p<0.875H1:p<0.875

H1:p<0.875H1:p<0.875

H0:μ≤3.5H0:μ≤3.5

H1:μ>3.5H1:μ>3.5

H1:μ>3.5H1:μ>3.5

H0:p=0.875H0:p=0.875

H1:p≠0.875H1:p≠0.875

H1:p≠0.875H1:p≠0.875

The test is:

two-tailed

left-tailed

right-tailed

Based on a sample of 30 people, the sample mean GPA was 3.51 with a standard deviation of 0.06

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

Question HelpQuestion 2:

*Message*Message instruct

Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level.

The null and alternative hypothesis would be which one:

H0:pN=pD

H1:pN<pD

H1:pN<pD

H0:pN=pD

H1:pN>pD

H1:pN>pD

H0:μN=μD

H1:μN>μD

H1:μN>μD

H0:μN=μD

H1:μN<μD

H1:μN<μD

H0:μN=μD

H1:μN≠μD

H1:μN≠μD

H0:pN=pD

H1:pN≠pD

H1:pN≠pD

The test is:

two-tailed

right-tailed

left-tailed

The sample consisted of 60 night students, with a sample mean GPA of 2.3 and a standard deviation of 0.04, and 60 day students, with a sample mean GPA of 2.34 and a standard deviation of 0.02.

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

Test the claim that the mean GPA of night students is smaller than 3.3 at the .025 significance level.

The null and alternative hypothesis would be:

H0:μ=3.3 H1:μ≠3.3

H0:p=0.825 H1:p≠0.825

H0:μ=3.3 H1:μ<3.3

H0:p=0.825 H1:p<0.825

H0:μ=3.3 H1:μ>3.3

H0:p=0.825 H1:p>0.825

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 80 people, the sample mean GPA was 3.28 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 to reject the null hypothesis
- Reject the null hypothesis

Test the claim that the mean GPA of night students is significantly different than 2.1 at the 0.01 significance level.

The null and alternative hypothesis would be:

- H0:μ≥2.1

H1:μ<2.1 - H0:μ=2.1

H1:μ≠2.1 - H0:p=0.525

H1:p≠0.525 - H0:p≤0.525

H1:p>0.525 - H0:μ≤2.1

H1:μ>2.1

H0:p≥0.525

H1:p<0.525

H1:p<0.525

The test is:?????

left-tailed

right-tailed

two-tailed

Based on a sample of 80 people, the sample mean GPA was 2.15 with a standard deviation of 0.02

The test statistic is: (to 2 decimals)???TI-84

The p-value is: (to 2 decimals)????TI-84

Based on this we:????

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

Test the claim that the mean GPA of night students is significantly different than 2 at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:p≥0.5 H1:p<0.5

H0:p≤0.5 H1:p>0.5

H0:μ≤2 H1:μ>2

H0:p=0.5 H1:p≠0.5

H0:μ≥2 H1:μ<2

H0:μ=2 H1:μ≠2

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 30 people, the sample mean GPA was 2.05 with a standard deviation of 0.07

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

Test the claim that the mean GPA of Orange Coast students is significantly different than the mean GPA of Coastline students at the 0.1 significance level.

The null and alternative hypothesis would be:

H0:pO≤pCH0:pO≤pC

H1:pO>pCH1:pO>pC

H1:pO>pCH1:pO>pC

H0:pO=pCH0:pO=pC

H1:pO≠pCH1:pO≠pC

H1:pO≠pCH1:pO≠pC

H0:pO≥pCH0:pO≥pC

H1:pO<pCH1:pO<pC

H1:pO<pCH1:pO<pC

H0:μO=μCH0:μO=μC

H1:μO≠μCH1:μO≠μC

H1:μO≠μCH1:μO≠μC

H0:μO≥μCH0:μO≥μC

H1:μO<μCH1:μO<μC

H1:μO<μCH1:μO<μC

H0:μO≤μCH0:μO≤μC

H1:μO>μCH1:μO>μC

H1:μO>μCH1:μO>μC

The test is:

left-tailed

right-tailed

two-tailed

The sample consisted of 80 Orange Coast students, with a sample mean GPA of 2.73 and a standard deviation of 0.08, and 80 Coastline students, with a sample mean GPA of 2.68 and 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

Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:μ≤3.5H0:μ≤3.5

H1:μ>3.5H1:μ>3.5

H1:μ>3.5H1:μ>3.5

H0:p≤0.875H0:p≤0.875

H1:p>0.875H1:p>0.875

H1:p>0.875H1:p>0.875

H0:μ≥3.5H0:μ≥3.5

H1:μ<3.5H1:μ<3.5

H1:μ<3.5H1:μ<3.5

H0:μ=3.5H0:μ=3.5

H1:μ≠3.5H1:μ≠3.5

H1:μ≠3.5H1:μ≠3.5

H0:p≥0.875H0:p≥0.875

H1:p<0.875H1:p<0.875

H1:p<0.875H1:p<0.875

H0:p=0.875H0:p=0.875

H1:p≠0.875H1:p≠0.875

H1:p≠0.875H1:p≠0.875

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 50 people, the sample mean GPA was 3.48 with a standard deviation of 0.07

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

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

The sample consisted of 40 night students, with a sample mean GPA of 3.29 and a standard deviation of 0.03, and 40 day students, with a sample mean GPA of 3.32 and a standard deviation of 0.06.

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

please please please explain what the variables mean

H0:μN=μDH0:μN=μD

H1:μN≠μDH1:μN≠μD

and what functions to use on my ti84 to find the answers

Test the claim that the mean GPA of night students is significantly different than 3.3 at the 0.1 significance level.

The null and alternative hypothesis would be:

H0:p=0.825H0:p=0.825

H1:p≠0.825H1:p≠0.825

H1:p≠0.825H1:p≠0.825

H0:p=0.825H0:p=0.825

H1:p>0.825H1:p>0.825

H1:p>0.825H1:p>0.825

H0:p=0.825H0:p=0.825

H1:p<0.825H1:p<0.825

H1:p<0.825H1:p<0.825

H0:μ=3.3H0:μ=3.3

H1:μ≠3.3H1:μ≠3.3

H1:μ≠3.3H1:μ≠3.3

H0:μ=3.3H0:μ=3.3

H1:μ<3.3H1:μ<3.3

H1:μ<3.3H1:μ<3.3

H0:μ=3.3H0:μ=3.3

H1:μ>3.3H1:μ>3.3

H1:μ>3.3H1:μ>3.3

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 60 people, the sample mean GPA was 3.33 with a standard deviation of 0.03

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

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

Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.04 significance level.

The null and alternative hypotheses would be:

H0:μ=2.7H0:μ=2.7

H1:μ≠2.7H1:μ≠2.7

H1:μ≠2.7H1:μ≠2.7

H0:p=0.675H0:p=0.675

H1:p>0.675H1:p>0.675

H1:p>0.675H1:p>0.675

H0:p=0.675H0:p=0.675

H1:p<0.675H1:p<0.675

H1:p<0.675H1:p<0.675

H0:μ=2.7H0:μ=2.7

H1:μ>2.7H1:μ>2.7

H1:μ>2.7H1:μ>2.7

H0:p=0.675H0:p=0.675

H1:p≠0.675H1:p≠0.675

H1:p≠0.675H1:p≠0.675

H0:μ=2.7H0:μ=2.7

H1:μ<2.7H1:μ<2.7

H1:μ<2.7H1:μ<2.7

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 30 people, the sample mean GPA was 2.66 with a standard deviation of 0.16

The p-value is: (to 3 decimals)

The positive significance level is: (to 2 decimals)

Based on this we:

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

Test the claim that the mean GPA of night students is smaller than 2.5 at the .05 significance level.

The null and alternative hypothesis would be:

H0:p=0.625H0:p=0.625

H1:p>0.625H1:p>0.625

H1:p>0.625H1:p>0.625

H0:p=0.625H0:p=0.625

H1:p<0.625H1:p<0.625

H1:p<0.625H1:p<0.625

H0:μ=2.5H0:μ=2.5

H1:μ≠2.5H1:μ≠2.5

H1:μ≠2.5H1:μ≠2.5

H0:p=0.625H0:p=0.625

H1:p≠0.625H1:p≠0.625

H1:p≠0.625H1:p≠0.625

H0:μ=2.5H0:μ=2.5

H1:μ>2.5H1:μ>2.5

H1:μ>2.5H1:μ>2.5

H0:μ=2.5H0:μ=2.5

H1:μ<2.5H1:μ<2.5

H1:μ<2.5H1:μ<2.5

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 55 people, the sample mean GPA was 2.49 with a standard deviation of 0.05

The test statistic is: (to 2 decimals)

The critical value is: (to 2 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 larger than 2.3 at the .10 significance level.

The null and alternative hypothesis would be:

A.)

H0:p=0.575H0:p=0.575

H1:p<0.575H1:p<0.575

H1:p<0.575H1:p<0.575

b.)

H0:p=0.575H0:p=0.575

H1:p≠0.575H1:p≠0.575

H1:p≠0.575H1:p≠0.575

c.)

H0:p=0.575H0:p=0.575

H1:p>0.575H1:p>0.575

H1:p>0.575H1:p>0.575

d.)

H0:μ=2.3H0:μ=2.3

H1:μ≠2.3H1:μ≠2.3

H0:μ=2.3H0:μ=2.3

H1:μ≠2.3H1:μ≠2.3

e.)

H0:μ=2.3H0:μ=2.3

H1:μ>2.3H1:μ>2.3

H0:μ=2.3H0:μ=2.3

H1:μ>2.3H1:μ>2.3

f.)

H0:μ=2.3H0:μ=2.3

H1:μ<2.3H1:μ<2.3

H1:μ<2.3H1:μ<2.3

The test is:

a.)left-tailed

b.)right-tailed

C.)two-tailed

Based on a sample of 75 people, the sample mean GPA was 2.35 with a standard deviation of 0.05

The test statistic is: (to 2 decimals)=

The critical value is: (to 2 decimals)=

Based on this we:

A.)Reject the null hypothesis

B.)Fail to reject the null hypothesis

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