Question

In: Statistics and Probability

You are testing the claim that the mean GPA of night students is different than the...

You are testing the claim that the mean GPA of night students is different than the mean GPA of day students.

You sample 40 night students, and the sample mean GPA is 2.28 with a standard deviation of 0.56

You sample 30 day students, and the sample mean GPA is 2.13 with a standard deviation of 0.87

Calculate the test statistic, rounded to 2 decimal places

Solutions

Expert Solution

We are testing the claim that the mean GPA of night students is different than the mean GPA of day students.

For the night students, sample size is 40, sample mean is 2.28 and standard deviation is 0.56.

For the day students, sample size is 30, sample mean is 2.13 and standard deviation is 0.87.

We have to calculate the test statistic, rounded to two decimal places.

So, we are testing

In this case,

So, the test statistic is

So, the test statistic, rounded off to two decimal places is 0.82.


Related Solutions

You are testing the claim that the mean GPA of night students is different from the...
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. A sample of 22 night students and 25 day students and their GPA's are recorded below. Test the claim using a 5% level of significance. Assume the population variances are unequal and that GPAs are normally distributed. Give answers to 4 decimal places. GPA-Night GPA-Day 2.99 3.34 3.44 3.13 3.1 3.41 3.33 2.86 3.69 2.8 3.35 3.56 2.93 3.58...
Test the claim that the mean GPA of night students is significantly different than the mean...
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:μN=μD H1:μN≠μD H0:pN=pD H1:pN≠pD H0:μN≤μD H1:μN>μD H0:pN≤pD H1:pN>pD H0:μN≥μD H1:μN<μD H0:pN≥pD H1:pN<pD The test is: two-tailed right-tailed left-tailed The sample consisted of 70 night students, with a sample mean GPA of 3.41 and a standard deviation of 0.03, and 70 day students, with a sample mean GPA of...
Test the claim that the mean GPA of night students is larger than the mean GPA...
Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .025 significance level. The null and alternative hypothesis H0:μN=μD H1:μN>μD The Test is Right Tailed The sample consisted of 30 night students, with a sample mean GPA of 3.23 and a standard deviation of 0.02, and 60 day students, with a sample mean GPA of 3.19 and a standard deviation of 0.06. The test statistic is: The critical value...
Test the claim that the mean GPA of night students is significantly different than 2.5 at...
Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.05 significance level. The null and alternative hypothesis would be: H0:p≥0.625H0:p≥0.625 H1:p<0.625H1:p<0.625 H0:p≤0.625H0:p≤0.625 H1:p>0.625H1:p>0.625 H0:p=0.625H0:p=0.625 H1:p≠0.625H1:p≠0.625 H0:μ≥2.5H0:μ≥2.5 H1:μ<2.5H1:μ<2.5 H0:μ=2.5H0:μ=2.5 H1:μ≠2.5H1:μ≠2.5 H0:μ≤2.5H0:μ≤2.5 H1:μ>2.5H1:μ>2.5 The test is: right-tailed left-tailed two-tailed Based on a sample of 70 people, the sample mean GPA was 2.48 with a standard deviation of 0.08 The test statistic is:  (to 2 decimals) The p-value is:  (to 2 decimals) Based on this we: Reject...
Test the claim that the mean GPA of night students is significantly different than 3.1 at...
Test the claim that the mean GPA of night students is significantly different than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 H0:μ=3.1H0:μ=3.1 H1:μ<3.1H1:μ<3.1 H0:p=0.775H0:p=0.775 H1:p>0.775H1:p>0.775 H0:μ=3.1H0:μ=3.1 H1:μ>3.1H1:μ>3.1 H0:p=0.775H0:p=0.775 H1:p<0.775H1:p<0.775 H0:p=0.775H0:p=0.775 H1:p≠0.775H1:p≠0.775 The test is: two-tailed left-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 3.14 with a standard deviation of 0.05 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 2.7 at...
Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.02 significance level. The null and alternative hypothesis would be: H 0 : μ ≤ 2.7 H 1 : μ > 2.7 H 0 : p ≥ 0.675 H 1 : p < 0.675 H 0 : p ≤ 0.675 H 1 : p > 0.675 H 0 : μ ≥ 2.7 H 1 : μ < 2.7 H 0 : μ =...
1. Test the claim that the mean GPA of night students is significantly different than the...
1. 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:pN≤pDH0:pN≤pD Ha:pN>pDHa:pN>pD H0:pN≥pDH0:pN≥pD Ha:pN<pDHa:pN<pD H0:μN≥μDH0:μN≥μD Ha:μN<μDHa:μN<μD H0:μN≤μDH0:μN≤μD Ha:μN>μDHa:μN>μD H0:μN=μDH0:μN=μD Ha:μN≠μDHa:μN≠μD H0:pN=pDH0:pN=pD Ha:pN≠pDHa:pN≠pD The test is: right-tailed left-tailed two-tailed The sample consisted of 12 night students, with a sample mean GPA of 3.13 and a standard deviation of 0.04, and 10 day students, with a sample mean GPA...
**ASAP** Test the claim that the mean GPA of night students is significantly different than 2.8...
**ASAP** Test the claim that the mean GPA of night students is significantly different than 2.8 at the 0.1 significance level. The null and alternative hypothesis would be: H0:p=0.7H0:p=0.7 H1:p<0.7H1:p<0.7 H0:p=0.7H0:p=0.7 H1:p>0.7H1:p>0.7 H0:μ=2.8H0:μ=2.8 H1:μ>2.8H1:μ>2.8 H0:μ=2.8H0:μ=2.8 H1:μ<2.8H1:μ<2.8 H0:p=0.7H0:p=0.7 H1:p≠0.7H1:p≠0.7 H0:μ=2.8H0:μ=2.8 H1:μ≠2.8H1:μ≠2.8 The test is: left-tailed two-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.85 with a standard deviation of 0.04 The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to...
Test the claim that the mean GPA of night students is larger than 2.6 at 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: - The test is: A. two-tailed B. right-tailed C. left-tailed - Based on a sample of 25 people, the sample mean GPA was 2.62 with a standard deviation of 0.05 The p-value is: - Based on this we: A. Fail to reject the null hypothesis B. Reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 3.3 at the...
Test the claim that the mean GPA of night students is larger than 3.3 at the .05 significance level. The null and alternative hypothesis would be: 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: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 The test is: right-tailed two-tailed left-tailed Based on a sample of 45 people, the sample mean GPA was 3.32 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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT