A study was done on proctored and nonproctored tests. The results are shown in t

Question

A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. a. Test the claim that students taking proctored tests get a higher mean score than those taking proctored tests. What are the null and alternative hypotheses? O B. Ho: H1 H2 O A. Ho: H "H2 H1: u O C. Ho: 1 -H2 O D. Ho: H1 H2 H1: u Proctored Non proctored H1 H2 7717 86.76 11.88 21.31

Explanation / Answer

Sol:

t test for diff in means:

Null hypothesis:

Ho:mean1=mean2

Alternative hypothesis:

H1:mean1<mean2

answerC

t=77.17-86.76/sqrt[11.882/32+21.812 /35]

t=-2.26

The P-value is the area of the t distribution with n1 + n2 2 degrees of freedom,

p for(65)

The P-Value is .014

The result is significant at p < .05.

REJECT NULL HYPOTHESIS.THERE IS SUFFICIENT EVIDENCE TO SUPPORT THECLAIM

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