Assign 8 2 PLEASE SHOW ALL WORK The Survey of Study Habits a

Assign. 8 #2 PLEASE SHOW ALL WORK.

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students\' study habits and attitude toward school. Scores range from 0 to 200. The mean score for college students is about 115, and the standard deviation is about 30. A teacher suspects that the mean mu for older students is higher than 115. She gives the SSHA to an SRS of 25 students who are at least 30 years old. Suppose we know that scores in the population of older students are Normally distributed with standard deviation sigma = 30. State the null and alternative hypotheses for the study of older students\' attitudes described above. (Is the alternative hypothesis one-sided or two-sided?)

Solution

From the sentence

\"A teacher suspects that the mean u for older students is higher than 115.\"

Hence, that is the claim, which goes to the alternative hypothesis.

The null hypothesis bears the equal sign.

[If in your class, you use the opposite sign of the alternative hypothesis for the null hypothesis, please see the alternative answer.]

Thus,

Ho: u = 115
Ha: u > 115 [ANSWER, OPTION E]

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[Alternative answer:

Ho: u < 115
Ha: u > 115]