A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score,

, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is82

and that the standard deviation is10

, but the psychologist believes that the value for the mean has increased. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be90

.

Based on this information, answer the questions below.

What are the null hypothesis (H

0

) and the alternative hypothesis (H

1

) that should be used for the test?

H

0

:

is?less thanless than or equal togreater thangreater than or equal tonot equal toequal to?108290

H

1

:

is?less thanless than or equal togreater thangreater than or equal tonot equal toequal to?108290

In the context of this test, what is a Type I error?

A Type I error is?rejectingfailing to rejectthe hypothesis that

is?less thanless than or equal togreater thangreater than or equal tonot equal toequal to?108290when, in fact,

is?less thanless than or equal togreater thangreater than or equal tonot equal toequal to?108290.

Suppose that the psychologist decides to reject the null hypothesis. What sort of error might she be making??Type IType II