What form should H0 and H1 take if the investigator is concerned only about salary discrimination against female members?

Complete the following exercises
Show all relevant work; use the equation editor in Microsoft Word when necessary.
CHAPTER 9.13
Given a sample size of 36, how large does the population standard deviation have to be in order for the standard error to be
a-1 ?
b-2 ?
c-5 ?
D-100 ?
CHAPTER 10.10
Let’s assume that, over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshmen. We wish to determine whether the scores of a random sample of 20 new freshmen, with a mean of 30 and a standard deviation of 10, can be viewed as coming from this population. Test at the .05 level of significance.
CHAPTER 11.13
11.13
According to the American Psychological Association, members with a doctorate and a full-time teaching appointment earn, on the average, $82,500 per year, with a standard deviation of $6,000. An investigator wishes to determine whether $82,500 is also the mean salary for all female members with a doctorate and a full-time teaching appointment. Salaries are obtained for a random sample of 100 women from this population, and the mean salary equals $80,100.
A- What form should H0 and H1 take if the investigator is concerned only about salary discrimination against female members?
B- If this hypothesis test supports the conclusion of salary discrimination against female members, a costly class-action suit will be initiated against American colleges and universities. Under these circumstances, do you recommend using the .05 or the .01 level of significance? Why?
CHAPTER 11.19
How should a projected hypothesis test be modified if you’re particularly concerned about the type I error? the type II error?
CHAPTER 12.8
It’s tempting to claim that, once a particular 95 percent confidence interval has been constructed, it includes the unknown population characteristic with a probability of .95. What is wrong with this claim?

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