1,

You are testing the null hypothesis that= 0 versus the alternative> 0 using= .05. Assume=17. Supposex=4.8andn=12. Calculate the test statistic and itsP-value. Repeat assuming the same value ofxbut withn=22. Do the same for sample sizes of32,42, and52. (Round the test statistic to two decimal places. Round theP-value to four decimal places.)

n=12:	z	P-value
n=22:	z	P-value
n=32:	z	P-value
n=42:	z	P-value
n=52:	z	P-value

2,You want to rent an unfurnished one-bedroom apartment in Dallas next year. The mean monthly rent for a random sample of11apartments advertised in the local newspaper is$960. Assume the monthly rents in Dallas follow a Normal distribution with a standard deviation of$270. Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community. (Round your answers to two decimal places.) ($ ,$ )

3,You want to rent an unfurnished one-bedroom apartment in Boston next year. The mean monthly rent for a random sample of12apartments advertised in the local newspaper is$1600. Assume that the standard deviation is$260. Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community. (Round your answers to two decimal places.) ($ ,$ )

4,A test of the null hypothesisH₀:=₀gives test statisticz=1.88. (Round your answers to four decimal places.)

(a) What is theP-value if the alternative is H_a:>₀? (b) What is theP-value if the alternative is H_a:<₀? (c) What is theP-value if the alternative is H_a:₀?

5,A test of the null hypothesisH₀:=₀gives test statisticz=0.55.(Round your answers to four decimal places.)

(a) What is theP-value if the alternative is H_a:>₀? (b) What is theP-value if the alternative is H_a:<₀? (c) What is theP-value if the alternative is H_a:₀?

6,

A study of the pay of corporate chief executive officers (CEOs) examined the increase in cash compensation of the CEOs of105companies, adjusted for inflation, in a recent year. The mean increase in real compensation wasx=6.9%, and the standard deviation of the increases wass=46%. Is this good evidence that the mean real compensationof all CEOs increased that year?

Ho:	= 0	(no increase)
Ha:	> 0	(an increase)

Because the sample size is large, the samplesis close to the population, so take=46%.(a) Sketch the normal curve for the sampling distribution ofxwhenH_ois true. Shade the area that represents theP-value for the observed outcomex=6.9%. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Calculate theP-value. (Round your answer to four decimal places.)