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1- in a test of H: = 8 versus Ha:\"isnt equal\" 8 , a sample size of 200 leads t

ID: 2957819 • Letter: 1

Question

1- in a test of H: = 8 versus Ha:"isnt equal" 8 , a sample size of 200 leads to p-value of 0.034 , which one of the following must be true?

A) the null hypothesis should not be rejected at the 5% level.

B)the sample size is insufficient to draw a conclusion with 95% confidence.

C) a 95% confidence interval for calculated from these data will not include =8.

d) at the 5% level if H is rejected , the probablilty of a type II error is 0.034

e) a 95% confidence interval for calculated from these data will be centered at = 8.

2-during any season , all home teams in the same conference , win 50% or more of regular season college baseball games, identify the success/failure condition error in this context .

a) the conference concludes that wins are on the rise since the number of wins can only increase

b) the conference shows there is no change in wins but in fact home teams wins are on the rise.

c) the conference sampled only a dozen home games

d) the profuct of the conference sample size and sample proporion was less than 10.

e)the conference concludes that wins are on the rise bu in fact there is no change in home team winning.

3- a dentist that is developing detection devices to search for tooth decay has concluded that his new device is significally better than taking x-rays . he made the decision using = 0.05. would he have made the same decision at =.10 and =.01?

4) estimate the indicated p-value for t< or = 1.76 with 24 degrees of freedom.

5) average gas price in your city exceeds $2.15 per gallon , you take a random sample from 8 gas stations and record the following prices "2.13, 2.10 , 1.80 , 2.09 , 2.17 , 2.12 , 2.10 , 2.11" have the condition been met?

a) no the sample is not representitve

b) yes all conditions and assumptions have been met.

c) no the sample is more than 10% of the population

d) no the sample is not random

e) no the nearly normal condition is not met.

Explanation / Answer

1) e) a 95% confidence interval for µ calculated from these data will be centered at µ = 8. 2) b) the conference shows there is no change in wins but in fact home teams wins are on the rise. 3) depend upon the p-value we can draw the conclusion. 4) estimate the indicated p-value for t