1) Two independent samples have been selected, 84 observations from population 1 and 85 observations from population 2. The sample means have been calculated to be x1=6.5 and x2=5. From previous experience with these populations, it is known that the variances are 2/1=34 and 2/2=21

For the hypothesis test of H0:(12)=2.3 and Ha:(12)2.3 Use =0.04. (a) Compute the test statistic. z=________________

(b) Find the approximate p-value pvalue=_________________

The final conclustion is

multiply choice A. We can reject the null hypothesis that (12)=2.3 and accept that (12)2.3. B. There is not sufficient evidence to reject the null hypothesis that (12)=2.3.

2)Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 255 yards on average. Based off of collected information, the standard deviation of all driving distences is 41.6 yards. A random sample of 173 golfers had a mean driving distance of 260.1870 yards.

Conduct a hypothesis test where H0:255 and H1:>255 by computing the following: (a) test statistic ______________ (b) p-value p= ____________ (c) If this was a two-tailed test, then the p-value is _________

3) Suppose that we are to conduct the following hypothesis test:

H0: 33

H1: < 33

Suppose is known, and sampling lead to a test statistic of zc=2.14

The p-value is _____________________

For =0.005, what would be the decision for the hypothesis test? A. There is enough evidence to support the claim that 33 B. There is not enough evidence to support the claim that <33 C. There is not enough evidence to support the claim that 33 D. There is enough evidence to support the claim that <33

4)Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals 0.05? A. 0.055 B. 0.15 C. 0.10 D. 0.025

Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following values do we also reject the null hypothesis? A. 0.06 B. 0.04 C. 0.02 D. 0.03

5)Select the correct null hypothesis, H0, and alternative hypothesis, Ha, in symbolic form.

A chain of stores specializing in camping gear is considering a promotion that involves mailing out discount coupons. To test this promotion, the chain will first mail discount coupons to residents in a certain area and study the proportion of coupoons that will actually be used. The chain wants to know if the proportion is less than 15% A. H0:p0.15, Ha:p>0.15 B. H0:p0.15, Ha:p<0.15 C. H0:15, Ha:>15 D. H0:p=0.15, Ha:p0.15 E. H0:0.15, Ha:>0.15 F. H0:p>0.15, Ha:p0.15