Name (21 Pts) An independent golf equipment testing facility compared the differ

Question

Name (21 Pts) An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a regular 2-3/4 inch wooden tee to those hit off a 3 inch Stinger Competition golf tee. A Callaway Great Big Bertha driver with 10 degrees of loft was used for the test and a robot swung the club head at approximately 95 miles per hour. A random sample of 30 hits was obtained for each tee type and the ball velocity (mph) was recorded. At a 5% significance level, do the data provide sufficient evidence to claim, that, on average, ball velocity is less with the regular tee than with the Stinger tee. NOTE: NO COMPUTATIONS ARE REQUIRED. 8. This problem is about (circle the correct one): One population mean Two population means, independent samples Two population means, paired samples One population standard deviation i. i. State the null and alternate hypotheses. ii. What is the level of significance? List the assumptions and show the numbers or information given to meet each assumption. The P-value for normality test is 0.4001 for regular tee and 0.5087 for Stinger tee. iv. Circle which of the following Statcrunch methods you would use to test the hypothesis stated in part (b) Z Stats-One sample TStats-One sample T Stats - Two samples TStats-Paired Sample Variance tests - One sample None of these since not all assumptions are met V. vi. If the P-value is

Explanation / Answer

SolUTIONi

comapring regular tee and stinger tee

both are independent samples.

check for means

TWO POPULATION MEANS,INDPENDENT SAMPLES

Solutionii:

Null hypothesis:

Ho:regular =stinger

Alternative Hypothesis:

Ha:regular < stinger

left tail t test

Solutioniii:

level of significance=5%=0.05

Solutioniv:

sample size =n<30

small sample

p value for regualr tee=0.4001

p>0.05

Fail to reject nUll hypothesis

Accept Null hypothesis

Regular tee sample data comes from normal distribution

For stinger Tee

p=0.5087

p>0.05

Fail to reject Null hypothesis

Accept Null hypothesis

Stinger tee data comes from normal distribution

NORMALITY ASSUMPTION IS SATISFIED .WE CAN CONDUCT THE T TEST FOR DIFFERENCE IN MEANS

REST OF THE QUESTIONS POST SEPERATELY..WE ARE ASKED TO ANSWER 4 BITS IN ONE QUESTION

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