In bowling, there are two categories of oil patterns that areplaced on the lane that make the
Question:
In bowling, there are two categories of oil patterns that areplaced on the lane that make the game easier or harder. House shotstend to create easier conditions where scores are higher whilesport shots create harder conditions where scores are lower. Overthe course of one bowling season, an amateur bowler carried anaverage of 203 in a league with a house shot with a populationstandard deviation of 25. He decides to join a league that uses asport shot on the lanes instead. After 7 weeks of bowling on asport shot, he has 21 observations, which are contained in theMinitab dataset.
a) Report a point estimate for the bowler’s average in the sportshot league.
b) Report a point estimate for the bowler’s average in the sportshot league. b) Verify that the conditions for calculating aconfidence interval for sport shot league bowling average hold.Copy and paste any graphs or outputs used to aid in your decisiononto your answer sheet.
c) Use Minitab to calculate a 95% confidence intervalfor the bowler’s average on a sport shot pattern. Assume he has thesame population standard deviation in the sport shot league as inthe house shot league. Copy and paste the output onto your answersheet.
d) Interpret the interval in part (c) in the context of theproblem.
e) (2 pts) Is there evidence suggesting that the bowler isperforming significantly better or worse on the sport shot comparedto the house shot using the interval in part (c)? Briefly explainwhy or why not.
For parts (f), (g), and (h), determine if the resulting intervalwould be wider, narrower, or the same width as the intervalcalculated in part (c) without performing the calculation.
f) A 99% confidence interval using the same mean, standarddeviation, and sample size
g) A 95% confidence interval with a population standarddeviation of 20 using the same mean
and sample size
h) A 95% confidence interval with a sample size of 36 using thesame mean and standard
deviation
Here is the data:
180
177
192
217
174
224
175
181
155
182
204
217
191
199
207
205
143
156
161
167
157