Question

Page Three: ANSWER ALL QUESTIONS 4. The Torouto Raptors (a professional basketball team) scored the following numbers of points in a random sample of eight games from the current season (data provided by Google): 101, 125, 104,95, 107, 119, 118,98 Let X denote the population of points scored per game by the Raptors. Generate a 98% confidence interval for the population mean points per game scored by the Raptors. Keep Sour decimal places as you work (socnetimes R doesa't give you four, so just leep as many you can when that happens) to 1, 구 ;at (1-0-1, 구)-1,414 924 08.5- (141442411,10184) 102.9423 스 ㅆェ히 14,ost MATH 381 Quest 4, Page 3

Answer 1

	101
	125
	104
	95
	107
	119
	118
	98
mean	108.375
standard deviation(Sd)	10.97968904

confidence interval = mean $\pm$ t* SE

MEAN = 108..375

t = 2.99795 at 98 % confidence level for two tail test (7 df)

SE = standard error of mean = sd/ square root of sample size

= 10.97968904/ square root of 8

= 3.8819

so, 108.375 $\pm$ 2.99795 * 3.8819

= 108.375 $\pm$ 11.637742

96.737258 to 120.012742 is confidence interval

or 96.737258 $\leq$ populationmean $\leq$ 120.012742