Q4 The overall distance traveled by a golf ball is tested by hitting the ball with iron. Eight randomly selected balls of two different brands are tested and the overall distance measured. The data are as follow: Brand-1 275 286 287 271 283 279 263 267 P Brand-2 258 244 260 265 275/ 270, 263, 268 Assuming the population variance of both brands are equal, (i) Compute the sample mean and sample variance of each brand. (ii) Test the hypothesis that both brands of ball have equal mean overall distance at 5% level of significance. (iii) Construct a 95% confidence interval on the mean difference in overall distance for the two brands of golf balls. [2 IX IX

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Chapter1: Combinatorial Analysis
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(iii) Construct the 90% confidence interval
tubes.
Q4 The overall distance traveled by a golf ball is tested by hitting the ball
with iron. Eight randomly selected balls of two different brands are tested
and the overall distance measured. The data are as follow:
271 283 279 263
265 275 270 263,
286 287
275
Brand-1
260 Pl
Brand-2 258 244
r
Assuming the population variance of both brands are equal,
267
268
[25
IX IX
치
(i) Compute the sample mean and sample variance of each
S
brand.
(ii) Test the hypothesis that both brands of ball have equal mean
overall distance at 5% level of significance.
(iii) Construct a 95% confidence interval on the mean difference in
overall distance for the two brands of golf balls.
Transcribed Image Text:(iii) Construct the 90% confidence interval tubes. Q4 The overall distance traveled by a golf ball is tested by hitting the ball with iron. Eight randomly selected balls of two different brands are tested and the overall distance measured. The data are as follow: 271 283 279 263 265 275 270 263, 286 287 275 Brand-1 260 Pl Brand-2 258 244 r Assuming the population variance of both brands are equal, 267 268 [25 IX IX 치 (i) Compute the sample mean and sample variance of each S brand. (ii) Test the hypothesis that both brands of ball have equal mean overall distance at 5% level of significance. (iii) Construct a 95% confidence interval on the mean difference in overall distance for the two brands of golf balls.
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