A tennis enthusiast wants to estimate the mean length of men's singles matches held during the Wimbledon tennis tourname

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A tennis enthusiast wants to estimate the mean length of men's singles matches held during the Wimbledon tennis tourname

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A Tennis Enthusiast Wants To Estimate The Mean Length Of Men S Singles Matches Held During The Wimbledon Tennis Tourname 1
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A tennis enthusiast wants to estimate the mean length of men's singles matches held during the Wimbledon tennis tournament. From the Wimbledon history archives, he randomly selects 32 matches played during the tournament since the year 1968 (when professional players were first allowed to participate). The lengths of the 32 selected matches, in minutes, follow:
110 76 101 119 198 153 182 132 84 231 122 115 87 137 138 132 136 111 194 92 256 146 149 103 116 163 123 178 140 151 115 107
(a) Obtain a point estimate of the population mean length of men's singles matches during Wimbledon. (b) Explain why a large sample is necessary to construct a confidence interval for the population mean length of men's singles matches during Wimbledon.
(c) Construct and interpret a 99% confidence interval for the population mean length of men's singles matches during Wimbledon. (d) Construct and interpret a 95% confidence interval for the population mean length of men's singles matches during Wimbledon. (e) What effect does increasing the level of confidence have on the interval? (f) Do the confidence intervals computed in parts (c) and (d) represent an estimate for the population mean length of men's singles matches during all professional tennis tournaments? Why?
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