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Practice question 3 A random sample of 40 men was selected and the weights of the...

Practice question 3

A random sample of 40 men was selected and the weights of the men were measured. Below are the weights rounded to the nearest kilogram:

74 87 80 71 77 67 80 83 78 84 75 79 73 79 81 77 89 68 74 93

86 65 82 87 78 92 76 78 73 81 75 73 85 77 73 76 80 83 78 69

M N=40

Variable           Mean               Std.dev.  

Weight            78.40000         6.456164

  1. Determine the 95% confidence interval for the mean adult male weight,

assuming that the variance of weight has been measured in previous studies at 6.3245552 kg2

  1. Determine the 95% confidence interval for the mean adult male weight using the estimated variance s2= 6.4562 based on the sample.
  2. What is the probability that the combined weight of the eight randomly selected men will exceed the weight limit of an elevator of 640 kg, assuming an average weight of 78.4 kg and a weight variance of 6.3245552 kg2.

Please give a detailed answer <3

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