Solve the problem. 32) The ages of the members of a gym have a mean of 48 years

Question

Solve the problem. 32) The ages of the members of a gym have a mean of 48 years and a standard deviation of 11 years 32) What can you conclude from Chebyshev's theorem about the percentage of gym members aged between 19.4 and 76.6 A) The percentage is at least 61.5% C) The percentage is at least 852% B) The percentage is at most 852% The percentage is approximately 615% Solve the problem. Round results to the nearest hundredth. 33) A department store, on average, has daily sales of $29,876.76 The standard deviation of sales is $ 33) 1000. On Tuesday, the store sold $34,893.71 worth of goods. Find Tuesday's z score. Was Tuesday an unusually good day? A) 4.01, no C) 5.27, no D) 5.02, yes Find the indicated measure. 34) The test scores of 32 students are listed below. Find P46 34) C 32374144 485355 56 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 80 82 83 86 89 92 95 99

Explanation / Answer

solution:-
32) option B) The percentage is at most 85.2%
Explanation:-
Chebyshevis theorem : 1 - 1/k²

here, the mean is 48 yrs.

Z = (48 - 19.4)/11 = 28.6/11 = 2.6

Z = (76.6 - 48)/ 11 = 28.6/11 = 2.6

Z = K = 2.6

so the % of gym members aged between 19.4 and 76.6 is: 1 - 1 / (2.6)² = 0.852 = 85.2 %

33) option D) 5.02 Yes

= > (34,893.71 – 29,876.76) ÷ 1000 = 5.01695

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