Question

6.) A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is S3. A simple random sample of 64 students is taken. What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?4:10.S ,315 What is the probability that these 64 students will spend a combined total of more than $715.21? What is the probability that these 64 students will spend a combined total between $703.59 and a. b. C. $728.45? a) lo.r

Do i use the formula for finite or infinite? It gives me a population size so i was thinking finite, but everyone seems to going with the infinite formula to find the Standard deviation?

Answer 1

Given hat mean(tu standard devialioo Sample size (n) 64 the expected value and standard devichoo of the ple meCO ave 0-375 3 sample mean is apploximately oormal b) IX- 315-21 6 4 三11-1752 we want to od, P715 2) 2P(82 11-1752) = p/x-u-> 11-1752-lo-50 o.375 ะเ-0.9641 IPCろ>11-1752): ●0.359 う Probability = o-0359 2ス= 703.5g-lo-ga 3 6 & X2-728-45-113820 うP(10.9936 11.38 201-P/10-99.36-10-5% r 1-3820-0.50 64 64 O.335 -PG 1:32くてく2.35) PCてく2-35) _p(てく1:32) 0-9906 0-9066 0.0840