Question

Suppose that the manager of the MileagePlus frequent flier program is promoted and consequently another individual is hired to replace him/her/xhe. Also, suppose that United publishes in the interval documentation that the average number of Premier Qualifying Miles (PQM) earned by individuals who travel for work at least once a month is 55,000 with a standard deviation of 5,000 miles. Further, suppose that the new manager desires to test the claims that the United has made to see if the statistics have changed.

d. What is the probability that a sample of 50 such United customers provides a sample mean within +/- 500 miles.?

e. Suppose that the new manager's sample has a sample average of 57,000 miles. Compute the 95% confidence interval for the population mean.

f. Based on the confidence interval you computed in part (e), does this sample provide evidence for or against United's claim that the average number of Premier Qualifying Miles(PQM) earned is 55,000?

g. if the new manager wants to determine a specific p-value for the likelihood that the null hypothesis is true based on the sample collected in part(c), should he/she/xhe use Z- or t- scores for the test statistic?

Answer 1

Solution given That's (d) what is the probability That a sample of 50 such provides a sample mean with in a 500milan United customers Anys 0.511 50429291698. (e) sample of average 57.500 miles 57,500.00 nean 5000.00 std den 707.11 Std. e Troy 50 49 df 56,079.02 58.120.98 1,420.98 confidence interval 95% lower confidence interval asx uppes margin of enso f) against 9) t-Scores Scanned with CamScanner