Question

The mean work week for engineers in start-up companies is claimed to be about 58 hours with a standard deviation of 8 hours. Kara, a newly hired engineer hopes that it's not (she wants it to be shorter). She asks 10 engineers in start-ups for the lengths of their mean work weeks. Their responses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. a. Is the newly hired engineer testing a mean or a proportio... O proportion O mean b. The null hypothesis (or company claim), in symbols, is u c. If the claim is correct, what is the probability that a sample mean would be as low as Kara's mean? Give your answer as a percentage accurate to one decimal place. d. If Kara will accept the 58 hours as the real average so long as there's at least a 10% chance the sample average value could be as low as hers, should she accept the claim? Ono O yes

Answer 1

Gaven, n=10, X= 57 and 5=8 The u newly uured engineer testing is mean. Answer: mean (6 The will as? hypothesis Hoi pe=58 © The allanalme lappallon ass Hi Re<58 z = ~ N(0,1) Test statistic: x-fe olu 57-58 under Ho alto Z=-0.3953 z =

Thou pvalue - R 22-09953) -0.346 Hence the probability that sample meem would be as low as fazabluean کی) 34.6% x=0/0 © Geren diesel of spooperates Here P-value> Answer, no