I The mean work week for engineers in start-up companies is claimed to be about 65 hours with a standarddeviation of 6 hours. Kara, a newly hired engineer hopes that it's not (she wants it to be shorter), anddecides to test this. She asks 10 engineers in start-ups for the lengths of their mean work weeks. Theirresponses are 70; 45; 55; 60; 65; 55; 55; 60; 50; 55. She will test at 10% significance level. Assume that themean work week for engineers in start-up companies is normally distributed.NOTE: If you don't have a handheld statistical calculator, you may use an online calculator such the one athttps://www.statskingdom.com/standard-deviation-calculator.html. Remember that you're entering*sample* data, so be sure to read off the correct results from the output.a. Is the newly hired engineer testing a mean or a proportion?meanproportionb. The null hypothesis (or company claim), in symbols, is u:c. If the claim that 65 hours is the true mean work week for engineers in start-up companies is correct,what is the probability that a sample mean would be as low as Kara's mean or lower?Give your answer as a decimal accurate to three decimal places.d. If Kara assumes that 65 hours is the true mean work week for engineers in start-up companies, based onthe 10% significance level, do her data provide strong enough evidence to support that the mean workweek is actually shorter than 65 hours?noyes

Name: I The mean work week for engineers in start-up companies is claimed to
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: I The mean work week for engineers in start-up companies is claimed to be about 65 hours with a standarddeviation of 6 hours. Kara, a newly hired engineer hopes that it's not (she wants it to be shorter), anddecides to test this. She asks 10 engineer