Q13.The production manager at a textile mill, believes that a new machine, producing cloth, is not workingaccording to the company's specifications.The company requires that the cloth should have a mean breaking strength of 6 Kg.A sample of 40 pieces of cloth reveals a sample mean breaking strength of 10.4 Kg and a standard deviation of 0.1 Kg. The manager wants to do a hypothesis test of the mean.What value of the mean would be used in the null and alternative hypotheses?

Q14.Production managers, on an assembly line, must monitor the output to check that they are manufacturing more than an average of 100 parts per production run. They continuously inspect a random sample of production runs and find the average number of parts manufactured.The hypotheses are:

Ho: = 100

Ha: > 100

Say a random sample of 36 production runs is taken, where the mean number of parts manufactured is found to be 108 parts with a standard deviation of 5 parts.If testing at the 10% level of significance, what is the critical value?Please give your answer correctly rounded to two decimal place.

Q15.The following is information from a simple linear regression to estimate the energy content (calories) of a muesli bar, based on the protein content (grams)

ENERGY CONTENT= 79.86+0.59 Sugar

r = 0.88

n = 62

What is the value of the coefficient of determination?Please give your answer correctly rounded to two decimal places and do NOT create a percentage.

Q17.A marketing analyst for a chocolatier claims that 69% of individuals purchase milk chocolate. If a random sample of 73 consumers is selected, what is the Z score if 43% of those sampled purchased milk chocolate?Assume the conditions are satisfied.Give your answer correctly rounded to two decimal places.