In Chapter 16 of the textbook we presented a case study that is associated with an attempt to develop a measure of physical ability. The data of this case study is saved in a file by the name "job.csv". Consider the following R code

The null hypothesis that states that the expectation of the variable "arm" is equal to 75 is:

Select one:

a.Not rejected with a significance level of 5%.

b.Rejected with a significance level of 5%, but not with a significance level of 1%.

c.Rejected with a significance level of 1%, but not with a significance level of 0.1%.

d.Rejected with a significance level of 0.1%

The probability of a defective unit in a manufacturing process has a binomial distribution with p = 0.03What is the probability of2 or more occurences in a sample of 15 units?

(Hint: Probability of 2 or more is1 minus probability of 1 or less.)

A coffee shop owner offers two brands of coffee, Brand "A" and Brand "B". The proportion of clients that prefer Brand "A" is 60%.

Recently, the price of Brand "A" went up. The proportion of clients that buy brand "A" among the first 15 customers that enter the shop after the change in price is an estimator of the current proportion of clients that prefer Brand "A".

Assume that the change in price has no effect on the preference of the clients. Then the mean squared error (MSE) of the estimator is equal to: (Give an answer of the form x.xxx, i.e. with 3 significance digits)

(HINT: Carefully read the definition of MSE in Chapter 10 of the text book.)

Consider data regarding a response y and an explanatory variable x, both numeric:

12.80.722.61.336.8-1.143.00.254.71.165.0-0.175.00.982.91.097.0-0.2103.70.8

Dataxy12.80.722.61.336.8-1.143.00.254.71.165.00.975.0-0.182.91.097.0-0.2103.70.8

The null hypothesis that the expected value of the response is constant for all values of the explanatory variable is:

Select one:

a.Not rejected with a significance level of 5%.

b.Rejected with a significance level of 5%, but not with a significance level of 1%.

c.Rejected with a significance level of 1%, but not with a significance level of 0.1%.

d.Rejected with a significance level of 0.1%