If we want to compute an 84% confidence interval for a population mean, then the

Question

If we want to compute an 84% confidence interval for a population mean, then the value of z (rounded to three decimal places) will be (a) 0.994 (b) 1.405 (c) 0.987 (d) None of the above A taste test is given to 40 randomly chosen subjects. Each subject tastes three colas, Cola 1, Cola 2, and Cola 3, and then chooses which one they prefer. Let X be the number of subjects that choose Cola 1 as their preferred cola. Assuming the subjects are choosing their preferred cola randomly (i.e., there is no preference for one cola over the other), then X has a binomial distribution with parameters n = _____ and p = _____. (a) 40, 0.333 (b) 3, 0.333 (c) 15, 0.500 (d) None of the above

Explanation / Answer

Question 9:

For 84% confidence interval the critical z value would be Z* such that:

P ( Z < Z* ) = 1 - (1-0.84)/2 = 1- 0.08= 0.92

Therefore we need to find Z* such that:

P ( Z < Z* ) = 0.92

From the standard normal tables we get:

P ( Z < 1.405 ) = 0.92

Therefore b) 1.405 is the correct answer here.

Question 10:

As there are total 40 people subjects, therefore n = 40 and now p is the probability of choosing the cola 1. As they are choosing randomly from the given 3 colas, therefore probability of choosing cola 1 would be 1/3 = 0.3333

Therefore a) is the correct answer here.

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