Reference no: EM132857692

1. Suppose we select a simple random sample of size n = 325 from a large population with a proportion p of successes. Let p^ be the proportion of successes in the sample. For which value of p is it appropriate to use the Normal approximation for the sampling distribution of p^?

0.01

0.02

0.05

0.98

0.99

2.The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are true?

I. The distribution of the sample mean is approximately Normal.
II. The standard deviation is equal to that of the population.
III. The distribution of the population is exactly Normal.
IV. The distribution is biased.

I and II

I only

II and III

I, III, and IV

II only

3. The speed of a car, measured in miles per hour, was determined 10 times at random. The results are 22, 43, 35, 32, 41, 28, 29, 30, 37, and 43 miles per hour. Construct a 95% confidence interval for the mean speed of this vehicle.

(28.9642, 39.0358)

(29.2226, 38.7774)

(28.9642, 38.7774)

(29.2226, 39.0358)

(29.9193, 38.0807)