26. The critical value(Z/2 ) for a 95% confidence interval is A) 1.64 B) 1.79 1.

Question

26. The critical value(Z/2 ) for a 95% confidence interval is A) 1.64 B) 1.79 1.96 2.58 27. The central limit theorem says that a sampling distribution of sample means will be approximately normal regardless of the distribution of the population data as long as the sample size is A) greater than 10 B) less than 30 C) greater than 30 D) greater than 20 96 of Normally distributed data falls within 1 standard 28. The Empirical Rule states that deviation of the mean. A) 25% B) 5096 C) 9596 D) 68% 29. All data is Normally distributed. A) True B) False 30, A 95% confidence interval will contain the true parameter 95% of the time if the same procedure is repeated many many times to create intervals. A) True B) False Free Response: Show all work for partial/full credit(8pts each) 31. The initial pressure for bicycle tires when first filled is normally distributed, with a mean o pounds per square inch (psi) and a standard deviation of 1.2 psi. Find the probability that the initial pressure of a bicycle tire is between 68 and 72 psi. Sketch a normal curve to model this.

Explanation / Answer

26) C - 1.96

27) C - greater than 30

We can apply central limit theorem to any data set if the size of data is greater than 30

28) D - 68%

1 sigma level from mean contains 68% of population

29) B - false

30) A - true

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