Statistics and Probability Reviewer

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• Fail to reject the null hypothesis

• Fail to reject the alternative hypothesis

• Reject the null hypothesis

• Reject the alternative hypothesis

Last year, a pineapple company in Davao grew pineapples that weighed an average of 876 grams. The company installed a new irrigation system hoping that this year’s crop of pineapples would be larger than 876 grams. What is the appropriate alternative hypotheses.

• H_A: µ < 876 grams

• H_A: µ = 876 grams    

• H_A: µ > 876 grams

Which of the following represents the appropriate alternative hypotheses?
The mean height of women is greater than 64"

• H_A: p > 64"

• H_A: μ > 64"

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

• H₀ : μ = 17

  H_A : μ ≠ 17

• H₀ : μ = 19

  H_A : μ ≠ 17

• H₀ : μ = 19

  H_A : μ ≠ 19

• H₀ : μ = 17

  H_A : μ ≠ 19

Which of the following statements is true:

        I. A Type I error occurs when the null hypothesis is correct, but we rejected the null.

        II. A Type II error occurs when the null hypothesis is correct, but we rejected the null.

• I only

• II only

• both I and II

• none

When writing the null hypothesis, which number should you set equal to?

• The reported/claimed mean.

• The sample size.

• The sample mean.

• The standard deviation.

If the p-value is greater than 5% you should....

• Reject the null.

• Fail to reject the null.

A principal at his school is worried that his students are below average intelligence. A random sample of 30 students' IQ scores has a mean of 96. Given that IQ scores are normally distributed with a mean of 100 and standard deviation of 15, he wonders if there is sufficient evidence to support his claim. What is the alternative hypothesis?

• µ < 96

• µ = 100

• µ < 100

P-hat can be found by:

• x-bar

• x/n        

• z*

• n > 30

. The null hypothesis ALWAYS contains a(n)

• >

• =

• <