Question

In: Statistics and Probability

Multiple choice 1. Suppose Ho: yogurt containers average 8 ounces and Ha: yogurt containers average >8...

Multiple choice

1. Suppose Ho: yogurt containers average 8 ounces and Ha: yogurt containers average >8 ounces. you made a type 2 error. What is the impact of this? A.not enough information to tell.B.yogurt company is told they are overfilling containers but they really were not. C.yogurt company is overfilling containers but you didn't catch it.

2. Suppose Ho: average bank deposit = $100 and Ha: average bank deposit not equal to $100. Your results tell you there's not enough evidence to reject Ho. What type of error could you be making? A. Type 1 error B. You could be making both Type 1 and Type 2 errors C. Not enough information to tell D. Type 2 error

3. Suppose you are doing a hypothesis test and your p-value is .12. What do you conclude? A. reject Ho B. two choices are correct here C. accept Ho O D. fail to reject Ho

4. Which of the following is true? A. p-values stay the same with new samples and so do significance levels O B. p-values change with new samples but significance levels stay the same C. p-values change with new samples and so do significance levels O D. p-values stay the same with new samples but significance levels change

5. Suppose we used StatCrunch to find the exact test statistic for a two-tailed (not equal to) hypothesis test for the mean, and it turned out to be 1.33. The population standard deviation is known. What is the p-value? A. 0.4082 B. None of the other choices is correct C. 0.0918 D. 0.1836

Solutions

Expert Solution

1. Suppose Ho: yogurt containers average 8 ounces and Ha: yogurt containers average >8 ounces. you made a type 2 error. What is the impact of this?

Type 2 error is fail to reject the false null hypothesis.

C.yogurt company is overfilling containers but you didn't catch it.

2. Suppose Ho: average bank deposit = $100 and Ha: average bank deposit not equal to $100. Your results tell you there's not enough evidence to reject Ho. What type of error could you be making?

Since you fail to reject the null hypothesis, you may commit type 2 error, in case the null hypothesis is false.

D. Type 2 error

3. Suppose you are doing a hypothesis test and your p-value is .12.

Since p-value is greater than 0.05 significance level, we fail to reject Ho

D. fail to reject Ho

4. Which of the following is true?

We keep significance levels same for a given hypothesis test.

B. p-values change with new samples but significance levels stay the same

5. Suppose we used StatCrunch to find the exact test statistic for a two-tailed (not equal to) hypothesis test for the mean, and it turned out to be 1.33. The population standard deviation is known. What is the p-value?

Since the population standard deviation is known, we will use one sample z test.

For two-tailed test, p-value = 2 * P(z > 1.33) = 0.1836

D. 0.1836


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