Chapter 8 In Class Match Up +2

Joe and Arya are going to construct confidence intervals from the same simple random sample. Joe's confidence interval will have a level of 90%, and Arya's will have a level of 99%.

Which confidence interval will have the larger margin of error? Or will they both be the same? ​ (a)  

Which confidence interval is more likely to cover the population mean? Or are they both equally likely to do so? ​ (b)  

• Arya's
• Joe's
• They will be about the same
• They are both equally likely to do so

The margin of error is the product of the standard error and the

• critical value

• sample size
• hypothesis
• p-value

A firm sent out a random sample of 1000 shipments in a new type of heavy-duty packaging. Eight of them were damaged upon arrival at their destinations. Is it appropriate to use the methods of this section to construct a confidence interval for the proportion of shipments in heavy-duty packaging that are damaged upon arrival? If not, explain why not.

• No, because the sample size is too small to make any conclusions.
• Yes
• No, because the type of packaging is not specified.
• No, because the central limit theorem is not satisfied.

Rejecting H0 when it is true is called a Type I error, and failing to reject H0 when it is false is called a Type II error.

• True

• False

• does not contain
• will
• contains
• will not

The purpose of a hypothesis test is to weigh the evidence provided by the sample against the null hypothesis. So, from this point on, we will assume that H0 is true and see if there is enough evidence to reject it.

• True

• False

State the null hypothesis H0 and the alternative hypothesis H1.

Select all that apply

• H₀: μ = 75

• H₀: μ < 75

• H₁: μ < 75

• H₁: μ = 75

• H₀: μ > 75

Here, the population standard deviation σ is unknown and the population is approximately normal. Therefore, we use a z-test statistic.

• True

• False

Find the p-value

• 0.154

• 0.75

• 0.052

• 0.147

Since the ​ (a)   (0.154) is greater than ​ (b)   =0.05, the decision is to ​ (c)   the null hypothesis.

That is, we came to the conclusion that there ​ (d)   enough evidence, at the 0.05 level of significance, to reject the hypothesis that μ is equal to 75. Therefore, we ​ (e)   conclude that μ is less than 75.

• p-value
• α
• not reject
• is not
• cannot
• proportion
• ρ
• reject
• is
• can