**Question**

Jamie, a bowler, claims that her bowling score is less than 168 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She bowls 17 games. The mean score of the sample games is 155 points. Jamie knows from experience that the standard deviation for her bowling score is 19 points.

- H0: μ≥168; Ha: μ<168
- α=0.01 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

**Question**

Which of the following results in a null hypothesis p≤0.61 and alternative hypothesis p>0.61?

**Question**

Determine the Type II error if the null hypothesis, H0, is: a wooden ladder can withstand weights of 250 pounds and less.

**Question**

Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She bowls 18 games. The mean score of the sample games is 155 points. Lexie knows from experience that the standard deviation for her bowling score is 17 points.

- H0: μ≤140; Ha: μ>140
- α=0.05 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

**Question**

Which of the following results in a null hypothesis p≥0.44 and alternative hypothesis p<0.44?

**Question**

Determine the Type I error if the null hypothesis, H0, is: the percentage of homes in the city that are not up to the current electric codes is* no* more than 10%.

And, the alternative hypothesis, Ha, is: the percentage of homes in the city that are not up to the current electric codes is more than 10%.

**Question**

Which graph below corresponds to the following hypothesis test?

H0:μ≥5.9, Ha:μ<5.9

**Question**

Which graph below corresponds to the following hypothesis test?

H0:p≤8.1, Ha:p>8.1

**Question**

Which of the following results in a null hypothesis p≤0.69 and alternative hypothesis p>0.69?

**Question**

Which of the following results in a null hypothesis μ≤7 and alternative hypothesis μ>7?

**Question**

Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is the Type I error in this scenario?

**Question**

Determine the Type II error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt.

**Question**

Which graph below corresponds to the following hypothesis test?

H0:μ≤16.9, Ha:μ>16.9

**Question**

Which of the hypothesis tests listed below is a **left-tailed** test? Select all correct answers.

**Question**

Suppose a pitcher claims that her pitch speed is not equal to 45 miles per hour, on average. Several of her teammates do not believe her, so the pitcher decides to do a hypothesis test, at a 1% significance level, to persuade them. She throws 21 pitches. The mean speed of the sample pitches is 46 miles per hour. The pitcher knows from experience that the standard deviation for her pitch speed is 6 miles per hour.

- H0: μ=45; Ha: μ≠45
- α=0.01 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

**Question**

Suppose a bowler claims that her bowling score is less than 116 points, on average. Several of her teammates do not believe her, so the bowler decides to do a hypothesis test, at a 5% significance level, to persuade them. She bowls 25 games. The mean score of the sample games is 103 points. The bowler knows from experience that the standard deviation for her bowling score is 19 points.

- H0: μ≥116; Ha: μ<116
- α=0.05 (significance level)

# Solution:

Jamie, a bowler, claims that her bowling score is less than 168 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She bowls 17 games. The mean score of the sample games is 155 points. Jamie knows from experience that the standard deviation for her bowling score is 19 points.

- H0: μ≥168; Ha: μ<168
- α=0.01 (significance level)

**Answer**: Test statistic= -2.82

Which of the following results in a null hypothesis p≤0.61 and alternative hypothesis p>0.61?

**Answer:** A study says that at most 61% of students study less than 5 hours per week. A researcher thinks this is incorrect, and wants to show that more than 61% of students study less than 5 hours per week.

Determine the Type II error if the…**Please click the icon below to download at $10**