# 18. You choose an alpha level of .01 and then analyze your data. a. What is the probability that you will...

**rosyca**

**18.** You choose an alpha level of .01 and then analyze your data.

a. What is the probability that you will make a Type I error given that the null hypothesis is true?

b. What is the probability that you will make a Type I error given that the null hypothesis is false?

**7.** Below are data showing the results of six subjects on a memory test. The three scores per subject are their scores on three trials (a, b, and c) of a memory task. Are the subjects get- ting better each trial? Test the linear effect of trial for the data.

a | b | c |

4 | 6 | 7 |

3 | 7 | 8 |

2 | 8 | 5 |

1 | 4 | 7 |

4 | 6 | 9 |

2 | 4 | 2 |

a. Compute L for each subject using the contrast weights -1, 0, and 1. That is, compute (-1)(a) + (0)(b) + (1)(c) for each subject.

b. Compute a one-sample t-test on this column (with the L values for each subject) you created.

**13.** You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions. The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100.

a. What is the calculated t value? Are the mean test scores of these two groups significantly different at the .05 level?

b. What would the t value be if there were only 6 participants in each group? Would the scores be significant at the .05 level?

**4.** Rank order the following in terms of power.

| Population 1 Mean | N | Population 2 Mean | Standard Deviation |

A | 29 | 20 | 43 | 12 |

B | 34 | 15 | 40 | 6 |

C | 105 | 24 | 50 | 27 |

D | 170 | 2 | 120 | 10 |

**65.** Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.

**71.** Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test, the Type I error is:

a. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher

b. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same

c. to conclude that the mean hours per week currently is 4.5, when in fact, it is higher

d. to conclude that the mean hours per week currently is no higher than 4.5, when in fact, it is not higher

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### STAT 200 Week 6 Homework, A+ Grade Guaranteed

Lane Chapter 11

18. You choose an alpha level of .01 and then analyze your data.

a. What is the probability that you will make a Type I error given that the nullhypothesis is true?

b. What …

7 years ago### STATS 200

NOT RATED18. You choose an alpha level of .01 and then analyze your data.

a. What is the probability that you will make a Type I error given that the null hypothesis is true?

b. What is the …

7 years ago### 18. You choose an alpha level of .01 and then analyze your data. a. What is the probability that you will make a Type I error given that the null hypothesis is true? b. What is the probability that you will make a Type I error given that the null hypothes

NOT RATED18. You choose an alpha level of .01 and then analyze your data.

a. What is the probability that you will make a Type I error given that the null hypothesis is true?

b. What is the probability that you …

7 years ago### Question

NOT RATED18. You choose an alpha level of .01 and then analyze your data.

a. What is the probability that you will make a Type I error given that the null hypothesis is true?

b. What is the probability that you …7 years ago### STAT 200 Week 6 Homework

NOT RATED**STAT 200 Week 6 Homework****18. You choose an alpha level of .01 and then analyze your data.****a. What is the probability that you will make a Type I error given that the null hypothesis is true?****b. What is …**7 years ago### Questions

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**18**. You choose an alpha level of .01 and then analyze your data.a. …

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