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Homework 2: Chapters 3 & 4 Chapter 3- Set 1- 7: (b & d)…
Homework 2: Chapters 3 & 4
Chapter 3-
Set 1- 7: (b & d) 8: ( c)
For questions 7 and 8, also sketch the distribution and
shade the area they are looking for
7- In the previous problem, the test of eye fatigue has a mean of 15 and a standard deviation of 5. Using a normal curve table, what percentage of students havescores (a) above 16, (b) above 17, (c) above 18, (d) below 18, (e) below 14?
8- In the eye fatigue example of problems 6 and 7, using a normal curve table,what is the lowest score on the eye fatigue measure a person has to have to be in (a) the top 40%, (b) the top 30%, (c) the top 20%?
Set 2- 15
– A Z-score of 1.55 for one test and a Z- score of 1.28 for the other test should be obtained . These numbers are provided to check the results. However, show all calculations and explain the answer for credit
15- A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability.For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is this person’s stronger ability: verbal or quanti-tative? Explain your answer to a person who has never had a course in statistics.
Chapter 4-
Set 1 – 2, 6 (a)
Before beginning Problem 6, be sure you are able to answer the following questions about the IV and DV:
o Who is “Population 1”? Who is “Population 2″
o What is the Independent Variable and its
levels/groups?
o What is the Dependent Variable?
2- When a result is not extreme enough to reject the null hypothesis, explain why it is wrong to conclude that your result supports the null hypothesis.
6- A psychologist studying the senses of taste and smell has carried out many stud-ies in which students are given each of 20 different foods (apricot, chocolate,cherry, coffee, garlic, and so on). She administers each food by dropping a liquid on the tongue. Based on her past research, she knows that for students overall at the university, the mean number of the 20 foods that students can identify correctly is 14, with a standard deviation of 4, and the distribution of scores follows a normal curve. The psychologist wants to know whether people’s accuracy on this task has more to do with smell than with taste. In other words, she wants to test whether people do worse on the task when they are only able to taste the liquid compared to when they can both taste and smell it (note that this is a direc-tional hypothesis). Thus, she sets up special procedures that keep a person from being able to use the sense of smell during the task. The psychologist then tries the procedure on one randomly selected student. This student is able to identify only 5 correctly. (a) Using the .05 significance level, what should the psycholo-gist conclude? Solve this problem explicitly using all five steps of hypothesis testing and illustrate your answer with a sketch showing the comparison distri-bution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statis-tics (but who is familiar with mean, standard deviation, and Z scores).
Set 2 – 13 i & iii
13- For each of the following, (a) state which two populations are being compared,(b) state the research hypothesis, (c) state the null hypothesis, and (d) say whether you should use a one-tailed or two-tailed test and why.
i. In an experiment, people are told to solve a problem by focusing on the details. Is the speed of solving the problem different for people who get such instructions compared to the speed for people who are given no special instructions?
ii. Based on anthropological reports in which the status of women is scored on a 10-point scale, the mean and standard deviation across many cultures are known. A new culture is found in which there is an unusual family arrangement. The status of women is also rated in this culture. Do cultures with unusual family arrangements provide higher status to women than cultures in general?
iii. Do people who live in big cities develop more stress-related conditions than people in general?”
