Question
Depending on the test, you may have to determine various notations before we can run the test (i.e.in ANOVA calculating G, N, k,X 2 ,
Depending on the test, you may have to determine various notations before we can run the test (i.e.in ANOVA calculating G, N, k,X2, SS for each group, Mean for each group, etc.)
1. What is the t-value associated with 50% of the distribution in the tails for a two-tailed test with df=40?
2. What is the t-value associated with an alpha of .01 for a two-tailed test with n=24?
3. What proportion of scores are located in one-tail of a distribution associated with a critical t-value of 1.325, when you have a sample of 21?
4. What is the t-value associated with an alpha of .025 for a one-tailed test with df=17?
5. A pharmaceutical company hires a psychologist to test the effectiveness of Painfree, a newlymanufactured painkiller. The experimenter decides to test the analgesic (pain-reducing) effectof Painfree by asking volunteers to immerse their hands in a pail of ice water. The responsemeasure is the length of time (in seconds) each subject can tolerate the immersion. Twelvepersons are selected at random. On the first day, the subjects are all given a placebo, and theirtolerance to the pain of the ice water is measured. On the second day, the subjects are given aPainfree, and their tolerance is measured. Does Painfree increase pain tolerance?=.01
Pain tolerance
Placebo | 45 15 49 50 56 70 55 14 65 10 16 57 |
Painfree | 60 20 47 63 53 90 76 28 90 16 32 86 |
a. What is the proper test to analyze if there are significant differences among the four viewing distances? (Single-sample t-test, Independent Samples T-test, or Dependent Samples T-test)
b. Conduct the complete hypothesis test.
c. Compute the effect size and (if necessary) any post hoc tests.
d. State all of your conclusions
6. A census in Alaska indicated that native Alaskan men married at an average age of 28. The Juneau Chamber of Commerce believed that due to the relatively milder weather in their city,men in Juneau married at an average age older than the general population of Alaskan men. Arandom sample of 25 men in Juneau yielded an average age of 31 at marriage, with a standarddeviation of 3.57 years. Conduct a hypothesis test to determine if men in Junaeu get married atan average age older than the general population of Alaskan men. = .05.
a. What is the proper test to analyze if there are significant differences among the four viewing distances? (Single-sample t-test, Independent Samples T-test, or Dependent Samples T-test)
b. Conduct the complete hypothesis test.
c. Compute the effect size (if necessary).
d. State all of your conclusions.
e.
7. Research results suggest a relationship between the TV viewing habits of 5-year-old childrenand their future performance in high school. For example, Anderson, Huston, Wright, &Collins (1998) report that high school students who regularly watched Sesame Street as childrenhad better grades in high school than their peers who did not watch Sesame Street. Supposethat a researcher intends to examine this phenomenon using a sample of 20 high schoolstudents. The researcher first surveys the students' parents to obtain information on thefamily's TV viewing habits during the time that the students were 5 years old. Based on thesurvey results, the researcher selects a sample of 10 students with a history of watching "SesameStreet" and a sample of 10 students who did not watch the program. The average high school grade is recorded for each student and the data are as follows:
Average High School Grade
Watched Sesame St. | 86 99 87 97 91 94 97 98 92 89 |
Did Not Watch Sesame St. | 90 79 89 83 82 86 83 81 85 92 |
The researcher would like to know whether there is a significant difference between the twotypes of high school student. =.01
a. What is the proper test to analyze if there are significant differences among the four viewing distances? (Single-sample t-test, Independent Samples T-test, or Dependent Samples T-test)
b. Conduct the complete hypothesis test.
c. Compute the effect size (if necessary).
d. State all of your conclusions.
8. On average, a flight to Chicago in the summer time costs $250. On Tuesday, when you lookonline to book your flight to Lollapalooza in Chicago, you see that the 5 airlines you search forhave flights for an average of $200 with a standard deviation of $20. Are flights significantlydifferent on Tuesday than they typically are on average? = .10
a. What is the proper test to analyze if there are significant differences among the four viewing distances? (Single-sample t-test, Independent Samples T-test, or Dependent Samples T-test)
b. Conduct the complete hypothesis test.
c. Compute the effect size (if necessary).
d. State all of your conclusions.
9. In a study of jury behavior, two samples of participants were provided details about a trial inwhich the defendant was obviously guilty. Although Group 2 received the same details as
Group 1, the second group was also told that some evidence had been withheld from the juryby the judge. Later the participants were asked to recommend a jail sentence. The length ofterm suggested by each participant is presented here. Is there a significant difference between the two groups in their responses? =.05
Recommended jail sentence
Group 1 | 4 4 3 2 5 1 1 4 |
Group 2 | 3 7 8 5 4 7 6 8 |
a. What is the proper test to analyze if there are significant differences among the four viewing distances? (Single-sample t-test, Independent Samples T-test, or Dependent Samples T-test)
b. Conduct the complete hypothesis test.
c. Compute the effect size (if necessary).
d. State all of your conclusions.
10. Dr. Baxter was trying to demonstrate the effectiveness of a new form of therapy for panicdisorder. Twelve clients with a panic disorder first received the conventional treatment for 6weeks and their panic disorder symptoms were assessed. Then, they began receiving theexperimental treatment for 6 weeks, and again their panic disorder symptoms were assessed. Does Dr. Baxter's experimental treatment reduce panic disorder symptoms?a=.01
Experimental Treatment | 10 8 2 3 9 9 7 5 7 6 7 6 |
Conventional Treatment | 13 10 5 8 7 14 13 13 7 8 12 5 |
a. What is the proper test to analyze if there are significant differences among the four viewing distances? (Single-sample t-test, Independent Samples T-test, or Dependent Samples T-test)
b. Conduct the complete hypothesis test.
c. Compute the effect size (if necessary).
d. State all of your conclusions.
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