2 22.11. In a report on consumer preference, it was given that out of 500 persons surveyed, 400 preferred variety A, 380 preferred variety B and 270 liked both A and B. Are the data consistent ? 31
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- 24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how mnany times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fir? How many seconds should he expect a player to take to run -0 yards if that player can do 22 leg-press repetitions Round any values to the nearest tenth, if necessary Leg Press (reps) 32 7 11 23 28 15 12 40-vard Dash (s) S.6 14.6 7.1 S.3 11 9 13 4 9.5 53°F a64 owners and a similar age group of pet owners. The pet owners are matched one to one with the non-pet owners for income, number of close friendships, and 0. A researcher uses a matched-subjects design to in- than singles without pets. A mood inventory survey vestigate whether single people with pets are happier happier is given to a group of 20- to 29-year-old non-p general health. The data follow: Non-Pet Owner Pet Owner Matched Pair 12 14 8. 10 13 9. 9. D 13 E 10 12 F a. Is there a significant difference in the mood scores for non-pet owners versus pet owners? Test with a = .05 for two tails. b. Construct the 95% confidence interval to estimate the size of the mean difference in mood between the population of pet owners and the population of non-pet owners. (You should find that a mean difference of p, = 0 is an acceptable value, which is consistent with the conclusion from the hypoth- esis test.) %3D D. AB24. The personnel manager of a consumer product company asked a random sample of employees how they felt about the work they were doing. The following table gives a breakdown of their responses by gender. Do the data provide sufficient evidence to conclude that the level of job satisfaction is related to gender? Use a = 0.10 Gender Male Female Very Interesting 70 35 Response Fairly Interesting 41 34 Not Interesting 9 11
- 10.59 To tip or not to tip. A study of tipping behaviors examined the relationship between the color of the shirt worn by the server and whether the customer left a tip. 12 There were 418 male customers in the study; 40 of the 69 who were served by a server wearing a red shirt left a tip. Of the 349 who were served by a server wearing a different colored shirt, 130 left a tip. a. Find the proportion of tippers for the red-shirted servers and the proportion of tippers for the servers with other colored shirts. b. Find a 95% confidence interval for the difference in proportions. a. Give a null hypothesis for this setting in terms of the parameters. Explain the meaning of the null hypothesis in simple terms. b. Give an alternative hypothesis for this setting in terms of the parameters. Explain the meaning of the alternative hypothesis in simple terms. Give a reason for your choice of this particular alternative hypothesis. c. Are the conditions satisfied for the use of the significance…4) A set of 15 data points has mean 28.2. When one data point is disregarded, the mean of the remaining 14 data points is 27. What is the value of the disregarded data point?22. The arm span and foot length were measured (in Using the computer output, what is the correlation? centimeters) for each of the 19 students in a statistics O 0.630 class and displayed in the scatterplot. An analysis was completed and the computer output is shown. O 0.649 O 0.794 O 0.806 Arm Span vs. Foot Length 29 27 ... 19 155 160 165 170 175 180 185 190 195 Mark this and return Save and Exit Next Submit 65 DELL F3 4101 F4 F5 F6 FZ F8 F9 F10 F11 Priscr F12 Insert %23 %24 & 4. 5 7 08. E R D F G J K L Foot Length (cm) 立
- 4. A third year HRM student did a research on the level of service being provided by the school canteen. The following table shows the results of her study. The manager of the canteen would like to know whether the data gathered by the student apply to the professor of the university. He asked randomly selected 60 professors. The following table shows the data he collected. Frequency of Responses Percentage professors (Observed) Excellent 30 5 Good 40 15 Fair 20 20 Рor 10 1012. The following dotplot shows the results from a previous class. The average word 1 is the Average Word length when students selected their own words and Average Word 2 is when the words were randomly selected. Variable 7 Average Word-2800 88..... Average Word-1- The population mean for word length is 4.3 letters. Comment on results from both graphs and the ability to predict the population mean from a sample. Your answer should be a college level paragraph that consists of a topic sentence, supporting sentences and a concluding sentence.