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- When companies are designing a new product, one of the steps typically taken is to see how potential buyers react to a picture or prototype of the proposed product. The product-development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B to another, asking each person to indicate what they "would expect to pay" for such a product. The data resulting from the two pictures are provided in file (sheet 6). Using the 0.05 level of significance, determine whether the prototypes might not really differ in terms of the price that potential buyers would expect to pay. Sheet 6 ComputerA ComputerB 3 317 2 965 2 680 3 083 3 286 3 137 2 859 2 950 2 693 3 161 2 945 2 918 2 908 3 158 3 193 3 082 3 240 2 903 3 040 3 103…In low-speed crash tests of five cars, the repair costs were computed for a factory authorizedrepair and an independent repair workshop. The results are listed in Table 2. Is there sufficientevidence to support the claim that the independent workshop has lower repair costs? Use a 0.01significance level.Table 2 car 1 2 3 4 5 authorized repair centre X1 RM797 RM571 RM904 RM1147 RM418 independent workshop X2 RM523 RM488 RM875 RM911 RM297 D=X1 - X2 274 83 29 236 121 D2 = (X1 -X2)2 75076 6889 841 55696 14641A sample of 77 individuals working at a particular office was selected and the noise level (dBA) experienced by each individual was determined, yielding the following data (“Acceptable Noise Levels for Construction Site Offices,” Building Serv. Engr. Research and Technology, 2009: 87–94). 55.3 55.3 55.3 55.9 55.9 55.9 55.9 56.1 56.1 56.1 56.1 56.1 56.1 56.8 56.8 57 57 57 57.8 57.8 57.8 57.9 57.9 57.9 58.8 58.8 58.8 59.8 59.8 59.8 62.2 62.2 63.8 63.8 63.8 63.9 63.9 63.9 64.7 64.7 64.7 65.1 65.1 65.1 65.3 65.3 65.3 65.3 67.4 67.4 67.4 67.4 68.7 68.7 68.7 68.7 69 70.4 70.4 71.2 71.2 71.2 73 73 73.1 73.1 74.6 74.6 74.6 74.6 79.3 79.3 79.3 79.3 83 83 83 Use various techniques discussed in Descriptive Statistics lectures including visualizations to organize, summarize, and describe the data.
- A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.A sociologist wants to investigate the question, "Is there a relationship between texting during class and grade-point-average (GPA) among high school seniors in a large district?" Which study design is most appropriate? Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester, obtain each student’s GPA from the appropriate admissions and records office. Compare the GPA of students who routinely text during class to the GPA of students who do not text during class. Before the semester starts, randomly select 40 seniors from each high school who do not text during class. Assign 20 to the texting treatment group (text three or more times during every class meeting) and 20 to the control group (no texting during class). At the end of the semester,…In a study of three nationally representative large- scale data sets from Ireland, the United States, and the United Kingdom (n = 17,247), teenagers between the ages of 12 to 15 were asked to keep a diary of their screen time and answer questions about how they felt or acted. Identify the explanatory variables. Comment on wheter the results of the study can be generalized to the population and why
- In an experiment with the effect of different feeding on sheep fertility, two feed categories were examined, A and B. 192 rivers were given feed category A and 190 were given feed category B. The following number of monocotyledonous and dicotyledonous sheep were obtained in each category: Feed category A Feed category B Monocotyledonous 60 82 Dicotyledonous 132 108 Examine with an appropriate hypothesis test whether there is a difference in fertility by feed category.A random sample of 76 statistics students were asked about their latest test score (pass or failand whether they studied for the test or not. The following contingency table gives the two-way classification of their responses .The American Society for Microbiology (ASM) and the Soap and Detergent Association (SDA) jointly commissioned two separate studies during 2007, both of which were conducted by Harris Interactive. In one of the studies, 1001 adults were interviewed by telephone and asked about their hand-washing habits. In the other study, the hand-washing behavior of 6076 adults was inconspicuously observed within public restrooms in four U.S. cities. Address the following: a. In the telephone interviews, 921 of the adults said they always wash their hands in public restrooms. Use this result to obtain a point estimate for the proportion of adults who say they always wash their hands in public restrooms. b. Verify that the requirements for constructing a confidence interval for p from part (a) are satisfied. c. Using the results from the telephone interviews, construct and interpret a 95% confidence interval for the proportion of adults who say they always wash their hands in public restrooms. d. Is it…