There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of 0 to 200, is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personability." Suppose that scores on this test have a mean of 98 and a standard deviation of 16. Complete the following statements about the distribution of scores on this personality test.
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- A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. A prior survey of patients had found the mean score for the population of patients to be μ=2.9 After careful review of these data, the hospital nutritionist decided that patients could benefit from nutrition education. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for the 15 patients sampled: x¯=3.5 and s=1.2 We would like to know if the education improved nutrition behavior. We test the hypotheses H0:μ=2.9 versus Ha:μ>2.9. The tt test to be used has the test statistic: Answer:Suppose the mean price for used cars is $10,198. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are shown in the file named UsedCars. 12,400 10,400 12,100 10,000 11,000 8,895 7,675 9,975 6,350 10,470 9,895 11,250 8,795 12,500 9,340 10,150 9,200 9,395 11,000 10,640 10,000 7,500 8,000 10,440 10,200 10,300 9,740 9,280 10,930 8,000 9,000 7,680 9,400 10,730 7,350 12,240 11,970 8,240 9,910 10,080 9,440 8,970 9,500 10,050 10,130 11,400 8,500 7,500 9,090 10,500 (a) Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership. H0: ? ≤ 10,198 Ha: ? > 10,198 H0: ? < 10,198 Ha: ? ≥ 10,198 H0: ? = 10,198 Ha: ? ≠ 10,198 H0: ? > 10,198 Ha: ? ≤ 10,198 H0: ? ≥ 10,198…Please see the attached photo
- A shopper at a local supermarket has spent these amounts in his last eight trips to the store: $32.92, 14.14, 30.80, 28.34, 75.58, 36.33, 33.51, and 22.94. Which statement about deleting the amount spent of $75.58 is false? a. The median of this data set may be more representative of the mean. b. The value of the mean would be reduced by $5.89. c. The value of the mean would not change. d. The value of the mean would be greatly reduced.The following refer to the following data set: 52.2 20.1 38.2 16.4 52.2 44.7 35.6 26.9 52.2 31.2 What is the arithmetic mean of this data set? mean = What is the median of this data set? median = What is the mode of this data set? mode =In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders High School Mean score on test Glenwood Central City Lincoln High 81 92 72 273 333 159 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 81.7. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =
- In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean Test Score Number of ninth graders (Frequency) Glenwood 81 284 Central 95 323 Lincoln 69 154 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was the average of 81, 95, and 69, which is 81.7. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. The data: Achievement_Group Cheat 1 20 1 40 1 49 1 50 1 51 1 51 1 52 1 53 1 58 1 42 1 48 1 48 1 52 1 55 1 55 1 56 1 59 1 67 1 80 1 79 2 19 2 25 2 20 2 29 2 24 2 32 2 25 2 27 2 30 2 55 2 40 2 25 2 27 2 35 2 42 2 30 2 30 2 34 2 40 2 27 3 60 3 65 3 69 3 78 3 79 3 80 3 80 3 90 3 95 3 50 3 55 3 55 3 60 3 69 3 70 3 70 3 88 3 90 3 90 3 91 Before opening the data,…
- A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. Before opening the data, what would you hypothesize about this research question?Find a set of 5 items in a data set that have a range of 9, a mean of 1, a median of 12, and a mode of 15