A restaurant is interested to see how strong the correlation is between the number of table staff and the number of complaints on a given night. On the basis of historical data, it estimates the probabilities as follows: Table Staff Complaints 2 3 4 0.12 0.3 0.28 1 0.06 0.12 0.02 2 0.08 0.02 What is the mean number of table staff? O 2.94 O 3.00 O 3.04 O 3.20 O 3.88

7. Which of the following biases can be associated with the availability heuristic? A. When ease of recall is not associated with probability. B. Ease of imagination is not related to probability. C. Ignoring base-rate frequencies. D. Illusory correlation.

A firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry? TV Viewers: % of Viewers,  by Major Sport Category     Item Ages 18-34 Ages 35+ eSports 50.6 86.3 Mixed Martial Arts 30 80.7 MLS 27.3 79.7 High School Football n/a 79.4 Minor League Hockey 24.6 78.8 Soccer (non-USA) 23.9 78.7 NBA 23.9 77.5 Running n/a 76.9 Minor League Baseball 21.7 76.7 NHL 20.1 73.9 NFL 20.1 70.5 NASCAR 19.3 n/a MLB 19.1 68.1 Tennis 18.7 68.5 College Basketball 18.2 n/a IndyCar 18 62.7 College Football 17.9 62.5 Golf 11.9 32

You want to examine the relationship between dropping out of high school and delinquency. You have a random sample of 11 students. You have the number of delinquent offenses that each student reported committing in the year before and after dropping out of school. The following table shows the data. Before dropping After dropping Student out out 1 7 2 9. 2 3 4 7 7 8 11 6 11 13 7 8 4 8 8 10 9. 5 7 10 2 1 11 3 From performing a hypothesis test to determine if the mean number of delinquent differs after dropping out, what is the p-value? (Round off to two decimal places if necessary)

The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender:   Opinion Female Male Almost no chance 120 104 Some chance but probably not 141 158 A 50-50 chance 454 499 A good chance 742 729 Almost certain 1168 764 What percent of females thought that they were almost certain to be married in the next 10 years?

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.

The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flipped" classroom. Complete parts (a) through (c) below. Traditional 69.9 69.6 78.7 67,6 84.7 78.5 56.3 80.2 81.9 71.0 64.4 70.2 59.0 Flipped 77.5 72.5 62.7 72.6 76.9 90.4 79.6 77.4 81.9 70.5 91.3 77.8 75.7 (a) Which course has more dispersion in exam scores using the range as the measure of dispersion? The traditional course has a range of 28.4 , while the "flipped" course has a range of 28.6. The flipped course has more dispersion. (Type integers or decimals. Do not round.) (b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of dispersion? The traditional course has a standard deviation of, while the "flipped" course has a standard deviation of The V course has more dispersion. (Round to three decimal places as needed.)