(1 point) final scores in a mathematics course are normally distributed with a mean of 71 and a standard deviation of 13. Based on the above information and a Z-table, fill in the blanks in the table below.  

Precision and other notes: (1) Percentiles should be recorded in percentage form to three decimal places.  
(2) Note that this problem does not use the rough values of the 68-95-99.7 rule (that is, the empirical rule); instead you must use more precise Z-table values for percentiles.

This question will ask you about the sequential search theory of unemployment.

a) What is the reservation wage?

b) What does sequential search theory predict about its behavior over the unemployment spell?

c) In the data, reservation wages typically decline over the unemployment spell. Provide 3 possible reasons why this might be the case.

d) Are declining reservation wages consistent or inconsistent with negative duration dependence?

e) How might you reconcile the empirical regularities of (i) declining reservation wages and (ii) negative duration dependence?

The life spans of a species of fruit fly have a​ bell-shaped distribution, with a mean of 34 days and a standard deviation of 4 days. ​(a) The life spans of three randomly selected fruit flies are 36 ​days, 31 ​days, and 46 days. Find the​ z-score that corresponds to each life span. Determine whether any of these life spans are unusual. ​(b) The life spans of three randomly selected fruit flies are 26 ​days, 30 ​days, and 46 days. Using the Empirical​ Rule, find the percentile that corresponds to each life span.

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 24 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.4 hours.

Use the Empirical Rule to answer the following questions.

a) 68% of the students spend between  hours and  hours on Statistics each week.

b) 95% of the students spend between  hours and  hours on Statistics each week.

c) 99.7% of the students spend between  hours and  hours on Statistics each week.

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 20 students, and the distribution of total study hours per week is bell-shaped with a mean of 13 hours and a standard deviation of 3.4 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between - hours and - hours on Statistics each week. b) 95% of the students spend between - hours and - hours on Statistics each week. c) 99.7% of the students spend between - hours and - hours on Statistics each week.

Please label your work correctly and make them as visible and coherent as possible.

1)In your own words, explain the Simpsons Paradox.

2)How does the coefficient of determination differ from the correlation coefficient?

3)Explain the difference between the empirical method and the classical method of calculating probabilities.

4) In your own words, describe what it means for two events to be mutually exclusive, or disjoint. Give an example of two events that are mutually exclusive/disjoint.

5) Explain the difference between correlation and causation. When is it appropriate to state that the correlation implies causation?

McDonald’s runs two business models. Some McDonald’s restaurants are wholly-owned and operated by the parent company, while some McDonald’s restaurants follow a franchise model i.e. the parent company charges a franchise fee and the restaurant is then independently owned and operated by the franchise owner. Empirical evidence suggests that McDonald's restaurants that are wholly-owned by the parent company (the first type described above) charge lower prices than the prices charged by independent franchises of the company (the second type described above). How can this difference in prices charged be explained?

The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.08degreesF and a standard deviation of 0.61degreesF. Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the​ mean, or between 96.25degreesF and 99.91degrees​F? b. What is the approximate percentage of healthy adults with body temperatures between 96.86degreesF and 99.30degrees​F? a. Approximately nothing​% of healthy adults in this group have body temperatures within 3 standard deviations of the​ mean, or between 96.25degreesF and 99.91degreesF.

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 57 months and a standard deviation of 11 months. Using the empirical (68-95-99.7) rule, what is the approximate percentage of cars that remain in service between 24 and 46 months? Ans = % (Do not enter the percent symbol. This asks for a percentage so do not convert to decimal. For example, for 99%, you would enter 99, not 0.99)

The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 264.8 and a standard deviation of 60.4. ​(All units are 1000 ​cells/mu​L.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 83.6 and 446.0​? b. What is the approximate percentage of women with platelet counts between 144.0 and 385.6​? a. Approximately nothing​% of women in this group have platelet counts within 3 standard deviations of the​ mean, or between 83.6 and 446.0.