8. A market investigator returns the following' data. Of 1,000 people consulted 811 liked chocolates, 752-liked toffees and 418 liked boiled sweets, 570 liked both chocolates and toffees, 356 liked chocolates and boiled sweets and 348 liked toffees and boiled sweets, 297 liked all three. Show that this information as it stands must be incorrect.

10. The most common species of sweat bees are green, red, and yellow. For each color, we select a sample of 100 of bees of this color and record their length (in inches). We then create 3 data sets of 100 observations each, called "green", "red" and "yellow". Below are the boxplots and histograms for these data sets. The labels of the variables are missing from the histograms, but are included in the boxplots. Our task is to identify the missing labels. Which one of the following statements is correct? HAE 1141 (a) green (b) red (c) yellow 00 0.5 1.0 1.5 2.0 0.5 1.0 1.5 20 0.0 05 1.0 1.5 (d) (e) (f) A) Histogram (d) is for green, (e) is for red, and (f) is for yellow. B) Histogram (f) is for green, (e) is for red, and (d) is for yellow. C) Histogram (e) is for green, (f) is for red, and (d) is for yellow. D) Histogram (f) is for green, (d) is for red, and (e) is for yellow. E) Histogram (d) is for green, (f) is for red, and (e) is for yellow. 9 2.0

10. The most common species of sweat bees are green, red, and yellow. For each color, we select a sample of 100 of bees of this color and record their length (in inches). We then create 3 data sets of 100 observations each, called "green", "red" and “yellow". Below are the boxplots and histograms for these data sets. The labels of the variables are missing from the histograms, but are included in the boxplots. Our task is to identify the missing labels. Which one of the following statements is correct? (a) green (b) red (c) yellow 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 (d) (e) (f) A) Histogram (d) is for green, (e) is for red, and (f) is for yellow. B) Histogram (f) is for green, (e) is for red, and (d) is for yellow. C) Histogram (e) is for green, (f) is for red, and (d) is for yellow. D) Histogram (f) is for green, (d) is for red, and (e) is for yellow. E) Histogram (d) is for green, (f) is for red, and (e) is for yellow. Frequency O'Z 02 4 Frequency OL Frequency…

Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.

We discuss how to test for an association between two categorical variables in Section 6.8. A marine research team records the number of fish from 3 species that they find at different depth categories in the ocean.   They are interested in assessing whether or not there is a relationship between the depth category (close to surface, mid-level, ocean floor) and the fish species found (species A, species B, species C). A two-way table showing the classification of a sample of 150 observations is given below.   If the variables for the ocean depth category and the species are independent, how would you calculate the expected number of fish that are at the mid-level and from species C? Expected number =

Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 57 preferred comedies. 40 preferred variety shows. 42 preferred serious drama. 17 preferred comedies and variety programs. 15 preferred variety and serious drama. 18 preferred comedies and serious drama. 8 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?