The data below shows the number of times that 50 students have lost a pencil this week: $5,9,10,5,9,9,8,4,9,8,5,7,3,10,7,7,8,7,6,6,9,6,4,4,10,5,6,6,3,8,7,8,3$ $4,6,6,5,7,5,4,3,5,2,4,2,8,1,0,3,5$

Construct a frequency table for this data.

The following table shows the number of times Key Club students at Peconic High School went to Echo Beach last summer.

$$\begin{array}{c|c} \text { Number of Echo } & \\ \text { Beach Trips } & \text { Frequency, } f \\ \hline 5 & 8 \\ 6 & 7 \\ 8 & 11 \\ 9 & 15 \\ 12 & 3 \\ 14 & 4 \\ \hline \text { TOTAL } & \end{array}$$

Find the mean, median, mode, range, variance, and standard deviation for the distribution. Round to the nearest tenth.

(a) Has this poem changed the way you see horses and cows? Explain. (b) Has it changed the way you see people? Explain.

For Exercise given below, perform the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value.

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

A book publisher wishes to determine whether there is a difference in the type of book selected by males and females for recreational reading. A random sample provides the data given here. At $\alpha=0.05$, test the claim that the type of book selected is independent of the gender of the individual. Use the P-value method.

Copy and complete the table below to find the number of students present each day. Number of Students Present

The ages of students in a class at the community center are shown below. What is the mean age of the students in the class?

$$25,28,36,21,28,15,24,30$$

A. 25.9 B. 26.5 C. 29 D. 30

The English publisher of a book called Cambridge gave a New York publisher permission to sell that book any place in the world except in England. The New York publisher made several bulk sales of the book to buyers who sold the book throughout the world, including England. The English publisher sued the New York publisher and its customers for breach of the restriction prohibiting sales in England. Decide.

Before the 2003 Super Bowl, ABC predicted that 22% of the Super Bowl audience would express an interest in seeing one of its forthcoming new television shows, including 8 Simple Rules, Are You Hot?, and Dragnet. ABC ran commercials for these television shows during the Super Bowl. The day after the Super Bowl, Intermediate Advertising Group of New York sampled 1532 viewers who saw the commercials and found that 414 said that they would watch one of the ABC advertised television shows (The Wall Street Journal, January 30, 2003). a. What is the point estimate of the proportion of the audience that said they would watch the television shows after seeing the television commercials? b. At $\alpha$= .05, determine whether the intent to watch the ABC television shows significantly increased after seeing the television commercials. Formulate the appropriate hypotheses, compute the p-value, and state your conclusion. c. Why are such studies valuable to companies and advertising firms?

Access the data accompanying this exercise.

Compute and interpret the correlation coefficient for household income and the percentage of the residents who are without a high school diploma.

Refer to the table of data given in the Exercise and use the durations and heights.

Find the value of the linear correlation coefficient and determine whether there is sufficient evidence to support a claim of a linear correlation between duration and height.

Perform each of the following steps.

a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Find the test value. d. Make the decision. e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

A survey of 800 randomly selected recent degree recipients found that 155 received associate degrees; 450, bachelor degrees; 20, first professional degrees; 160, master degrees; and 15, doctorates. Is there sufficient evidence to conclude that at least one of the proportions differs from a report which stated that $23.3 \%$ were associate degrees; $51.1 \%$, bachelor degrees; $3 \%$, first professional degrees; $20.6 \%$, master degrees; and $2 \%$, doctorates? Use $\alpha=0.05$

What does a correlation coefficient measure? What is its range? Why is a correlation coefficient easier to interpret than a covariance?

The coefficient of correlation between variables $y$ and $x$ is $-0.90$. Calculate and interpret the value of the coefficient of determination.

Access the data accompanying this exercise. a. Compute and interpret the correlation coefficient for household income and house value.

b. Compute and interpret the correlation coefficient for household income and the percentage of the residents who are foreign born.

c. Compute and interpret the correlation coefficient for household income and the percentage of the residents who are without a high school diploma.