Minority ownership of franchises. According to a 2011 report for IFA Educational Foundation, $20.5 \%$ of all franchised businesses in the United States are minority owned. (This information is based on the U.S. Census Bureau's survey of 27 million business owners.) Suppose that you obtain a sample of 100 franchised businesses located in Mississippi and find that 15 are owned by minorities. Does this result lead you to conclude that the percentage of minority-owned franchises in Mississippi is less than the national value of $20.5 \%$ ? Explain.

Is it possible to produce malleable cast iron in pieces having large cross-sectional dimensions? Why or why not?

Seven students are running for two positions on the Student Council. How many different pairs of students could be elected to the positions?

. An observational study of (tit) teams fishing for the red spiny lobster in Baja California TRAPS Sur, Mexico, was conducted and the results published in Bulletin of Marine Science (April 2010). One of the variables of interest was the average distance separating traps-called trap spacing-deployed by the same team of fishermen. Trap-spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are shown in the accompanying table. Of interest is the mean trap spacing for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico.

93 99 105 94 82 70 86

Identify the target parameter for this study.

Lobster trap placement. Refer to the Bulletin of Marine Science (April 2010) observational study of lobster trap placement by teams fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise 7.54 (p. 393). Trap-spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are repeated in the table. (These measurements are for the BT cooperative in the accompanying data file.) The researchers want to know whether $\sigma^2$, the variation in the population of trap-spacing measurements, is larger than $10 \mathrm{~m}^2$. They will conduct a test of hypothesis using $\alpha=.05$. Use statistical software to find the p-value of the test.

Lobster trap placement. Refer to the Bulletin of Marine Science (April 2010) study of lobster trap placement. Recall that you used a $95 \%$ confidence interval to estimate the mean trap spacing (in meters) for the population of red spiny lobster fishermen fishing in Baja California Sur, Mexico. How many teams of fishermen would need to be sampled in order to reduce the width of the confidence interval to 5 meters?

College dropout study. Refer to the American Economic Review (December 2008) study of college dropouts, Exercise $2.79$ (p. 87). Recall that one factor thought to influence the college dropout decision was expected GPA for a student who studied 3 hours per day. In a representative sample of 307 college students who studied 3 hours per day, the mean GPA was $\bar{x}=3.11$ and the standard deviation was $s=.66$. Of interest is $\mu$, the true mean GPA of all college students who study 3 hours per day. It is unlikely that the GPA values for college students who study 3 hours per day are normally distributed. In fact, it is likely that the GPA distribution is highly skewed. If so, what impact, if any, does this have on the validity of inferences derived from the confidence interval?

College dropout study. The American Economic Review (December 2008) published a study on the factors (other than credit constraints) that would influence the college dropout decision. One factor of interest was expected GPA for a college student who studied 3 hours per day. In a representative sample of 307 college students, the researchers reported the following summary statistics for the expected GPA of those who studied 3 hours per day: $\bar{x}=3.11, s=.66$. Give an interval that will contain most (at least $75 \%$ to approximately $95 \%$ ) of the 307 GPAs.

College dropout study. Refer to the American Economic Review (December 2008) study of college dropouts, Exercise $2.79$ (p. 87). Recall that one factor thought to influence the college dropout decision was expected GPA for a student who studied 3 hours per day. In a representative sample of 307 college students who studied 3 hours per day, the mean GPA was $\bar{x}=3.11$ and the standard deviation was $s=.66$. Of interest is $\mu$, the true mean GPA of all college students who study 3 hours per day. Give an interval estimate for $\mu$. Use a confidence coefficient of 98 .

College dropout study. Refer to the American Economic Review (December 2008) study of college dropouts, Exercise $2.79$ (p. 87). Recall that one factor thought to influence the college dropout decision was expected GPA for a student who studied 3 hours per day. In a representative sample of 307 college students who studied 3 hours per day, the mean GPA was $\bar{x}=3.11$ and the standard deviation was $s=.66$. Of interest is $\mu$, the true mean GPA of all college students who study 3 hours per day. Give a point estimate for $\mu$.

An aluminum wire is 0.850 m long and has a circular cross section of diameter 0.780 mm. Fixed at the top end, the wire supports a 1.20-kg object that swings in a horizontal circle. Determine the angular speed of the object required to produce a strain of $1.00 \times 10^{-3}$.

O In the cabin of a ship, a soda can rests in a saucer shaped indentation in a built-in counter. The can tilts as the ship slowly rolls. In which case is the can most stable against tipping over? (a) It is most stable when it is full. (b) It is most stable when it is half full. (c) It is most stable when it is empty. (d) It is most stable in two of these cases. (e) It is equally stable in all cases.

Find the shear force and bending moment diagram's for the beam .

Draw the shear and moment diagram for a simply supported beam $AB$ of length $L$ having $M_0$ moment at the center of beam.