Exam 6: Putting Statistics to Work

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking. -You are considering moving to a new city and would like to know the average price of a new home in that city. Which type of average would be the most useful to you?

Provide an appropriate response. -Which of the following statements concerning areas under the standard normal curve is/are true? a. If a $z$ -score is negative, the area to its right is greater than $0.5$ b. If the area to the right of a $z$ -score is less than $0.5$ , the $z$ -score is negative. c. If a z-score is positive, the area to its left is less than $0.5$

Find the standard score for the given data value. -A data value in the 58th percentile.

Identify the distribution as symmetric, left-skewed, or right-skewed. -Exam scores for an exam in which most students did very well but a few students failed

Find the median for the given sample data. -A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. $89,15,210,107,261,249,236$ Find the median number of newspapers sold.

Solve the problem. -Assume that math SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. If you scored 560, what percentage of those taking the test scored below you?

Construct a boxplot as requested. -Here are the heights of the male and female employees at First City Bank. Draw a double box plot for each of the two data sets. Males Height (inches) Females Height (inches) Ronald 62 Lauren 56 Robert 64 Tracie 59 Jeff 66 Kim 60 Kevin 66 Tiffany 62 Ralph 68 Stacy 66 Mike 70 Jackie 66 Dean 73 Kellie 68 Steven 75 Pat 71 Jason 78 Beth 73

Provide an appropriate response. -A company advertises an average of 42,000 miles for one of its new tires. In the manufacturing process there is some variation around that average. Would the company want a process that provides a large or a small standard deviation? Justify your answer.

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation. -A health insurer has determined that the "reasonable and customary" fee for a certain medical procedure is $1200. They suspect that the average fee charged by one particular clinic for this Procedure is higher than $1200. The insurer wants to perform a hypothesis test to determine Whether their suspicion is correct. The hypothesis tests are as follows: Null hypothesis: mean fee = $1200 Alternative hypothe $\text { mean fee } > \$ 1200$

Find the standard score for the given data value. -A data value in the 97 th percentile.

State whether you would expect the data set to be normally distributed. -The number of siblings of the students at Bloomington High School

Construct a boxplot as requested. -The weekly salaries (in dollars)of 24 randomly selected employees of a company are shown below. Construct a boxplot for the data set. 310 320 450 460 470 500 520 540 580 600 650 700 710 840 870 900 1000 1200 1250 1300 1400 1720 2500 3700

Select the requested distribution. -Which of the distributions is skewed to the right?

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking. -A state governor is planning a tax cut. The governor is to announce the average amount that people would save if the tax cut were to take effect. If the governor wants to exaggerate the benefit of the tax cut, which average would he quote?

A hypothesis test is to be performed. State the null and alternative hypotheses. -The governor of a state claims that since his tax cuts have taken effect, the unemployment rate has dropped. The unemployment rate in the state had been $6.3 \%$ prior to the tax cuts.

Find the median for the given sample data. -The distances traveled (in miles)to 7 different swim meets are given below: $18,30,33,57,65,73,86$ Find the median distance traveled.

Find the median for the given sample data. -The weights (in ounces)of 21 cookies are shown. Find the median weight. 0.75 1.03 0.81 1.62 0.69 0.72 1.20 1.03 1.53 0.93 0.75 1.35 1.33 0.69 0.47 1.35 0.72 1.33 1.72 0.69 0.56

State how many peaks you would expect for the distribution described. -Sales of gloves in Boston over a one-year period

Answer the question. -Tell which of the following distributions would have the most variation.

Answer the question. -Tell which of the following distributions would have the most variation.