Dick plays field hockey. He makes a goal 55% of the time he shoots. A = the event Dick is successful on his first goal attempt. P(A) = 0.55. B = the event Dick is successful on his second goal attempt. P(B) = 0.55. Dick tends to make goals in streaks. The probability that he makes a second goal given that he made the first goal is 0.80.   If Dick attempts two goals, what is the probability that he makes both goals?

Dick plays field hockey. He makes a goal 55% of the time he shoots. A = the event Dick is successful on his first goal attempt. P(A) = 0.55. B = the event Dick is successful on his second goal attempt. P(B) = 0.55. Dick tends to make goals in streaks. The probability that he makes a second goal given that he made the first goal is 0.80. Which of the following is true about A and B?

118 students were asked what type of color their bedrooms were painted: white, brown or red. The results were tabulated according to gender. Bedroom Color by Gender   White Brown Red Female 20 22 28 Male 10 30   8   What is the probability that a randomly chosen student is male or has a bedroom painted white?

It is believed that stretching 15 minutes before exercising will reduce recovery time after running the mile. Researchers would like to compare the effects of stretching on recovery time. 50 randomly selected students have been chosen for your experiment. Explain how you would carry out a completely randomized experiment for the study. It’s believed that age plays a role in recovery time. Incorporate blocking in part (1) to improve this experiment.

118 students were asked what type of color their bedrooms were painted: white, brown or red. The results were tabulated according to gender. Bedroom Color by Gender   White Brown Red Female 20 22 28 Male 10 30   8   What is the probability that a randomly chosen student is male given the student’s bedroom is painted brown?

Alzheimer’s disease results in a loss of cognitive ability beyond what is expected with typical aging. A local newspaper published an article with the following headline. Study Finds Strong Association Between Smoking and Alzheimer’s The article reported that a study tracked the medical histories of 21,123 men and women for 23 years.  The article stated that, for those who smoked at least two packs of cigarettes a day, the risk of developing Alzheimer’s disease was 2.57 times the risk for those who did not smoke. Identify the explanatory and response variables in the study. Is the study described in the article an observational study or an experiment? Explain

The following are the number of prizes won by 12 customers at a local grocery store contest. {0, 4, 5, 5, 5, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 11, 11} Find the mean Find the 5# summary Draw a modified boxplot Describe the distribution

According to the National Conference of State Legislature (www.ncsl.org), the following are the unemployment rates for the 24 states west of the Mississippi in August, 2014: Unemployment rates for the 24 states west of the Mississippi in August, 2014 6.8 7.1 6.3 7.4 5.1 4.3 4.7 4.5 4.9 5.8 4.3 6.3 4.7 3.6 7.6 6.7 2.8 4.7 7.2 3.6 5.3 3.6 5.6 4.6 What is the 5-number summary for this data?

Independent random samples of 500 households were taken from a large metropolitan area in the United States for the years 1950 and 2000. Histograms of household size (number of people in a household) for the years are shown below.   Compare the distributions of household size in the metropolitan area for the years 1950 and 2000. Histogram A starts at 1 and ends at 14 on the x axis, “Household size in 1950”. At 1 the frequency is low and increases until it peaks at 4 then decreases until it reaches 14.Histogram B starts at 1 and ends at 12 on the x axis, “Household size in 2000”. At 1 the frequency is medium, at 60, and then increases to a peak at 2, dips at 3, then reaches the peak value again at 4. Then it decreases until it reaches the lowest point at 12.   

The noon sun is directly overhead at the equator