All the questions are given in the attachment below. Please finish it as careful as possible. Explain each question how you make it ( including references if needed)This is one example:5.In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independent research firm has been charged with conducting a sample survey to obtain more current information.a. What sample size is needed if the research firms goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of .03? Use a 95% confidence level.b. Repeat part (a) using a 99% confidence level.
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Answer all questions. All work must be shown to qualify for partial credit.
Consumer Reports posts reviews and ratings of a variety of products on its website. The
following is a sample of 20 speaker systems and their ratings. The ratings are on a scale of 1 to 5, with 5
Infinity Kappa. 6.1
ACI Sapphire III
Bose 501 Series
Cambridge Ensemble II
Dynaudio Contour 1.3
Eosone RSF 1000
Hsu Rsch. HRSW 12V
Joseph Audio RM7 si
Legacy Audio Focus
Martin Logan Aerius
Omni Audio SA 12.3
Polk Audio RT 12
Snell Acoustics D IV
Sunfire True Subwoofer
Thiel CS 1.5
Yamaha NS- A636
Compute the mean and the median.
Compute the first and third quartiles.
Compute the standard deviation.
The skewness of this data is 1.67. Comment on the shape of the distribution.
What are the z-scores associated with Allison One and Omni Audio?
Do the data contain any outliers? Explain.
Fewer young people are driving. In 1983, 87% of 19-year-olds had a drivers license.
Twenty-five years later that percentage had dropped to 75% (University of Michigan Transportation
Research Institute Website, April 7, 2012). Suppose these results are based on a random sample of 1200
19-year-oldes in 1983 and again in 2008.
a. At 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old
drivers in 1983?
b. At 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old
drivers in 2008?
c. Is the margin of error the same in parts (a) and (b)? Why or why not?
Consumption of alcoholic beverages by young women of drinking age has been increasing in the
United Kingdom, the United States, and Europe (The Wall Street Journal, February 15, 2006). Data
(annual consumption in liters) consistent with the findings reported in The Wall Street Journal article are
shown for a sample of 20 European young women.
Assuming the population is roughly symmetric; construct a 95% confidence interval for the mean annual
consumption of alcoholic beverages by European young women.
Disneys Hannah Montana: The Movie opened on Easter weekend in April 2009. Over the threeday weekend, the movie became the number-one box office attraction (The Wall Street Journal, April
13, 2009. The ticket sales revenue in dollars for a sample of 25 theaters is as follows.
a. What is the 95% confidence interval estimate for the mean ticket sales revenue per theater?
Interpret this result.
b. Using the movie ticket price of $7.16 per ticket, what is the estimate of the mean number of
customers per theater?
c. The movie was shown in 3118 theaters. Estimate the total number of customers who saw
Hannah Montana: The Movie and the total box office ticket sales for the three day weekend.
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew
Research, June 5, 2014). An independent research firm has been charged with conducting a sample
survey to obtain more current information.
a. What sample size is needed if the research firms goal is to estimate the current proportion of homes
with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of .03?
Use a 95% confidence level.
b. Repeat part (a) using a 99% confidence level.
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