Question: For the following studies, identify the population, sample, parameters, and sample statistics. In an Accountemps survey of 150 senior executives, 47% said that the most

  1. For the following studies, identify the population, sample, parameters, and sample statistics.

In an Accountemps survey of 150 senior executives, 47% said that the most common job interview mistake is to have little or no knowledge of the company where the applicant is being interviewed.

  1. Describe how you would apply the five basic steps of a statistical study to the following issues. You want to determine what percentage of high school seniors regularly use a cell phone while driving.

  1. Identify the sampling method (simple random sampling, systematic sampling, convenience sampling, or stratified sampling) in the following studies. A study of the use of antidepressants selects 50 participants between the ages of 20 and 29, 50 participants between the ages 30 and 39, and 50 participants between the ages 40 and 49.

  1. Determine whether each of the following studies described is observational or an experiment. If the study is an experiment, identify the control and treatment groups, and discuss whether single - or double- blinding is necessary. If the study is observational, state whether it is a retrospective study, and if so, identify the cases and controls.

Using a survey of 1502 Americans, the Pew Research Center determined that 85% of Americans believe that the country is more politically divided than in the past and that those divisions will persist.

  1. What type of statistical study is most likely to lead to an answer to the following questions? If the study is an experiment, identify the control and treatment groups, and discuss whether single - or double - blinding is necessary. If the study is observational, state whether it is a retrospective study, and if so, identify the cases and controls. Over a period of many years, which National Basketball Association teams with high - altitude home courts have better records?

  1. The following summaries of statistical studies give a sample statistic and margin of error. Find the confidence interval and answer any additional questions.

A national survey by the Pew Research Center of 1521 respondents reached on land lines and cell phones found that 46% of adults favored legalized abortion. The margin of error was 3 percentage points. Is it reasonable to claim that a majority of Americans opposed legalized abortion (at the same time of the survey)? Explain.

  1. Determine whether the following variables are qualitative or quantitative and explain why.

Home prices in a small town.

  1. Use the given bin sizes to make a frequently table for the following data set:

89 6778 75 64 70 83 95 69 84

77 88 98 90 9268 86 79 60 96

Include columns for relative frequency and cumulative frequency.

Use 5 - point bins (95 to 99, 90 to 94, etc.).

  1. Construct pie charts for the following data sets.

The percentage of American mothers aged 40 to 44 with various numbers of children.

Number of children Percentage of mothers
1 22%
2 41%
3 24%
4 or more 13%

  1. The following frequency table shows ages of Academy Award - winning male actors through 2017 in 10 - year age bins. Draw a histogram to display the binned data.
Age

Number

of actors

20 - 29 1
30 - 39 31
40 - 49 38
50 - 59 13
60 - 69 6
70 - 79 1

  1. The following table gives the percentage of first - year college students who answered "None" when asked about their religious affiliation in selected years. Display the data as a time - series graph.
Year Percentage claiming no religious affiliation
1985 9.4%
1990 12.3%
1995 14.0%
2000 14.9%
2005 17.4%
2010 23.0%
2015 29.5%

  1. Compute the mean, median, and mode of the following data sets.

Actual times (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when 1 minute had passed:

53, 52, 75, 62, 68, 58, 49, 49

High cost cities
Manhattan, NY 77
San Francisco, CA 49
Washington, DC 49
Oakland, CA 48
Boston, MA 45
Seattle, WA 28
  1. The table below gives 2016 Cost of Living Index for six cities with a relatively high cost of living. The index is based on housing, utilities, grocery items, transportation, health care.

  1. Find the mean, median,, and range for the given data set.
  2. Give five - number summary and draw a boxplot for the data set.
  3. Find the standard deviation for the data set.
  4. Apply the range rule of thumb to estimate the standard deviation for the data set. How well does the rule work?

  1. A set of rest scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68 - 95 - 99.7 rule to find the percentage of scores of the following categories.
  2. Greater than 100
  3. Less than 80
  4. Greater than 120
  5. Greater than 80
  6. Less than 60
  7. Less than 140
  8. Less than 120
  9. Between 80 and 120

  1. The scores on a psychology exam were normally distributed with a mean of 67 and a standard deviation of 8.
  2. About what percentage of scores were less than 59?
  3. What is the standard score for an exam score of 79?

  1. Use Z score table (p 403) to find the standard score and percentile of the following data values.
  2. A data value 1 standard deviation below the mean.
  3. A data value 0.5 standard deviation below the mean.
  4. A data value 1.5 standard deviation above the mean.

  1. Use Z score table to find the approximate standard score of the following data values. Then state the approximate number of standard deviations that the value lies above or below the mean.
  2. A data value in the 30th percentile.
  3. A data value in the 70th percentile.
  4. A data value in the 55th percentile.

  1. A National Health Survey determined that the mean weight of a sample of 804 women ages 25 to 34 was 146 pounds, while the mean weight of a sample of 1657 women ages 65 to 74 was 134 pounds. The difference is significant at the 0.01 level. Interpret this result.

  1. Find the margin of error and the 95% confidence interval for the following studies. Briefly interpret the 95% confidence interval.

According to a Gallup poll of 1012 people, about one-third (32%) of Americans keep a dog for protection.

  1. Consider the following claims related to statistical studies.
  2. State the null and alternative hypotheses for a hypothesis test.
  3. Describe the two possible outcomes of the test, using the context of the given situation.

A college president claims that the six-year graduation rate at her four-year college is higher than the national average of 60%.

  1. Use the given context to formulate the null and alternative hypotheses. Then discuss whether the sample provides evidence for rejecting or not rejecting the null hypothesis.

A marketing company claims that the mean household income of HDTV owners across the population is greater than $50,000. A random sample of 1700 households with HDTVs shows that the mean household income is $51,182. Assuming that the true mean is $50,000, the likelihood of selecting a sample with a mean income of $51182 or more is 0.007.

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