Question

In: Statistics and Probability

Asking for Directions (Married couples) Researchers collected data on how long it took in minutes for...

  1. Asking for Directions (Married couples) Researchers collected data on how long it took in minutes for particular spouses to ask for directions when lost. The list below has how long it took in minutes to ask for directions.

Wife                      4              6              8              10           2

Husband              14           9              13           16           32

Construct a 95% confidence interval estimate of the mean of the differences between spouses asking for directions. Use the confidence interval to test the claim that men are more likely to ask for directions (hint: what does that mean in terms of your difference). Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. In addition to constructing the confidence interval, also test using the critical value method.

  1. What distribution are you going to be using?
    1. Standard Normal Distribution
    2. Student t Distribution
    3. Chi-square Distribution
    4. None of the above
  2. Test the claim using the critical value method (you’ll need to construct a hypothesis test, show your work, all the same steps) provide everything necessary to test a hypothesis.
  3. Now test the claim using a confidence Interval, (you’ll need to calculate the Margin of Error, and interpret)
  4. Now state the non-technical conclusion
  5. In most of the above confidence and hypothesis testing, the test statistic and calculations require which of the following:
    1. The data comes from a normal distributed population
    2. The sample is a simple random sample
    3. The sample size is greater than 40, (n>40)
    4. a and b
    5. None of the above

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Expert Solution

orchestra answered 2 years ago
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