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The purpose of this study is to compare averages from two populations. Directions: In this activity, you will use the t technique. t for two

The purpose of this study is to compare averages from two populations.

Directions: In this activity, you will use the t technique. t for two samples or t for matched pairs.

Idea: Does the distance from Amazon's headquarter building affect the monthly rent? Use the Seattle Rentals data to see if the average listed rent for apartments near the headquarter building is greater than for apartments further away.

Instructions

From the data set, give the quantitative variable and the group variable.

By using Excel, find the mean, standard deviation, and sample size for each group.

Give an appropriate plot to compare groups.

Data set

Rent Near the Building?
815 0
1150 1
1195 1
2200 1
1500 1
1550 1
1895 1
2395 0
1950 0
1995 1
3100 1
925 1
950 1
1000 0
1125 1
1170 0
1250 0
1335 0
1355 0
1399 0
1250 0

Problems:

  1. Give the summary statistics or a graphical display of your sampled data.
  2. Provide the null and alternative hypotheses.
  3. Does the sample represent the population of interest?
  4. Show whether the sample size conditions are met.
  5. Provide the test statistic. Show work.
  6. What is the p-value? Is it one or two sided?
  7. Find a 95% confidence interval for your parameter of interest. Show work.
  8. Provide a four-part conclusion describing the results. Your alpha is 0.05.

Give a statement in terms of the alternative hypothesis.

State whether (or not) to reject the null.

Find an interpretation of the point and interval estimate.

Provide context.

(Include everything above)

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