Assessment – Module 4 Directions: Complete these questions and submit to the correct Assignments folder on...

Assessment – Module 4

Directions: Complete these questions and submit to the correct Assignments folder on D2L. Please upload as a Word document (.docx) or a .pdf.
You can print this and write in the space provided, type your answers here, or write answers on a separate sheet of paper and upload photos. If you upload photos, please put page numbers on your pages and make sure the photos aren’t blurry.
Note: Sometimes the book isn’t so good at giving examples, so you are allowed to discuss this on the discussion forum, work with other people, or ask me for help.

1. The table below gives selling prices for 24 houses in the fictional SE Portland neighborhood of Westsellstock in July 2016. (Numbers are in thousands of dollars.)
315
310
314
337
288
292
277
267
336
361
169
339
295
318
271
241
288
241
345
321
340
306
228
314

   •   Find the mean and standard deviation of the prices of these 24 houses.
   •   What conditions and assumptions do you need to check to create a confidence interval for the mean price of houses in Westsellstock?
   •   To create a 95% confidence interval, we need to know the value of t* for a sample this size. What is that value? (Looking it up in a table is the easiest.)
   •   Create the 95% confidence interval. (It’s okay if the conditions aren’t met.)
   •   Interpret the interval with a sentence. (Be sure your sentence includes the context of this situation, so it should be about house prices.)

2. A consumer advocate wants to collect a sample of jelly jars and measure the actual weight of the product in the container. He needs to collect enough data to construct a confidence interval with a margin of error of no more than 2.5 grams with 99% confidence. The standard deviation of these jars is usually 3 grams. What do you recommend for his sample size?

3.   The heights of women in the fictional country of Rohkia follow a Normal distribution. You’d like to perform a hypothesis test to see if the average height of Rohkian women is significantly more than 61 inches.
   You select 8 women at random and measure their heights (in inches), which are recorded in the table below.
61
61
62
64
67
63
64
62

a.   Find the mean and standard deviation of the heights in the sample. Use the correct symbols for this sample data.
b.   Write hypotheses to test whether the population height is over 61 inches.
c.   Perform the calculations for the test. Please report the value of test statistic (t) and the p-value.
d.   Can we conclude the mean height of Rohkian women is significantly greater than 61 inches? Explain why or why not. (Use α = 0.05)

Expert Solution

orchestra answered 2 years ago

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