2023 08 Assignment 8 Assignment Directions Be sure to save an electronic copy of your | Assignments Online

  

       

[08] Assignment 8

Assignment

Directions: Be   sure to save an electronic copy of your answer before submitting it to   Ashworth College for grading. Unless otherwise stated, answer in complete   sentences, and be sure to use correct English, spelling, and grammar. Refer   to the “Assignment Format” page located on the Course Home Page for specific   format requirements.

NOTE: Show   your work in the problems.

1. In the following situations, indicate   whether you’d use the normal distribution, the tdistribution, or neither.

a. The population is normally distributed,   and you know the population standard deviation.
  b. You don’t know the population standard deviation, and the sample size is   35.
  c. The sample size is 22, and the population is normally distributed.
  d. The sample size is 12, and the population is not normally distributed.
  e. The sample size is 45, and you know the population standard deviation.

2. The prices of used books   at a large college bookstore are normally distributed. If a sample of 23 used   books from this store has a mean price of $27.50 with a standard deviation of   $6.75, use Table 10.1 in your textbook to calculate the following for a 95%   confidence level about the population mean. Be sure to show your work.

a. Degrees of freedom
  b. The critical value of t
  c. The margin of error
  d. The confidence interval for a 95% confidence level

3. Statistics students at a   state college compiled the following two-way table from a sample of randomly   selected students at their college:

   

Play chess

Don’t play chess

 

Male students

25

162

 

Female students

19

148

Answer the following   questions about the table. Be sure to show any calculations.

a. How many students in total were surveyed?
  b. How many of the students surveyed play chess?
  c. What question about the population of students at the state college would   this table attempt to answer?
  d. State Hº and Hª for the test related to this table.

4. Answer the following   questions about an ANOVA analysis involving three samples.

a. In this ANOVA analysis, what are we trying   to determine about the three populations they’re taken from?
  b. State the null and alternate hypotheses for a three-sample ANOVA   analysis.
  c. What sample statistics must be known to conduct an ANOVA analysis?
  d. In an ANOVA test, what does an F test   statistic lower than its critical value tell us about the three populations   we’re examining?