Questions:
1. Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Deanna decides to walk around the mall and select shoppers to participate. Which of the following sampling techniques best describes Deanna's method?
• A, Convenience
• B. Systematic
• C. Simple random
• D. stratified
2. The average weight of the entire batch of the boxes of cereal filled today was 20.15 ounces. A random sample of four boxes was selected with the following weights: 20.05, 20.56, 20.72, and 20.43. The sampling error for this sample is _______.
3. According to the National Retail Federation, women spent an average of $317 over a recent Black Friday weekend. Assume that the standard deviation for this population is $90. A random sample of 50 women shoppers over this weekend was selected.
What is the probability that the average amount spent on Black Friday weekend from this sample was more than $300? (round your answer to 2 decimal places)
4. According to the Labor Department, the average duration of unemployment for adults ages 20 to 24 was 34.6 weeks during a recent month. Assume that the standard deviation for this population is 10.2 weeks. A random sample of 36 adults in this age group was selected.
What is the probability that the average duration of unemployment was between 31 and 35 weeks? (round your answer to 4 decimal places)
5. A report by Capital Economics claims the average monthly mortgage payment in Chicago is $1,002. Assume that the standard deviation for monthly mortgage payments in Chicago is $168. A random sample of 55 homeowners in Chicago was selected and found to have an average monthly mortgage payment of $1,030.
Identify the lower bound of the symmetrical interval that includes 95% of the sample means if the true population mean is $1,002.
6. A report by Capital Economics claims the average monthly mortgage payment in Chicago is $1,002. Assume that the standard deviation for monthly mortgage payments in Chicago is $168. A random sample of 55 homeowners in Chicago was selected and found to have an average monthly mortgage payment of $1,030.
Identify the upper bound of the symmetrical interval that includes 95% of the sample means if the true population mean is $1,002.
7. A report by Capital Economics claims the average monthly mortgage payment in Chicago is $1,002. Assume that the standard deviation for monthly mortgage payments in Chicago is $168. A random sample of 55 homeowners in Chicago was selected and found to have an average monthly mortgage payment of $1,030.
Do the results of this survey support the report by Capital Economics? (hint: use the interval you constructed in the previous question and compare with the sample average.)
A. Yes
B. No
C. No answer text provided
8.The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100. Determine the interval of credit scores around the mean that includes approximately 68% of credit scores.
Lower bound:
Upper bound
9. The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100. Determine the interval of credit scores around the mean that includes approximately 95% of credit scores.
Lower bound:
Upper bound
10. Suppose the average weight for population of men is 178 pounds. You draw a random sample of 10 men and record the following weights:
150, 145, 180, 200, 175, 190, 142, 175, 240, 150.
Calculate the sampling error.