One of the characteristics of a credit card is the average outstanding balance. A group of researchers wants to estimate the average outstanding balance using a randomly selected sample of 31 customers. The average monthly balance of the sample is calculated as $2614.49. Construct and interpret a 97% confidence interval for the average outstanding balance on a credit card assuming that the population standard deviation is $2871.4. i. Procedure: One mean Z procedure ii. Assumptions: (select everything that applies) Population standard deviation is unknown Sample size is greater than 30 ✔Simple random sample Population standard deviation is known Normal population The number of positive and negative responses are both greater than 10 iii. Unknown parameter: [u, population mean iv. Point estimate: Select an answer Select an answer sample proportion, sample mean, X sample variance, s² v. Confidence level 0 % and a also , and 1 2 2 • Critical values: (Round the answer to 2 decimal places) ▪ left- right- Part 2 of 5 dollars (Round the answer to 2 decimal places)

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Question 11
One of the characteristics of a credit card is the average outstanding balance. A group of researchers wants
to estimate the average outstanding balance using a randomly selected sample of 31 customers. The
average monthly balance of the sample is calculated as $2614.49. Construct and interpret a 97% confidence
interval for the average outstanding balance on a credit card assuming that the population standard
deviation is $2871.4.
i. Procedure: One mean Z procedure
ii. Assumptions: (select everything that applies)
Population standard deviation is unknown
✔Sample size is greater than 30
✔Simple random sample
✔Population standard deviation is known
O Normal population
The number of positive and negative responses are both greater than 10
iii. Unknown parameter: [u, population mean
iv. Point estimate: Select an answer
Select an answer
sample proportion, p
sample mean, X
sample variance, s²
0
v. Confidence level
% and a
α
α
and 1
2
2
• Critical values: (Round the answer to 2 decimal places)
left=
right=
also
Part 2 of 5
dollars (Round the answer to 2 decimal places)
Transcribed Image Text:Question 11 One of the characteristics of a credit card is the average outstanding balance. A group of researchers wants to estimate the average outstanding balance using a randomly selected sample of 31 customers. The average monthly balance of the sample is calculated as $2614.49. Construct and interpret a 97% confidence interval for the average outstanding balance on a credit card assuming that the population standard deviation is $2871.4. i. Procedure: One mean Z procedure ii. Assumptions: (select everything that applies) Population standard deviation is unknown ✔Sample size is greater than 30 ✔Simple random sample ✔Population standard deviation is known O Normal population The number of positive and negative responses are both greater than 10 iii. Unknown parameter: [u, population mean iv. Point estimate: Select an answer Select an answer sample proportion, p sample mean, X sample variance, s² 0 v. Confidence level % and a α α and 1 2 2 • Critical values: (Round the answer to 2 decimal places) left= right= also Part 2 of 5 dollars (Round the answer to 2 decimal places)
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