qnt 561 week four

User Generated

tngbezna67

Mathematics

Description

Purpose of Assignment

The purpose of the assignment is to develop students' abilities in using datasets to apply the concepts of sampling distributions and confidence intervals to make management decisions.

Assignment Steps

Resources: Microsoft Excel®, The Payment Time Case Study, The Payment Time Case Data Set (Please create a text box for each within Microsoft Excel to complete this objective)

Review the Payment Time Case Study and Data Set.

Develop a summary in the text boxes including the following calculations and using the information to determine whether the new billing system has reduced the mean bill payment time:

  • Assuming the standard deviation of the payment times for all payments is 4.2 days, construct a 95% confidence interval estimate to determine whether the new billing system was effective. State the interpretation of 95% confidence interval and state whether or not the billing system was effective.
  • Using the 95% confidence interval, can we be 95% confident that µ ≤ 19.5 days?
  • Using the 99% confidence interval, can we be 99% confident that µ ≤ 19.5 days?
  • If the population mean payment time is 19.5 days, what is the probability of observing a sample mean payment time of 65 invoices less than or equal to 18.1077 days?

Click the Assignment Files tab to submit your Microsoft Excel data spreadsheet assignment.

3 days ago

done seen

Unformatted Attachment Preview

PayTime 22 19 16 18 13 16 29 17 15 23 18 21 16 10 16 22 17 25 15 21 20 16 15 19 18 15 22 16 24 20 17 14 14 19 15 27 12 17 25 13 17 16 13 18 19 18 14 17 17 12 23 24 18 16 16 20 15 24 17 21 15 14 19 26 21
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Explanation & Answer

Hey! There you go. All the best

PayTime
22
19
16
18
13
16
29
17
15
23
18
21
16
10
16
22
17
25
15
21
20
16
15
19
18
15
22
16
24
20
17
14
14
19
15
27
12
17
25
13
17
16
13

a.

95% confidence interval
Confidence interval – mean
95%
18.1077
4.2
65
1.96
1.02
17.09
19.13

b.

confidence level
Mean
std. dev.
N
Z
margin of error
lower confidence limit
upper confidence limit

...


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