Question
1. Jennifer's manager Dr. Jonathan Steinberg, who has degrees and publications in both mathematical statistics and medical science, asked her to find estimates of the
1. Jennifer's manager Dr. Jonathan Steinberg, who has degrees and publications in both mathematical statistics and medical science, asked her to find estimates of the average dental claim reimbursement for 2021. As Healthy Life has many thousands of clients it is virtually impossible to calculate the population mean. Using the Excel Random Number Generator function, Jennifer found a random sample of 50 dental claims submitted to Healthy Life. The amounts covered by insurance you can see in the Major Assignment Data file. Please help Jennifer Nguyen to construct 90%, 95%, and 99% confidence intervals for the true average reimbursement. Make sure that t-distribution is applicable: build a histogram with the bin values, for example, $100, $200, $300, $400, and $500, and check whether it is approximately symmetric and bell-shaped. Then, use Descriptive Statistics function from Data Analysis. Constructing confidence intervals, please round values to two decimal places.
Problem 1. | ||
Dental Claim Number | Amount Covered | |
1 | $192.75 | |
2 | $192.75 | |
3 | $350.25 | |
4 | $200.00 | |
5 | $225.00 | |
6 | $95.00 | |
7 | $375.50 | |
8 | $380.00 | |
9 | $192.75 | |
10 | $400.00 | |
11 | $230.00 | |
12 | $245.00 | |
13 | $150.00 | |
14 | $250.00 | |
15 | $250.00 | |
16 | $340.00 | |
17 | $225.50 | |
18 | $156.25 | |
19 | $300.00 | |
20 | $350.00 | |
21 | $435.00 | |
22 | $192.75 | |
23 | $192.75 | |
24 | $250.00 | |
25 | $225.00 | |
26 | $230.00 | |
27 | $245.00 | |
28 | $250.00 | |
29 | $250.00 | |
30 | $250.00 | |
31 | $350.00 | |
32 | $98.00 | |
33 | $405.00 | |
34 | $295.00 | |
35 | $205.00 | |
36 | $230.00 | |
37 | $245.00 | |
38 | $750.00 | |
39 | $250.00 | |
40 | $250.00 | |
41 | $340.00 | |
42 | $225.50 | |
43 | $192.75 | |
44 | $192.75 | |
45 | $250.00 | |
46 | $225.00 | |
47 | $350.00 | |
48 | $250.00 | |
49 | $250.00 | |
50 | $340.00 |
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