Question

In: Statistics and Probability

A health insurance broker records the monthly extended health and dental insurance premiums for 18 non-smoking...

A health insurance broker records the monthly extended health and dental insurance premiums for 18 non-smoking white-collar clients between the ages of 31 and 40 (measured in $):

48 130 66 96 147 65 131 105 112
139 61 47 131 51 95 60 99 95

T-Distribution Table

a. Calculate the sample mean and standard deviation.

x̄ = x̄ =

Round to the nearest cent

s=s=

Round to the nearest cent

b. Construct a 95% confidence interval for the mean monthly insurance premium for all non-smoking white-collar clients between the ages of 31 and 40.

  <  μ  <  <  μ  <  

Round to the nearest cent

Please provide correct answers. thanks

Solutions

Expert Solution

48 -45.22 2044.8484
139 45.78 2095.8084
130 36.78 1352.7684
61 -32.22 1038.1284
66 -27.22 740.9284
47 -46.22 2136.2884
96 2.78 7.7284
131 37.78 1427.3284
147 53.78 2892.2884
51 -42.22 1782.5284
65 -28.22 796.3684
95 1.78 3.1684
131 37.78 1427.3284
60 -33.22 1103.5684
105 11.78 138.7684
99 5.78 33.4084
112 18.78 352.6884
95 1.78 3.1684

Refer t-table or use excel function "=T.INV.2T(0.05,17)" to find the critical value of t.


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