In: Statistics and Probability
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
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.