During the nutrition research, the amount of consumed kilocalories per day was measured for 18 people – 10 women and 8 men. Results are as follows:
Women: 1646, 1921, 1990, 1802, 1943, 1606, 1706, 1928, 1645, 1640;
Men: 2287, 2057, 2206, 1978, 2215, 2344, 2081, 2088.
Calculate a 99% confidence interval on the mean for women and men separately. Assume distribution to be normal.
Round your answers to the nearest integer (e.g. 9876).
The mean for women is . The mean for men is .
Using the formula for standard deviation we can find: for women , for men .
For the normal distribution it is known that confidence intervals can be expressed like , where z multiplier comes from values of standard normal distribution that separate the middle N% from the outer (100-N)%. In our case we need 99% confidence interval. z-value for it is 2.57583.
For women: .
For men: .
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