It is recommended that pregnant woman over eighteen years old get 85 milligrams of vitamin c each day. The standard deviation of the population is estimated to be16 milligrams per day. A doctor is concerned that her pregnant patients are not getting enough vitamin c. So, she collects data on 35 of her patients and finds that the mean vitamin intake of these 35 patients is 82 milligrams per day. Based on a level of significance of a=.025, test the hypothesis.

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\fRange. We defined the range earlier as the span between the smallest value in the set and the largest. Range = Largest value Smallest Value Interquarte range: 1' QR = 03 - 01 The mean for a population is given by: 2 I: 252 '1 _ N _ 6 _ 42 where N is the size of the entire population. The sample mean is given by: _ 2x, 116,260 x _ n _ 20 _ 5313 where n is the sample size. Formula for the location of a specific percentile: . _ P I (m) 11 Where: i is the index p is the desired percentage n is the number of observations in the data set. Population variance formula: 2 thi \" r02 0' = N where N is the size of the entire population. Sample variance formula: 52 = 20:. - 2): n 1 where n is the sample size. Linear Regression: The equation of a line is given by: y = mx + in Where: m is the slope of the line. b is the y-intercept of the line. The best fit line may be calculated by: (/1 Hr. Cr" ll ~ 0.05, then Case 3 (see below} should be used. Case 2: Very large population and small sample size. (Sample size less than 30.) _ S _ S xt