Mathematics

Larry Allen

3 April, 13:22

For problems 2-3: data were collected on the contents of 1-kilogram sugar packets of brands 1 and 2. assume contents are normally distributed. let and be the true average and standard deviation of contents for brand ( = 1, 2). data summaries are given below. data summary brand 1: = 16, ̅ = 1.053, = 0.058 brand 2: = 16, ̅ = 1.071, = 0.062 2. we would like to determine if there is evidence that brand 1 has a lower average content that brand 2. what hypothesis test will we conduct?

a. : - = 0 versus : - ≠ 0

b. : - = 0 versus : - > 0

c. : - < 0 versus : - = 0

d. : - = 0 versus : - < 0 3. what is the value of the test statistic for testing : = ?

a. 0.9355

b. 0.8751

c. - 0.018

d. - 0.848