A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: H0: μ = 25 miles vs. H1: μ ≠ 25 miles, a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10, produced a mean of 22.8 miles weekly. What is the rejection region associated with 3% significance level?

The calculated value |Z|  = 1.325  < 1.881 at 0.03 level of significance

Null hypothesis is accepted

Alternative hypothesis is rejected

A researcher wants to study the average miles run per day for marathon runners is 25

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 36

Given mean of the sample x⁻ = 22.8 miles

Given mean of the Population 'μ' = 25

Given standard deviation of the Population 'σ' = 10

Null hypothesis:-H₀: μ = 25

Alternative Hypothesis:H₁:μ ≠ 25

Level of significance  = 3 % or 97%

The critical value  Z₀.₉₇ = 1.881

Step(ii):-

Test statistic

          Z = -1.325

       |Z| = |-1.325| = 1.325

The calculated value |Z|  = 1.325  < 1.881 at 0.03 level of significance

Null hypothesis is accepted

Alternative hypothesis is rejected

conclusion:-

A researcher wants to study the average miles run per day for marathon runners is 25

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.