As the quality control manager at a raisin manufacturing and packaging plant you want to ensure that all the boxes of raisins you sell are comparable, with 30 raisins in each box. In the plant, raisins are poured into boxes until the box reaches its sale weight. To determine whether a similar number of raisins are poured into each box, you randomly sample 36 boxes about to leave the plant and count the number of raisins in each. You find the mean number of raisins in each box to be 29.86, with s = 3.87. (a) Perform the six steps of hypothesis testing to determine whether the average number of raisins per box differs from the expected 30.

Step 1: Populations, Distribution, and Assumptions

Test to be used (Explain): Single-Sample t Test

Population 1:

Population 2:

Distribution:

Assumptions (Explain):
1.
2.
3.

Step 2: Hypotheses
Research hypothesis:

Symbolic:

Null hypothesis:

Symbolic:

Step 3: Characteristics of the Comparison Distribution
μM =
sM =
M =
N =

Step 4: Critical Values
p level =

-tailed test

df =

t_Crtical=

Step 5: Calculate the test statistic (Be sure to show your work)
tstatistic =