Answer:
Step-by-step explanation:
The population average number of raisins per box is 30.
The type of statistical analysis to be run here is the inferential statistical analysis and its assumptions include normality, linearity and equality of variance.
Null hypothesis: Average number of raisins per box is 30: u = 30
Alternative hypothesis: Average number of raisins per box is not 30: u ≠ 30
To perform a two tailed single sample test, we have
z statistic = (the sample mean - hypothesized mean) / (SD/√n)
sample mean = 28.05, SD = 3.87 hypothesized mean = 30 n = 36
Thus, we have 28.05 - 30 / (3.87/√36)
= -1.95 / (3.87/6)
= -1.95 / 0.645
= -3.023
we say this is a left tailed test and use the negative z table
where -3.02 = 0.0013
To determine whether the average number of raisins per box differs from the expected 30.
Using p < 0.05, since the observed value 0.0013 is less than 0.05, we conclude the the average number of raisins per box differs from the expected 30.
