Answer:
a) Null hypothesis:
b) Alternative hypothesis:
c)
d)
e) Since the p value is almost 0 we have enough evidence to reject the null hypothesis at the significance level of 0.05
f) Since we reject the null hypothesis we have enough evidence to conclude the true mean is significantly less than 24 ounces
Step-by-step explanation:
Information provided
represent the sample mean for the weigth in ounces
represent the standard deviation
sample size
represent the value to verify
represent the significance level
t would represent the statistic
represent the p value
Part a
For this case the null hypothesis is:
Null hypothesis:
Part b
And the alternative would be given by the claim:
Alternative hypothesis:
Part c
We don't know the population deviation so then the statistic would be given by:
(1)
And replacing the data given we got:
Part d
The degrees of freedom are given by:
And the p value for this case would be:
Part e
Since the p value is almost 0 we have enough evidence to reject the null hypothesis at the significance level of 0.05
Part f
Since we reject the null hypothesis we have enough evidence to conclude the true mean is significantly less than 24 ounces