Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. N
ID: 2947353 • Letter: B
Question
Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag. Assume net weights are Normally distributed. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H0: ? = 14, Ha: ?< 14.
To do this, he selects 16 bags of tortilla chips of this brand at random and determines the net weight of each.
He finds a sample mean of 13.88 oz with a standard deviation of s = 0.24 oz.
Determine which of the following statements regarding the decision the representative would make is true.
A.
He would reject H0 at a significance level of 0.05.
B.
He would reject H0 at a significance level of 0.025.
C.
He would reject H0 at a significance level of 0.01.
D.
He would not reject H0 at a significance level of 0.05.
(D is incorrect)
A.
He would reject H0 at a significance level of 0.05.
B.
He would reject H0 at a significance level of 0.025.
C.
He would reject H0 at a significance level of 0.01.
D.
He would not reject H0 at a significance level of 0.05.
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 14
HA : ? < 14
Hypothesis test results:
Hence,
He would reject H0 at a significance level of 0.05.
Option A is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value ? 13.88 0.06 15 -2 0.032Related Questions
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