The accompanying table contains data on the​ weight, in​ grams, of a sample of 50 tea bags produced during an​ eight-hou

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The accompanying table contains data on the​ weight, in​
grams, of a sample of 50 tea bags produced during an​ eight-hour
shift. Complete parts​ (a) through​ (d).
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5.63
5.45
5.41
5.41
5.52
5.32
5.54
5.45
5.54
5.42
5.56
5.38
5.55
5.56
5.56
5.62
5.56
5.48
5.44
5.51
5.47
5.42
5.48
5.63
5.54
5.34
5.67
5.27
5.51
5.55
5.76
5.57
5.43
5.57
5.59
5.49
5.33
5.51
5.53
5.57
5.62
5.45
5.43
5.25
5.55
5.63
5.51
5.58
5.68
5.36
Question content area bottom
Part 1
.
Part 2
Determine the test statistic.
The test statistic is
enter your response here
.
​(Round to two decimal places as​ needed.)
Part 3
Find the​ p-value.
​p-value
=
enter your response here
​(Round to three decimal places as​
needed.)
Part 4
State the conclusion.
▼
Do not reject
Reject
H0. There is
▼
sufficient
insufficient
evidence to conclude that the mean difference is not
equal to
5.5 inches.
Part 5
b. Construct a 90​% confidence interval estimate of the
population mean amount of tea per bag. Interpret this
interval.
The 90​% confidence interval is
enter your response here ≤ μ ≤ enter your response
here
.
​(Round to four decimal places as​ needed.)
Part 6
Interpret the
90​% confidence interval. Choose the correct answer
below.
A. Do not reject H0 because the hypothesized mean is
contained within the confidence interval.
B.Reject H0 because the hypothesized mean is contained
within the confidence interval.
C.Reject H0 because the hypothesized mean is not
contained within the confidence interval.
D.Do not reject H0 because the hypothesized mean is not
contained within the confidence interval.
Part 7
c. Compare the conclusions reached in​ (a) and​ (b).
Choose the correct answer below.
A.The confidence interval and hypothesis test both show
that there is sufficient evidence that the mean amount of tea per
bag is different from 5.5 grams.
B.The confidence interval shows sufficient evidence
while the hypothesis test shows insufficient evidence that the mean
amount of tea per bag is different from
5.5 grams.
C.The confidence interval shows insufficient evidence
while the hypothesis test shows sufficient evidence that the mean
amount of tea per bag is different from
5.5 grams.
D.The confidence interval and hypothesis test both show
that there is
insufficient evidence that the mean amount of tea per
bag is different from
5.5 grams.