Question

A quality characteristic of interest for a​ tea-bag-filling process is the weight of the tea in the individual bags. The label weight on the package indicates that the mean amount is 5.64 grams of tea in a bag. Problems arise if the bags are underfilled or if the mean amount of tea in a bag exceeds the label weight. The accompanying data are the​ weights, in​ grams, of a sample of 50 tea bags produced in one hour by a single machine. Complete parts​ (a) through​ (c) below.

a. Construct a 99​% confidence interval estimate for the population mean weight of the tea bags.
​(Round to two decimal places as​ needed.)
b. Is the company meeting the requirement set forth on the label that the mean amount of tea in a bag is 5.64 ​grams?
The company  is or is not  meeting the requirement set forth on the label that the mean amount of tea in a bag is 5.64 ​grams, since 5.64 is or is not contained within the interval.
c. Do you think the assumption needed to construct the confidence interval estimate in​ (a) is​ valid?
The assumption needed to construct the confidence interval estimate in​ (a) is that
▼
the weights are uniformly distributed.
the sample standard deviation is equal to the population standard deviation.
the weights are normally distributed.
at least five tea bags are below the target.
This assumption
▼
can
cannot
be considered​ valid, based on
▼
the boxplot and normal probability plot.
information provided in the problem statement.

Tea Bags
5.37
5.43
5.46
5.46
5.47
5.5
5.53
5.53
5.52
5.57
5.56
5.58
5.6
5.58
5.58
5.57
5.59
5.61
5.59
5.62
5.63
5.65
5.63
5.65
5.66
5.66
5.66
5.69
5.66
5.67
5.68
5.69
5.68
5.68
5.72
5.68
5.73
5.71
5.7
5.73
5.71
5.72
5.75
5.75
5.76
5.76
5.78
5.8
5.8
5.93

Answer 1

Here is your answer...
Given mean 649ms Fov anexpenmental data- Given'ih talole tta nmean caluulalrd LA LMTIT+43+5.4 C+S46+ S44.45334sS3+5-52+S-3 3-1458 SS55345S7+ S940-1 + S-59+ S-62 +563+5 r+53 S 6५०४ Given mtan ot a910 avel Now tov coutidenc utval SE- S = o 10791 6 0-010 11 o 107116 SE = for 44 tanfidence lovel 2-76 s903 376x0 01611 CI-6403t0329

at the contidence of mterva meeting the requivement o s649ms we see That 7t is Yes Hhe assumptn made on ca) for nantin the contidena i valid in aceordance to Plot table