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 |
Here is your answer...
A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in...
A filling machine for a tea bag manufacturer produces approximately 170 teabags per minute. The process manager monitors the weight of the tea placed in individual bags. A sample of observations is taken in 10 consecutive time periods. The results are shown below: Sample 10 2 4 6 5.44 5.61 5.49 5.58 5.29 5.42 5.50 5.44 5.41 5.55 5.51 5.53 5.32 5.77 5.50 5.61 5.63 5.44 5.54 5.40 5.56 5.40 5.67 5.57 5.32 5.45 5.50 5.42 5.45 5.53 5.46 5.47...
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). a. Is there evidence that the mean amount of tea per bag is different from 5.5 grams? (Use alpha = 0.05.) ALSO STATE THE NULL AND ALTERNATIVE HYPOTHESIS: DETERMINE TEST STATISTIC: The test statistic is (Round to two decimal places as needed.) FIND THE P-VALUE: p-value = (Round to three decimal places as...
HUMEWUIK. ASSIYellow Clapely Score: 0 of 3 pts 11 of 13 (10 complete) 9.2.34-T The accompanying table contains data on the weight in grams of a sample of 50 tea bags produced during an eight hour shit Complete parts (a) through (d) Click the icon to view the data table a. Is there evidence that the mean amount of tea per bag is different from 55 grams (Use a 0 10 ) State the null and alternative hypotheses HOP- H,...
8.2.19-T The table below contains the overall miles per gallon (MPG) of a type of vehicle Complete parts a and b below 24 24 20 26 24 29 35 23 28 20 44 31 25 22 a. Construct a 95% confidence interval estimate for the population mean MPG for this type of vehicle, assuming a normal distribution The 95% confidence interval estimate is from (Round to one decimal place as needed) MPG to MPG 8.EOC.57-E Question Help A consulting firm...
8of 14 (11 complete) HW Sco 9.2.34-T on the weight,in grams, of a sample of 50 tea bags produced during an eight-hour shift Complete parts (a) hrough (d). EEE Click the icon to view the data table. State the null and alternative hypotheses Ho : 5.5 H H 55 Type integers or decimals.) Determine the test statistic The test statistic is 0.21 Round to two decimal places as needed.) Find the p-value. More Into Tea Bag Weight (in grams) 64...
A candy manufacturer claims that there is 13.1 grams of candy in a fun sized bag. The 23 random samples are shown in the picture. a.) Calculate the sample mean, the standard error, and sketch/label the distribution curve. b.) At the alpha level of 0.05, do these samples provide convincing evidence that fun sized bags are being sold under advertised weight? show the hypothesized test H sub o, alternative hypothesis H sub A, and p value. c.)What would be a...