Q1. Does an average box of cereal contain 368 grams of cereal? A random sample of...

Q1. Does an average box of cereal contain 368 grams of cereal? A random sample of 36 boxes had a mean of 372.5 and a standard deviation of 12 grams. Test at the .05 level of significance.

Solutions

Expert Solution

Null hypothesis

Alternative hypothesis

We have for given sample,
Population mean for given sample=368
Sample mean=372.5
Sample standard deviation s=12
Sample size =n=   36

Degree of freedom = n-1 =35



t test statistic formula is

P value = 0.0308................by using Excel command TDIST(2.25,35,2)

P value is = 0.0308 < 0.05

Therefore, we reject H0 at

milcah answered 6 months ago

Next > < Previous

Related Solutions

Scenario 3: Cereal Boxes ~ A large box of corn flakes claims to contain 510 grams...

Scenario 3: Cereal Boxes ~ A large box of corn flakes claims to contain 510 grams of cereal. Since cereal boxes must contain at least as much product as their packaging claims, the machine that fills the boxes is set to put 513 grams in each box. The machine has a known standard deviation of 3 grams and the distribution of fills is known to be normal. At random intervals throughout the day, workers sample 5 boxes and weigh the...

In a cereal box filling factory a randomly selected sample of 16 boxes have an average...

In a cereal box filling factory a randomly selected sample of 16 boxes have an average weight of 470 g with a standard deviation of 15g. The weights are normally distributed. Compute the 90% confidence interval for the weight of a randomly selected box. [I think I can compute the confidence interval but I'm being thrown off by the "randomly-selected box" requirement].

Does an average pack of banana bread cookies weighs 40 grams? A random sample of 35...

Does an average pack of banana bread cookies weighs 40 grams? A random sample of 35 boxes showed a mean of 41.95 grams. The company has specified the population standard deviation to be 5 grams. Test at the 0.10 level of significance. *

A single random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected.

Question 1 A single random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.295 gram and a standard deviation of 0.168 gram. The amount of sugar in all cereals is assumed to be normally distributed. Construct a 95% confidence interval estimate of the population mean. Degrees of freedom = ...

A 1-ounce serving of a certain breakfast cereal is supposed to contain 9 grams of psyllium,...

A 1-ounce serving of a certain breakfast cereal is supposed to contain 9 grams of psyllium, a high fiber food product that may be beneficial in lowering cholesterol levels. Twenty-four servings were analyzed for the amount of psyllium, and the sample standard deviation was 0.52. Construct a 90% confidence interval for the true standard deviation of the amount of psyllium per serving of this cereal. Write a sentence summarizing your results.

K-Log produces cereals that are sold in boxes labeled to contain 390 grams. If the cereal...

K-Log produces cereals that are sold in boxes labeled to contain 390 grams. If the cereal content is below 390 grams, K-Log may invite auditor’s scrutiny. Filling much more than 390 grams costs the company since it essentially means giving away more of the product. Accordingly, K-Log has set specification limits at 400 10 grams for the weight of cereal boxes. Currently a filling machine fills the boxes. The boxes weigh on average 380 grams with a standard deviation of...

A random sample of 80 baby boys, show they weighed 3000 grams on average with a...

A random sample of 80 baby boys, show they weighed 3000 grams on average with a standard deviation of 100, at birth. While a random sample of 60 baby girls show they weighed 2800 grams on average with a standard deviation of 70. In order to test the hypothesis that if baby boys and girls weights have the same variance or not, what is the value of test statistic? A) 2.041 B) 0.490 C) 0.7 D) 1.429

QUESTION 1 A sample of weights of 50 boxes of cereal yield a sample average of...

QUESTION 1 A sample of weights of 50 boxes of cereal yield a sample average of 17 ounces. What would be the margin of error for a 90% CI of the average weight of all such boxes if the population deviation is 0.48 ounces? Round to the nearest hundredth QUESTION 2 A sample of heights of 117 American men yields a sample average of 57.04 inches. What would be the margin of error for a 95.44% CI of the average...

In a random sample of 35 boxes of cereal, the mean volume was 24.03 ounces. The...

In a random sample of 35 boxes of cereal, the mean volume was 24.03 ounces. The population standard deviation of the volume is known to be 0.005 ounces. Explain which distribution and which formula(s) you would use to construct a confidence interval for the population mean.

The weights of a random sample of cereal boxes that are supposed to weigh 1 pound...

The weights of a random sample of cereal boxes that are supposed to weigh 1 pound are given below. Estimate the standard deviation of the entire population with 91.5% confidence. Assume the population is normally distributed. 1.03, 0.99, 1.03, 1.03, 1.04, 1.03, 0.95, 1.01 LCL = UCL =

Subjects