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].

Solutions

Expert Solution

milcah answered 9 months ago

Next > < Previous

Related Solutions

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes...

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?

The probability that a randomly selected box of a certain type of cereal has a particular...

The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.2. Suppose you purchase box after box until you have obtained four of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? h(x; 4, 0.2) b(x; 4, 2, 10) nb(x; 4, 2, 10) b(x; 4, 0.2) h(x; 4, 2, 10) nb(x; 4, 0.2) (b) What is the probability that you purchase...

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...

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.

Company claims to fill cereal boxes on average with 24 oz. of cereal with a standard...

Company claims to fill cereal boxes on average with 24 oz. of cereal with a standard deviation of 2 oz. The company is satisfied if the average weight of cereal per box is within 0.6 oz. of the advertised weight. What is the probability that the company is not satisfied with the average weight of cereal based on a sample of 100 boxes?

1- A machine fills cereal boxes. A random sample of 6 boxes had a mean of...

1- A machine fills cereal boxes. A random sample of 6 boxes had a mean of 20.25 oz. The distribution is assumed to be NORMAL with KNOWN standard deviation of 0.21 oz. Find a 99% Confidence Interval UPPER LIMIT? Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38 2- A machine fills cereal boxes. A random sample of...

The amount of cereal in fifteen boxes of Brand A breakfast cereal were found to have...

The amount of cereal in fifteen boxes of Brand A breakfast cereal were found to have a mean of 14 ounces and a standard deviation of 0.76 ounces. Construct a 90% confidence interval for the true standard deviation of the amount of cereal in Brand A boxes of breakfast cereal. Interpret your results

Identify the sample and sample statistic - For 186 randomly selected babies, the average (mean) of...

Identify the sample and sample statistic - For 186 randomly selected babies, the average (mean) of their births weights is 3,103 grams (based on data from “Cognitive Outcomes of Preschool Children with Prenatal Cocaine Exposure.” By Singer et al., Journal of the American Association, Vol. 291, No 20). A) Sample-preschool children, statistic birth weights B) Sample-186 babies, statistic 3,103 grams C) Sample 186 babies, statistic Cocaine Exposure What are the absolute and relative errors? – The bakery menu claims that...

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 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.

Subjects