Question

In: Statistics and Probability

A commercial farm uses a machine that packages blueberries in ten pound portions. A sample of...

A commercial farm uses a machine that packages blueberries in ten pound portions. A sample of 95 packages of blueberries has a standard deviation of 0.22. Construct the 90% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine. Round your answers to two decimal places.

Solutions

Expert Solution

Solution :

Given that,

s = 0.22

s2 = 0.0484

n = 95

Degrees of freedom = df = n - 1 = 94

At 90% confidence level the 2 value is ,

2L = 2/2,df = 117.632

2R = 21 - /2,df = 72.640

The 90% confidence interval for is,

(n - 1)s2 / 2/2 < < (n - 1)s2 / 21 - /2

  94 * 0.0484 / 117.632 < < 94 * 0.0484 / 72.640

0.20 < < 0.25

(0.20 , 0.25)


Related Solutions

A commercial farm uses a machine that packages cauliflower in six pound portions. A sample of...
A commercial farm uses a machine that packages cauliflower in six pound portions. A sample of 71 packages of cauliflower has a variance of 0.28. Construct the 98% confidence interval to estimate the variance of the weights of the packages prepared by the machine. Round your answers to two decimal places. I need the lower and upper endpoints
A commercial farm uses a machine that packages carrots in twenty-two ounce portions. A sample of...
A commercial farm uses a machine that packages carrots in twenty-two ounce portions. A sample of 74 packages of carrots has a standard deviation of 0.38. Construct the 98% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine. Round your answers to two decimal places.
A butcher uses a machine that packages chicken livers in ten ounce portions. A sample of...
A butcher uses a machine that packages chicken livers in ten ounce portions. A sample of 9090 packages of chicken livers has a standard deviation of 0.380.38. Construct the 80%80% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine. Round your answers to two decimal places. Lower endpoint: ??? and Upper endpoint : ???
1. A meat packaging plant uses a machine that packages ground chuck in three-pound portions. a...
1. A meat packaging plant uses a machine that packages ground chuck in three-pound portions. a sample of 62 packages of the ground chuck has a variance of 0.10. construct a 98 percent confidence interval to estimate the variance fo the weights of the packages prepared by the machine. round answer to two decimal places. 2. The following sample of diameters was taken from 5 balls off the assembly line. Construct the 80% confidence interval for the population standard deviation...
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?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT