Math 533 week 4 quiz

Week 4 Quiz

MATH 533 Utilized Managerial Statistics – DeVry

Question 1: environmental group at a neighborhood faculty is conducting unbiased assessments to search out out the hole a specific make off auto cell will journey whereas consuming only one gallon of gasoline. A sample of 5 vehicles is examined and a suggest of 28.2 miles is obtained. Assuming that the sample regular deviation is 2.7 miles, uncover the 95% confidence interval for the suggest distance travelled by all such vehicles using one gallon of gasoline.

Question 2: A random sample of dimension 30 from a conventional inhabitants yields  = 32.eight with a inhabitants regular deviation of 4.51. Assemble a 95% confidence interval for 

Question three: In a producing course of a random picture of 36 bolts manufactured has a suggest dimension of three inches with an everyday deviation of zero.three inches. What is the 99% confidence interval for the two suggest dimension of the bolt.

Question 4: A federal monetary establishment examiner is critical about estimating the suggest glorious defaulted loans stability of all defaulted loans over the last three years. A random sample of 20 defaulted loans yield a suggest of $67918 with an everyday deviation of $16552.40. calculate a 90% confidence interval for the suggest stability of defaulted loans over the earlier three years.

Question 5: Unoccupied seats on flights set off airline to lose earnings. Suppose an enormous airline must estimate its widespread number of unoccupied seats per flight over the earlier yr. 225 flight info are randomly chosen and the number of unoccupied seats is known with a sample suggest of 11.6 seats and an everyday deviation of 4.1 seats. What variety of flights should we select if we need to estimate m to inside 2 seats and be 95% assured.

Question 6: A espresso/soup machine on the native bus station is supposed to fill cups with 6 ounces of soup. 10 cups of soup launched with a outcomes of suggest of 5.93 ounces and an everyday deviation of zero.13 ounces. How large a sample of soups would we have to be 95% assured that the sample suggest is inside and 0.03 ounces of the inhabitants suggest?

Question 7: Not too way back, a case of meals poisoning was trace to a specific restaurant chain. The provision was acknowledged and corrective actions have been taken to make certain that the meals poisoning would not reoccur. Whatever the response of the restaurant chain, many patrons refused to go to the restaurant for sometime after the event. A survey was carried out three months after the meals poisoning occurred with a sample of 319 patterns associated. Of the 319 contacted, 29 indicated that they may not return to the restaurant as a result of potential of meals poisoning. Assemble a 95 % confidence interval for the true proportion of the market who nonetheless refuse to go to any of the consuming locations inside the chain three months after the event.

Question eight: The Ohio division of agriculture examined 203 gasoline samples all through the state in 1999 for accuracy of the reported octane diploma. For premium grade, 14 out of 105 samples failed (they did not meet ASPM specification and the FTC octane posting rule). Uncover a 99% confidence interval for the true inhabitants proportion of premium grade gasoline prime quality failures.

Question 9: Not too way back, a case of meals poisoning was trace to a specific restaurant chain. The provision was acknowledged and corrective actions have been taken to make certain that the meals poisoning would not reoccur. Whatever the response of the restaurant chain, many patrons refused to go to the restaurant for sometime after the event. A survey was carried out three months after the meals poisoning occurred with a sample of 319 patterns contacted. Of the 319 contacted, 29 indicated that they may not return to the restaurant as a result of potential of meals poisoning. What sample dimension might be needed in an effort to be 99% assured that the sample proportion is inside zero.02 of r, the true proportion of customers who refused to return to the restaurant.

Question 10: The Ohio division of agriculture examined 203 gasoline samples all through the state in 1999 for accuracy of the reported octane diploma. For premium grade, 14 out of 105 samples failed (they did not meet ASPM specification and the FTC octane posting rule). What variety of samples might be needed to create a 99% confidence interval that is inside zero.02 of the true proportion of premium grade gasoline prime quality failures.