Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully...

Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully loaded is 5,850 pounds and the standard deviation is 280 pounds. Assume that the population follows the normal distribution. Fifty trucks are randomly selected and weighed.

Within what limits will 95 percent of the sample means occur?

Solutions

Expert Solution

Solution :

Given that,

= 5850

= 280

n = 50

= 5850 and

= / n = 280 / 50 = 39.6

Using Empirical rule,

P( - 2 < X < + 2 ) = 95%

P(5850 - 2 * 39.6 < X < 5850 + 2 * 39.6) = 95%

P(5770.8 < X < 5929.2) = 95%

Limits are : 5770.8 and 5929.2

milcah answered 3 hours ago

Next > < Previous

Related Solutions

Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully...

Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully loaded is 5,650 pounds and the standard deviation is 240 pounds. Assume that the population follows the normal distribution. Forty-five trucks are randomly selected and weighed. Within what limits will 90% of the sample means occur? (Round your z-value to 2 decimal places and final answers to 1 decimal place.) Sample means _______ to _______

Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully...

Crossett Trucking Company claims that the mean weight of its delivery trucks when they are fully loaded is 5,300 pounds and the standard deviation is 170 pounds. Assume that the population follows the normal distribution. Thirty trucks are randomly selected and weighed. Within what limits will 99 percent of the sample means occur? (Round your z-value to 2 decimal places and final answers to 1 decimal place.) Sample means ____ to _____

The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are...

The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 3000 kg and the standard deviation is 79 kg. Assume that the population follows the normal distribution. Forty trucks are randomly selected and their masses measured. Within what limits will 95% of the sample means occur? (Round the final answers to the nearest whole number.) Sample means

The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are...

The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2550 kg and the standard deviation is 63 kg. Assume that the population follows the normal distribution. Forty trucks are randomly selected and their masses measured. Within what limits will 98% of the sample means occur? (Round the final answers to the nearest whole number.) Sample means to

2) A cereal company claims that the mean weight of the cereal in its packets is...

2) A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 Test the claim at the 0.01 significance level. using it ti-84 calculator please stpe by step

A cereal company claims that the mean weight of the cereal in its boxes is 14.8...

A cereal company claims that the mean weight of the cereal in its boxes is 14.8 oz. The weights (in ounces) of the cereal in a random sample of eight of its cereal boxes are listed below: 14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2 Test the claim at the 0.01 significance level. Use the t test for the hypothesis of the mean.

This is a hypothesis test problem................ The Smoky Bear Trucking Company claims that the average weight...

This is a hypothesis test problem................ The Smoky Bear Trucking Company claims that the average weight of a fully loaded moving van is 12,000 lbs. The highway patrol decides to check this claim. A random sample of 30 Smoky Bear moving vans shows that the average weight is 12,100 lbs, with a standard deviation of 800 lbs. Construct a hypothesis test to determine whether the average weight of a Smoky Bear moving van is more than 12, 000 lbs. Use...

Grumpy Trucking manufactures trucks and currently produces all of the required parts for its trucks internally....

Grumpy Trucking manufactures trucks and currently produces all of the required parts for its trucks internally. Grumpy has received an offer from an external vendor to supply all of the axles for Grumpy’s trucks at a cost of $5,000 per axle. The following information relates to Grumpy’s axle production: Production 2,000 axles Variable costs 4,000 per axle produced Machine costs $1,000,000 Other fixed costs $500,000 (a) Machine costs represent rental payments for equipment used in axle production. If Grumpy accepts...

A trucking company has GPS (global positioning satellite) locators on its repair trucks to track the...

A trucking company has GPS (global positioning satellite) locators on its repair trucks to track the location of each truck in its repair fleet. Every 15 minutes, the GPS sends the company the location (latitude and longitude) of each truck. In response to complaints about a repairman’s slow response times, senior managers were able to plot the movement of his truck. They found that the driver made long side trips to the same house at roughly the same time each...

At a certain trucking company, 75% of the trucks are on time. A sample of 10...

At a certain trucking company, 75% of the trucks are on time. A sample of 10 trucks are studied. a.) Find the probability that all of the 10trucks are on time. b.) Find the probability that exactly 8trucks are on time.

Subjects