Question

The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained...

The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained in standard 42-gallon barrels purchased from a nationally known manufacturer. The manufacturer’s specifications state that the amount of gasoline is normally distributed with a standard deviation of 0.65 gallon. A random sample of 25 barrels is selected, and the sample mean amount of gasoline per 42-gallon barrel is 42.15 gallons. Construct a 90% confidence interval estimate for the population mean amount of gasoline contained in a standard 42-gallon barrel.

Select one:

a. 42.15 ± 1.645 (0.65) / 5

b. 42.15 ± 1.7109 (0.65) / 25

c. 42 ± 1.7109 (0.65) / 25

d. 42 ± 1.645 (0.65) / 5

Homework Answers

Answer #1

solution

Given that,

= 42.15

s =0.65

n = 25

Degrees of freedom = df = n - 1 = 25 - 1 = 24

At 90% confidence level the t is ,

= 1 - 90% = 1 - 0.90 = 0.1

/ 2 = 0.1 / 2 = 0.05

t /2,df = t 0.05,24 = 1.7109 ( using student t table)

Margin of error = E = t/2,df * (s /n)

= 1.7109* ( 0.65/ 25)

The 90% confidence interval is

42.15 ± 1.7109* ( 0.65/ 25)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained...
The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained in standard 42-gallon barrels purchased from a nationally known manufacturer. The manufacturer’s specifications state that the amount of gasoline is normally distributed with a standard deviation of 0.65 gallon. A random sample of 25 barrels is selected, and the sample mean amount of gasoline per 42-gallon barrel is 42.15 gallons. Construct a 90% confidence interval estimate for the population mean amount of gasoline contained...
The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained...
The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained in standard 42-gallon barrels purchased from a nationally known manufacturer. The manufacturer’s specifications state that the amount of gasoline is normally distributed with a standard deviation of 0.65 gallon. A random sample of 25 barrels is selected, and the sample mean amount of gasoline per 42-gallon barrel is 42.15 gallons. Construct a 90% confidence interval estimate for the population mean amount of gasoline contained...
The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained...
The manager of a gasoline supply corporation wants to estimate the actual amount of gasoline contained in standard 42-gallon barrels purchased from a nationally known manufacturer. The manufacturer’s specifications state that the amount of gasoline is normally distributed with a standard deviation of 0.65 gallon. A random sample of 25 barrels is selected, and the sample mean amount of gasoline per 42-gallon barrel is 42.15 gallons. Construct a 90% confidence interval estimate for the population mean amount of gasoline contained...
The manager of a paint supply store wants to estimate the actual amount of paint contained...
The manager of a paint supply store wants to estimate the actual amount of paint contained in 1​-gallon cans purchased from a nationally known manufacturer. The​ manufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.01 gallon. A random sample of 50 cans is​ selected, and the sample mean amount of paint per 1​-gallon can is 0.996 gallon. Complete parts​ (a) through​ (d). d. Construct a 90​% confidence interval estimate. How does this change...
The manager of a paint supply store wants to estimate the actual amount of paint contained...
The manager of a paint supply store wants to estimate the actual amount of paint contained in 1​-gallon cans purchased from a nationally known manufacturer. The​ manufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.01 gallon. A random sample of 50 cans is​ selected, and the sample mean amount of paint per 1​-gallon can is 0.996 gallon. Complete parts​ (a) through​ (d). a. Construct a 95​% confidence interval estimate for the population mean...
A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased...
A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased from a nationally known water bottling company. The water bottling​ company's specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 50 bottles is​ selected, and the sample mean amount of water per 1​-gallon bottle is 0.993 gallon. A. Construct a 95​% confidence interval estimate for the population mean amount of water included in...
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon...
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water per bottle is 0.03 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon. a. Is there evidence that the mean amount is different...
The manager of a paint supply store wants to determine whether the mean amount of paint...
The manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased from a nationally known manufacture is actually 1 gallon. You know from the manufactures specification that the standard deviation of the amount of paint is 0.02 gallon. You select a random sample of 50 cans, and the mean amount of painter per 1-gallon can is 0.995. (a) Conduct a hypothesis test to determine whether or not there’s enough evidence...
The manager of a Papa John's wants to determine whether the amount of tomato sauce contained...
The manager of a Papa John's wants to determine whether the amount of tomato sauce contained in a 130 oz can purchased from the supplier averages less than 130 oz. It is known from the manufacturer's specifications that the standard deviation of the amount of sauce is equal to 1.5 oz. A random sample of 25 cans are selected, and the mean amount of amount per bottle can is found to be 128.4 oz. Conduct the appropriate hypothesis test at...
Q1-Suppose a wholesaler of paints wants to estimate the actual amount of paint contained in 10...
Q1-Suppose a wholesaler of paints wants to estimate the actual amount of paint contained in 10 kg cans purchased from a paint manufacturing company. It is known from the manufacturer's specifications that the standard deviation of the amount of paint is equal to 0.05 kg. A random sample of 49 cans is selected yields an average amount of paint per 10 kg can is 0.995 kg. What will be the margin of error when constructing a 97% confidence interval for...