A racing car consumes a mean of 104 gallons of gas per race with a variance...

A racing car consumes a mean of 104 gallons of gas per race with a variance of 9. if 50 racing cars are randomly selected what is the probability that the sample mean would be greater than 102.9 gallons round your answer to four decimal places

Solutions

Expert Solution

Solution :

Given that,

mean = = 104

variance = 2 = 9

standard deviation = = 3

n=50

= =104

= / n = 3/ 50 = 0.42

P( >102.9 ) = 1 - P( <102.9 )

= 1 - P[( - ) / < (102.9-104) / 0.42]

= 1 - P(z <-2.62 )

Using z table

= 1 - 0.0044

= 0.9956

probability= 0.9956

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A racing car consumes a mean of 91 gallons of gas per race with a variance...

A racing car consumes a mean of 91 gallons of gas per race with a variance of 36 . If 44 racing cars are randomly selected, what is the probability that the sample mean would be greater than 92.6 gallons? Round your answer to four decimal places.

A racing car consumes a mean of 91 gallons of gas per race with a variance...

A racing car consumes a mean of 91 gallons of gas per race with a variance of 36. If 44 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 1.5 gallons? Round your answer to four decimal places.

A racing car consumes a mean of 87 gallons of gas per race with a standard...

A racing car consumes a mean of 87 gallons of gas per race with a standard deviation of 6 gallons. If 41 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by less than 0.6 gallons? Round your answer to four decimal places.

A racing car consumes a mean of 99 gallons of gas per race with a standard...

A racing car consumes a mean of 99 gallons of gas per race with a standard deviation of 3 gallons. If 37 racing cars are randomly selected, what is the probability that the sample mean would be greater than 100.2 gallons? Round your answer to four decimal places.

A car owner conducts an experiment by filling up their car with 10 gallons of gas...

A car owner conducts an experiment by filling up their car with 10 gallons of gas and drives until it runs out of gas. The number of miles driven from the 10 times of doing this experiment is shown below: 275 240 303 243 259 187 311 276 251 263 Find the following: Show ALL necessary work a) Median b) Lower and Upper Quartiles c) IQR d) State the mild outliers, if any. If there are no outliers, then state...

A car owner conducts an experiment by filling up their car with 10 gallons of gas...

A car owner conducts an experiment by filling up their car with 10 gallons of gas and drives until it runs out of gas. The number of miles driven from the 10 times of doing this experiment is shown below: 246 251 279 207 274 255 322 248 231 245 Find the following: Show ALL necessary work a) Median b) Lower and Upper Quartiles c) IQR d) State the mild outliers, if any. If there are no outliers, then state...

Suppose that the average household in a state consumes 1000 gallons of gasoline per year. A...

Suppose that the average household in a state consumes 1000 gallons of gasoline per year. A 20-cent gasoline tax is introduced, coupled with a $160 annual tax rebate per household. Will the household be better or worse off under the new program? Graphically show how you arrived at your answer

Chapter 7: The mean mean gas mileage for a hybrid car is 57 milers per gallon....

Chapter 7: The mean mean gas mileage for a hybrid car is 57 milers per gallon. Suppose that the gasoline mileage is approximately normal distributed with a standard deviation with 3.5 milers per gallon. (A) what proportion of hybrids get over 62 milers per gallon? B.) What proportion of hybrids gets 52 milers per gallon or less? C.) what proportion of hybrids gets between 59 and 62 miles per gallon? D.) What is the probability that a randomly selected hybrid...

The cost of 5 gallons of ice cream has a variance of 49 with a mean...

The cost of 5 gallons of ice cream has a variance of 49 with a mean of 36 dollars during the summer. What is the probability that the sample mean would differ from the true mean by less than 1.5 dollars if a sample of 142 5-gallon pails is randomly selected? Round your answer to four decimal places.

The cost of 5 gallons of ice cream has a variance of 49 with a mean...

The cost of 5 gallons of ice cream has a variance of 49 with a mean of 37 dollars during the summer. What is the probability that the sample mean would be greater than 35.2 dollars if a sample of 77 5-gallon pails is randomly selected? Round your answer to four decimal places.

Subjects