The manufacturer of a new car claims that miles per gallon for the gas consumption is...
The manufacturer of a new car claims that miles per gallon for the gas consumption is normally distributed with a mean of 25.9 mpg and a standard deviation of 3.1 mpg.
a.) If one car is tested, what is the probability that the mean
mpg is less than 24 mpg?
b.) If 30 cars are tested, what is the probability that the mean
mpg is less than 24 mpg?
c.) If one car is tested, what is the probability that the mean mpg
is between 24 and 27 mpg?
d.) If 30 cars are tested, what is the probability that the mean
mpg for all 30 cars is between 24 and 27 mpg?
Homework Answers
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The manufacturer of a new car claims that miles per gallon for
the gas consumption is...
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline...
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?
SAMPLING DISTRIBUTION The manufacturer of a new compact car claims the miles per gallon (mpg) for...
SAMPLING DISTRIBUTION The manufacturer of a new compact car claims the miles per gallon (mpg) for gasoline consumption is normally distribution with u = 26.3 mpg and standard deviation 6 = 9.0 mpg. A consumer agency is looking to verify the manufacturer's claim. If a sample of 36 cars are tested, what is the probability that the mean mpg 7 is (a) less than 23 mpg? (b) more than 29 mpg? (b) between 23 and 29 mpg?
2. The manufacturer of a new model car (Camry) claims that a typical car get 26...
2. The manufacturer of a new model car (Camry) claims that a typical car get 26 miles per gallon. A consumer advocacy group is skeptical of this claim and thinks that the mean gas mileage, , of all Camrys may be less than 26 mpg. The group plans to perform the hypothesis test at a = 0.05, using a sample of 30 Camrys. Ho: u = 26 mpg Hu<26 mpg Find the probability of making a Type II error if...
A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally...
A certain model of automobile has its gas mileage (in miles per gallon, or mpg) normally distributed, with a mean of 26 mpg and a standard deviation of 4 mpg. Find the probability that a car selected at random has the following gas mileages. (Round your answers to four decimal places.) (a) less than 20 mpg (b) greater than 28 mpg (c) between 24 and 28 mpg
An automobile manufacturer claims that their car has a 56.7 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that their car has a 56.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 14 cars they found a mean MPG of 56.6 with a standard deviation of 1.1. Is there sufficient evidence at the 0.1 level that the cars underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Answer 2 Points...
The combined gas mileage of mid-size cars varies with mean 25 miles per gallon (mpg) and...
The combined gas mileage of mid-size cars varies with mean 25 miles per gallon (mpg) and a standard deviation of about 5.3 mpg. A particular rental car agency typically has 88 midsize cars in its lot. Assume the distribution of combined gas mileage of mid-size cars is Normal. Find the probability that the combined gas mileage for a randomly selected car in the lot is higher than 25 mpg. Find the probability that the mean combined gas mileage for all...
A certain car model has a mean gas mileage of 34 miles per gallon with a...
A certain car model has a mean gas mileage of 34 miles per gallon with a standard deviation of 4 mpg. A pizza delivery conpany buys 54 of these cars. What is the probability that the average mileage of the fleet is between 33.3 and 34.3 mpg?
a certain car model has a mean gas mileage of 34 Miles per gallon (mpg) with...
a certain car model has a mean gas mileage of 34 Miles per
gallon (mpg) with a population standard deviation for. A pizza
delivery company buys a sample of 54 of these cars. What is the
probability that the average mileage of the fleet is greater than
33.7 MPG?
Question 14 (3 points) A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a population standard deviation 4. A pizza delivery company buys a...
A certain car model has a mean glass milage of 34 miles per gallon (mpg) with...
A certain car model has a mean glass milage of 34 miles per
gallon (mpg) with a standard deviation 5mpg. A pizza delivery
company buys 43 of these cars. What is the probability that the
average milage of the fleet is greater than 33.5 mpg?
33) A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation 5 mpg. A pizza delivery company buys 43 of these cars. What is the probability...
The average gas mileage of a certain model car is 29 miles per gallon. If the...
The average gas mileage of a certain model car is 29 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 2.4, find the probability that a car has a gas mileage of between 30 and 35 miles per gallon.
SAMPLING DISTRIBUTION The manufacturer of a new compact car claims the miles per gallon (mpg) for gasoline consumption is normally distribution with u = 26.3 mpg and standard deviation 6 = 9.0 mpg. A consumer agency is looking to verify the manufacturer's claim. If a sample of 36 cars are tested, what is the probability that the mean mpg 7 is (a) less than 23 mpg? (b) more than 29 mpg? (b) between 23 and 29 mpg?
2. The manufacturer of a new model car (Camry) claims that a typical car get 26 miles per gallon. A consumer advocacy group is skeptical of this claim and thinks that the mean gas mileage, , of all Camrys may be less than 26 mpg. The group plans to perform the hypothesis test at a = 0.05, using a sample of 30 Camrys. Ho: u = 26 mpg Hu<26 mpg Find the probability of making a Type II error if...
An automobile manufacturer claims that their car has a 56.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 14 cars they found a mean MPG of 56.6 with a standard deviation of 1.1. Is there sufficient evidence at the 0.1 level that the cars underperform the manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Answer 2 Points...
a certain car model has a mean gas mileage of 34 Miles per
gallon (mpg) with a population standard deviation for. A pizza
delivery company buys a sample of 54 of these cars. What is the
probability that the average mileage of the fleet is greater than
33.7 MPG?
Question 14 (3 points) A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a population standard deviation 4. A pizza delivery company buys a...
A certain car model has a mean glass milage of 34 miles per
gallon (mpg) with a standard deviation 5mpg. A pizza delivery
company buys 43 of these cars. What is the probability that the
average milage of the fleet is greater than 33.5 mpg?
33) A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation 5 mpg. A pizza delivery company buys 43 of these cars. What is the probability...
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