A car dealer states that a new brand of car gets 35 miles per gallon on...
- A car dealer states that a new brand of car gets 35 miles per
gallon on average. Suppose a consumer group claims that these cars
get less than 35 miles per gallon. A sample of 40 cars is selected,
and the sample mean for the 40 cars is 33 miles per gallon while
the sample standard deviation is 3.8.
- Have the assumptions for this test been met? Why or why not?
- State the null and alternative hypotheses for this test.
- Calculate the test statistic for this test. Explain what this test statistic represents
- Use technology to calculate the p-value for this test. Explain what this p-value represents.
- State the conclusion for this test at the 0.05 level of significance. Do you think the car dealer is telling the truth? Why or why not?
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A car dealer states that a new brand of car gets 35 miles per
gallon on...
Suppose a car dealer tells you that specific cars get 35 miles per gallon on average....
Suppose a car dealer tells you that specific cars get 35 miles per gallon on average. You would be able to use hypothesis tests to test whether or not this value might be correct. Why would you use a hypothesis test instead of a confidence interval in this situation? Answer the following questions in a Word document: A car dealer states that a new brand of car gets 35 miles per gallon on average. Suppose a consumer group claims that...
2) In order to develop a confidence interval for the average miles per gallon (MPG) for...
2) In order to develop a confidence interval for the average miles per gallon (MPG) for a brand of hybrid car, a simple random sample of 97 cars is selected from the population of 10,000 cars manufactured. The 97 cars had a sample mean MPG of 51.9 MPG and a sample standard deviation of 4.5 MPG. (6 points) a) Compute a 99% confidence interval for the average miles per gallon (MPG) for this brand of car. b) Imagine that an...
A car company claims that its compact model gets 33 miles per gallon. A government inspector...
A car company claims that its compact model gets 33 miles per gallon. A government inspector tests 12 of the company cars and finds that the average mileage is 29.9 mpg with a standard deviation of 1.2 mpg. Test if the mileage found is significantly less than the mileage claimed by the company using = 0.01.
A car company claims that its compact model gets 31 miles per gallon. A government inspector...
A car company claims that its compact model gets 31 miles per gallon. A government inspector tests 38 of the company cars and finds that the average mileage is 29.7 mpg with a standard deviation of 2.2 mpg. Test if the mileage found is significantly less than the mileage claimed by the company using α = 0.01. (show bell shaped graph)
Suppose that gasoline costs $3.55 per gallon. Your car gets 35 miles per gallon. How many...
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You currently drive 375 miles per week in a car that gets 18 miles per gallon...
You currently drive 375 miles per week in a car that gets 18 miles per gallon of gas. You are considering buying a new fuel-efficient car for$15,000(after trade-in on your current car) that gets 45 miles per gallon. Insurance premiums for the new and old car are$1000 and $500 per year, respectively. You anticipate spending $1500 per year on repairs for the old car and having no repairs on the new car. Assume gas costs$3.50 per gallon. Over a five-year...
It is necessary for an automobile producer to estimate the number of miles per gallon (mpg)...
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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?
The fuel efficiency in miles per gallon of all BMW 320i’s is approximately normally distributed with...
The fuel efficiency in miles per gallon of all BMW 320i’s is approximately normally distributed with a mean of 25 and a standard deviation of 2. A dealer receives a shipment of a random sample of 320i’s (random with respect to mpg) from the factory. Hint: look at the sample sizes and think about which tables you’d need to use for these problems. (a) Find the probability that average fuel efficiency is less than 24 mpg if the dealer receives...
Assume you own a car that gets 20 miles per gallon on average. If you typically...
Assume you own a car that gets 20 miles per gallon on average. If you typically drive 16,000 miles per year and the price of gasoline goes from $2.00 per gallon to $3.00 per gallon, what is your additional cost per year?
2) In order to develop a confidence interval for the average miles per gallon (MPG) for a brand of hybrid car, a simple random sample of 97 cars is selected from the population of 10,000 cars manufactured. The 97 cars had a sample mean MPG of 51.9 MPG and a sample standard deviation of 4.5 MPG. (6 points) a) Compute a 99% confidence interval for the average miles per gallon (MPG) for this brand of car. b) Imagine that an...
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