Question

If we can treat this data as a random sample of all models of cars produced...

If we can treat this data as a random sample of all models of cars produced in 2003, test the hypothesis that the highway mileage per gallon of automobiles exceeds 25.

n=147

mean=28.14966

standard deviation= 6.5337414

Homework Answers

Answer #1

This is a right tail test. Since we are not given any significance level, let us assume it as 5%

As the test exceeds the critical value by a long margin, we must reject the null hypothesis and conclude that the highway mileage per gallon of automobiles exceeds 25.  In fact, a calculator shows that P-Value is < .00001.

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
Now suppose we wish to conduct a hypothesis test to determine whether the standard deviation in...
Now suppose we wish to conduct a hypothesis test to determine whether the standard deviation in highway mileage for all small cars is less than the standard deviation in highway mileage for all midsized cars produced in 2015. A sample of n1 = 47 small cars had a sample standard deviation of 4.533 HwyMPG while a sample of n3 = 34 midsized cars had a sample standard deviation of s2 = 4.785. Use this information to conduct the test at...
Two major automobile manufacturers have produced compact cars with engines of the same size. We are...
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed. Manufacturer A...
A random sample of 10 drivers reported the below average mileage in the city for their...
A random sample of 10 drivers reported the below average mileage in the city for their cars. 18, 21, 24, 25, 25, 25, 25, 26, 29, & 31 The mean of the sample is 24.9 miles per gallon, with an associated standard deviation of about 3.6. Find the 95% confidence interval for the average mileage of the cars for all of the drivers in the class. Assume all normality conditions apply. Determine the approximate sample size needed to estimate the...
In a recent publication, it was reported that the average highway gas mileage of tested models...
In a recent publication, it was reported that the average highway gas mileage of tested models of a new car was 33.2 mpg and approximately normally distributed. A consumer group conducts its own tests on a simple random sample of 17 cars of this model and finds that the mean gas mileage for their vehicles is 31.5 mpg with a standard deviation of 3.5 mpg. Perform a test at the level to determine if these data support the contention that...
Two major automobile manufacturers have produced compact cars with the same size engines. We are interested...
Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test. Driver Manufacturer A Manufacturer B 1 32 28 2...
In a recent publication, it was reported that the average highway gas mileage of tested models...
In a recent publication, it was reported that the average highway gas mileage of tested models of a new car was 34.2 mpg with a standard deviation of 1.5 mpg, with the mileages approximately normally distributed. H0 : μ = 34.2 Ha : μ < 34.2 Part a: Describe a Type II error in the context of the hypothesis test. Part b: If a simple random sample of 100 cars is selected, what values of the sample mean ̄x would...
A random sample of 16 mid-sized cars, which were tested for fuel consumption, gave a mean...
A random sample of 16 mid-sized cars, which were tested for fuel consumption, gave a mean of 26.4 miles per gallon with a standard deviation of 2.3 miles per gallon. Assuming that the miles per gallon given by all mid-sized cars have a normal distribution, find a 90% confidence interval for the population mean.
One gallon of gas is put into each of 30 test cars. The resulting gas-mileage values...
One gallon of gas is put into each of 30 test cars. The resulting gas-mileage values of the sample are computed with mean of 28.5 gallons per mile, and standard deviation of 1.2 miles per gallon. What is the 95% confidence interval estimate of the mean mileage?
A simple random sample of 40 recorded speeds (in mph) is obtained from cars traveling on...
A simple random sample of 40 recorded speeds (in mph) is obtained from cars traveling on a section of Highway 405 in Los Angeles. The sample has a mean of 68.4 mph and a standard deviation of 5.7 mph. Use a 0.05 level of significance to test the claim that the mean speed of all cars is greater that the posted speed limit of 65 mph
oints) A random sample of 45 mid-sized cars tested for fuel consump- tion gave a mean...
oints) A random sample of 45 mid-sized cars tested for fuel consump- tion gave a mean of 28.6 miles per gallon with a sample standard deviation of 2.5 miles per gallon. Find a 98% confidence interval for the population
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT