Question

In: Statistics and Probability

The manufacturer of a new hybrid sports utility vehicle (SUV) states that it gets an average...

The manufacturer of a new hybrid sports utility vehicle (SUV) states that it gets an average of 48 miles per gallon (mpg) on the highway. A consumer group suspects that perhaps the new SUV’s gas efficiency is lower than the manufacturer’s statement. Assume that the gas efficiency of the SUV is approximately normally distributed. The consumer group randomly tests 13 of the new SUV’s under similar highway conditions and obtains the following results: 39, 40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 50
1a) Write the hypotheses statements below to test the consumer group’s claim

2) Explain what type of hypothesis testing you will perform and whether conditions are met.

3a) Test this hypothesis using a significance level of α = 5%. Clearly label a sketch with appropriate shading and calculate the test statistic

4 Would you reject or fail to reject the null hypothesis?

5 Using a significance level of α = 5%, write a conclusion in the context of this problem

A friend is looking for an SUV that averages 48 mpg or more on the highway. Would you advise your friend to purchase this new model SUV? Yes or No

Solutions

Expert Solution


Related Solutions

In 2003, Porsche unveiled its new sports utility vehicle (SUV), the Cayenne. With a price tag...
In 2003, Porsche unveiled its new sports utility vehicle (SUV), the Cayenne. With a price tag of $40,000 (2003 dollars), the Cayenne went from zero to 62mph in 9.7 seconds. Porsche’s decision to enter the SUV market was a response to the runaway success of other high-priced SUVs such as the Mercedes Benz M-Class. Vehicles in this class had generated years of high profits. The Cayenne certainly spiced up the market, and Porsche subsequently introduced the Cayenne Turbo S, which...
Mitsubishi Corporation plans to enter the markets of Ghana with its new Sports Utility Vehicle (SUV)--...
Mitsubishi Corporation plans to enter the markets of Ghana with its new Sports Utility Vehicle (SUV)-- the Mitsubishi Sogo Sosha Model. You are the Sales Manager of Mitsubishi Corporation for Middle East and African Markets. Prepare a report for the Board of Directors detailing the feasibility of the proposed venture. Your report should include the following: 1.1 An analysis of the situation in the aforesaid country by using appropriate tools. (15) 1.2 Industry and its characteristics in the country. (20)...
Mitsubishi Corporation plans to enter the markets of Ghana with its new Sports Utility Vehicle (SUV)--...
Mitsubishi Corporation plans to enter the markets of Ghana with its new Sports Utility Vehicle (SUV)-- the Mitsubishi Sogo Sosha Model. You are the Sales Manager of Mitsubishi Corporation for Middle East and African Markets. Prepare a report for the Board of Directors detailing the feasibility of the proposed venture. Your report should include the following: 1.1 An analysis of the situation in the aforesaid country by using appropriate tools. (15) 1.2 Industry and its characteristics in the country. (20)...
A car company claims that its new SUV gets better gas mileage than its competitor’s SUV....
A car company claims that its new SUV gets better gas mileage than its competitor’s SUV. A random sample of 35 of its SUVs has a mean gas mileage of 12.6 miles per gallon (mpg). The population standard deviation is known to be 0.4 mpg. A random sample of 31 competitor’s SUVs has a mean gas mileage of 12.4 mpg. The population standard deviation for the competitor is known to be 0.3 mpg. Test the company’s claim at the 0.05...
You are looking to purchase a new vehicle for $24,500. This vehicle gets 21 mpg and...
You are looking to purchase a new vehicle for $24,500. This vehicle gets 21 mpg and you average driving 15,000 miles per year. You expect that gasoline will average $2.40 per gallon for the first year and will increase 15% per year but it will never get above $5 per gallon because of government controls. Maintenance is included for the first two years but after that you think that maintenance will cost $1,000 and increase by 10% per year after...
A report States that the cost of repairing a hybrid vehicle is falling even while typical...
A report States that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid repaired replacing the hybrid Inverter assembly had a mean repair cost of 3927 in 2012. Industry experts suspect that the cause will continue to decrease given the increase in a number of technicians who have gained expertise on fixing gas electric engines in recent months. Suppose a sample of 100 hybrid inverter...
A report states that the cost of repairing a hybrid vehicle is falling even while typical...
A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid​ repair, replacing the hybrid inverter​ assembly, had a mean repair cost of $3,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing​ gas-electric engines in recent months. Suppose a sample of 100 hybrid inverter assembly...
A report states that the cost of repairing a hybrid vehicle is falling even while typical...
A report states that the cost of repairing a hybrid vehicle is falling even while typical repairs on conventional vehicles are getting more expensive. The most common hybrid​ repair, replacing the hybrid inverter​ assembly, had a mean repair cost of ​$3 comma 9273,927 in 2012. Industry experts suspect that the cost will continue to decrease given the increase in the number of technicians who have gained expertise on fixing​ gas-electric engines in recent months. Suppose a sample of 100100 hybrid...
An automobile manufacturer claims that the new model gets an average of 30 miles per gallon...
An automobile manufacturer claims that the new model gets an average of 30 miles per gallon on the highway, with a standard deviation of 5 miles. However, when a consumer group drove 100 cars on the highways. the group found the average mileage was 28.5 miles. what can the consumer group assert with 99% confidence? check your answer with the p-value test?
A used car dealer says that the mean price of a​ three-year-old sports utility vehicle is...
A used car dealer says that the mean price of a​ three-year-old sports utility vehicle is ​$23,000. You suspect this claim is incorrect and find that a random sample of 24 similar vehicles has a mean price of ​$23,870 and a standard deviation of ​$1986. Is there enough evidence to reject the claim at α=0.01​? (a) Write the claim mathematically and identify (B) What​ is(are) the critical​ value(s) Determine the rejection​ region(s). (C) Find the standardized test statistic t. ​(d)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT