Question

In: Statistics and Probability

The manufacturer claims that your new car gets 33 mpg on the highway. You suspect that...

The manufacturer claims that your new car gets 33 mpg on the highway. You suspect that the mpg is more for your car. The 42 trips on the highway that you took averaged 35 mpg and the standard deviation for these 42 trips was 6 mpg. What can be concluded at the αα = 0.01 level of significance?

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
  2. The null and alternative hypotheses would be:

H0:H0:  ? μ p  ? > = < ≠       

H1:H1:  ? p μ  ? ≠ > < =    

  1. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? > ≤  αα
  4. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.

Solutions

Expert Solution

a) t-test for a population mean


Related Solutions

The manufacturer claims that your new car gets 32 mpg on the highway. You suspect that...
The manufacturer claims that your new car gets 32 mpg on the highway. You suspect that the mpg is less for your car. The 64 trips on the highway that you took averaged 31.4 mpg and the standard deviation for these 64 trips was 8.9 mpg. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and...
The manufacturer claims that your new car gets 31 mpg on the highway. You suspect that...
The manufacturer claims that your new car gets 31 mpg on the highway. You suspect that the mpg is a different number for your car. The 40 trips on the highway that you took averaged 28.7 mpg and the standard deviation for these 40 trips was 5.8 mpg. What can be concluded at the α α = 0.01 level of significance? a.For this study, we should use Select an answer z-test for a population proportion t-test for a population mean...
A car company claims that their newest car gets 35 mpg. You think that is much...
A car company claims that their newest car gets 35 mpg. You think that is much lower so you sample 30 cars and find an average of 33 mpg. Assuming the sample standard deviation is 3. Perform a test of hypothesis. Create a 99% confidence interval.
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 27.4 mpg and a standard deviation of 12.3 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?
Calculate calorific value of E15 fuel. A car run by gasoline has highway mpg 33, if...
Calculate calorific value of E15 fuel. A car run by gasoline has highway mpg 33, if it runs by E15, calculate the new mpg. Ignore all other effects. If it runs only by ethanol what would be new mpg. (Points 10+10=20)
An automobile manufacturer claims that their leading car averages 36 mpg in the city with a...
An automobile manufacturer claims that their leading car averages 36 mpg in the city with a population standard deviation of 6 mpg for city driving. suppose a city police department purchases 64 cars from this auto manufacturer. If these cars were drivin exclusively under city conditions and averaged 34 mpg, can one argue that the manufacturer's claim is incorrect at a = 5%?
An automobile manufacturer claims that their leading compact car averages 36 mpg in the city. The...
An automobile manufacturer claims that their leading compact car averages 36 mpg in the city. The population standard deviation is 8 mpg for city driving. Suppose a city police department purchases 64 cars from this auto manufacturer. If these cars were driven exclusively under city conditions and averaged 34 mpg, can one argue that the manufacturer's claim is too high at 5% a. State the null and alternative hypothesis b. Determine and draw the hypothesis test model (Label everything) c....
A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can...
A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can be modeled with a normal model with N(33, 1.70). What proportion of cars have miles per gallon less than 31.2 [P(x ≤31.2 mpg)]? What proportion of cars will have miles per gallon greater than 36 [P(x ≥36 mpg)]? What proportion of cars will have miles per gallon less than 30[P(x ≤30 mpg)]? What proportion of cars will have miles per gallon between 32 and...
A new car had been released for which the manufacturer reports that the car gets 23mpg...
A new car had been released for which the manufacturer reports that the car gets 23mpg for city driving. A consumer group feels that the true mileage is lower. a) Perform the following hypothesis test, using α= .05. Assumptions: The gas mileage in the sample of 30 cars comes from an SRS drawn from the population of all mileage and the sample mean is 22.5 standard deviation is known, δ = 1.2. b) State the type I and type II...
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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT