Please write clearly and keep it brief:

PART A

A new model of a car is advertised as getting 25.3 mpg. A consumer group decides to test this claim.

(i) The consumer group takes a random sample of 47 cars and conducts a two-tailed test with a 0.01 level of significance. Assuming that o is unknown, what are the critical values for the critical region? (ii) After running the above test, the consumer group decided that the only real concern was if the miles per gallon were less than 25.3. Assuming that o is unknown and the same level of significance, what is the new critical value for the critical region? (Use a table or technology.)There are 5 steps that you should know in order to perform a hypothesis test. The following are the steps to a hypothesis test. Fill in the blank with the step number. Step 17v Choose the appropriate test and verify the conditions. Step ?v Define the parameter and state the null hypothesis, Ho, and the alternative hypothesis, H. Step ? v State the conclusion with justification. Step ?v Calculate the P-value. Step ? v Calculate the test statistic.A test of significance produces a P-value of 0.025. Which of the following conclusions is appropriate? O Reject the null hypothesis at the a = 0.05 level. O Fail to reject the null hypothesis at the a = 0.05 level. O Reject the alternative hypothesis at the & = 0.05 level. O Accept the null hypothesis at the a = 0.05 level.A retailer claims that the average cost of women's shoes are less than $56. He selects a random sample of 15 pairs of shoes from a catalog and finds the average cost to be $42. Have the assumptions to perform the hypothesis test been met? The parameter of interest is a population mean, u. Was this met? O Yes O No The sample is a random (or representative sample) from the population. Was this met? O Yes O No The sampling distribution of x is approximately normal. Remember that the sampling distribution of x is approximately normal when the population distribution is normal or when the sample size n 2 30. Was this met? O Yes O No