Agovernment's department of transportation requires tire manufacturers to provide performance information on tire sidewalls to help prospective buyers make their purchasing decisions. One very important piece of information is the tread wearindex, which indicates thetire's resistance to tread wear. A tire with a grade of 200 should last twice aslong, onaverage, as a tire with a grade of 100. A consumer organization wants to test the actual tread wear index of a brand name of tires that claims"graded 200" on the sidewall of the tire. A random sample of n=18 indicates a sample mean tread wear index of 195.4 and a sample standard deviation of 21.5. Complete parts(a) and(b) below.

a. Is there evidence that the population mean amount is different from a grade of 200? (Use a 0.10 level of significance.) State the null and alternative hypotheses. Ho: H H1: H Identify the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic is (Round to four decimal places as needed.) State the conclusion. Ho. There is evidence to conclude the population mean amount is different from a grade of 200.b. Determine the p-value and interpret its meaning. The p-value is D. (Round to four decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. 0 A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.600 ounce above 200 if the null hypothesis is false. 0 B. The p-value is the probability of not rejecting the null hypothesis when it is false. 0 C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.600 ounce below 200 if the null hypothesis is false. 0 D. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.600 ounce away from 200 if the null hypothesis is true