A government's department of transportation requires tire manufacturers to provide performance information on tire sidew

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A Government S Department Of Transportation Requires Tire Manufacturers To Provide Performance Information On Tire Sidew 1 (82.28 KiB) Viewed 24 times

A government'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 wear Index, which indicates the tire's resistance to tread wear. A tire with a grade of 200 should last twice as long, on average, 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 195.9 and a sample standard deviation of 21.4. Complete parts (a) and (b) below. Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values of t. a. Is there evidence that the population mean amount is different from a grade of 2007 (Use a 0.10 level of significance.) State the null and alternative hypotheses. HO: HH IL Identify the critical value(s). The critical value(s) is(are) - (Round to four decimal places as needed. Use a comma separate answers as needed.) Determine the test statistic. The test statistics (Round to four decimal places as needed.) State the conclusion Ho. There is evidence to conduce the population mean amount is different from a grade of 200. b. Determine the p-value and interpret its meaning. The p-value is (Round to four decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.100 ounce away from 200 if the null hypothesis is true. O B. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.100 ounce above 200 if the null hypothesis is false. O C. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.100 ounce below 200 if the null hypothesis is false OD. The p-value is the probability of not rejecting the null hypothesis when it is false.