department of transportation requires tire manufacturers to provide performance
ID: 3067256 • Letter: D
Question
department of transportation requires tire manufacturers to provide performance information on tire sidewalls to help buyers make thei 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 tha claims "graded 200 on the sidewall of the tire. A random sample of n 18 indicates a sample mean tread wear index of 195.3 and a sample standard deviation of 21.1. Complete parts (a) and (b) below ge 2 of the table of the critical values of t Determine the test statistic. The test statistic is -0.9450? Round to four decimal places as needed.) State the conclusion. Do not reject Ho. There is insufficient 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 0.3579 (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 not rejecting the null hypothesis when it is false. OB. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.700 ounce below 200 If the null hypothesis is false. OD. The p-value is the probability of obtaining a sample mean that is equal to or more extreme than 4.700 ounce above 200 f the null hypothesis is false. from 200 if the null hypothesis is true. ?C. The alue is the probability of obtaining a sample mean that is equal to or more extreme than 4.700 ounce away fExplanation / Answer
Option c is correct.
p- value is the probability of obtaining a sample mean that is equal to or more extreme than 4.7 away from 200 if the null hypothesis is true.
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