PART A - Only choose the answer from choices provided.(II)

(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.) O (a) (i) z = +2.58; (ii) one-tailed test: z = -2.33 O (b) (i) t = +2.69; (ii) t = 2.41 O (c) (i) t = +2.69; (ii) t = -2.69 O (d) (i) t = +2.69; (ii) t = -2.41The average height of 2-year-old children is 34 inches with a population standard deviation of o = 1.?5. A random sample of 35 2-year-olds in a large daycare franchise is collected and found to be 29.50 inches. Researchers are suspicious that the children at the daycares are not growing as quickly as they should be. {all Calculate the test statistic for the problem. [Round your answer to two decimal places.] {in} Calculate the P-yalue. {Use a table or technology. Round your answer to four decimal places.) l:l Explain what a P-value is in a hypothesis test. Note also how it is used to make a decision about conducting a hypothesis test.A test of significance produces a P-value of 0.015. Which of the following conclusions is appropriate? O Accept the null hypothesis at a = 0.01 level. O Reject the alternative hypothesis at a = 0.01 level. O Reject the null hypothesis at a = 0.01 level. O Fail to reject the null hypothesis at a = 0.01 level.A large university wants to see if the national claim that students owe $60,000 after 4 years of college is accurate. A statistics class at the university takes a random sample of 20 graduated students and finds that the average amount of debt after college is $70,000 with a sample standard deviation of $5,500. What are the degrees of freedom for the test? df =