The question is below

Problem 4. (20 points) A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than 4600 hours. To test this claim, a statistician took a random sample of 94 bulbs and measured the amount of time until each bulb burned out. The mean lifetime of the sample of bulbs is 4675 hours and has a standard deviation of 360 hours. Can we conclude with 75% confidence that the claim is true? Fill in the requested information below. (a) The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (00, a) is expressed (-infty, a), an answer of the form (b, 00) is expressed (b, infty), and an answer of the form (00, a) U (b, co) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test: 0 A. Reject H1. 0 B. Do Not Reject H1. 0 C. Do Not Reject HO. O D. Reject H0