Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). @ Click here to view page 1 of the cumulative standardized normal distribution table. @ Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is less than 1.09? The probability that Z is less than 1.09 is 0.8621 . (Round to four decimal places as needed.) b. What is the probability that Z is greater than - 0.27? The probability that Z is greater than - 0.27 is 0.8936 . (Round to four decimal places as needed.) The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,549 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,399 hours. a. At the 0.05 level of significance. is there evidence that the mean life is different from \"7,549 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? u.) a. Let p be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H1. You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.9 minutes. You select a random sample of 64 orders. The sample mean waiting time is 4.06 minutes, with a sample standard deviation of 0.8 minute. Complete parts (a) and (b) below. E) a. At the 0.01 level of significance. is there evidence that the population mean waiting time is different from 3.9 minutes? State the null and alternative hypotheses. "'ol-l E (Type integers or decimals.) The diameter of a brand of tennis balls is approximately normally distributed, with a mean of2.66 inches and a standard deviation of 0.04 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below. a. What is the sampling distribution of the mean? Ci A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 cannot be found. U B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. U C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. t i D. Because the population diameter of tennis balls is approximately normally distributed. the sampling distribution of samples of size 12 will also be approximately normal. Given a normal distribution with u = 54 and o = 5, complete parts (a) through (d). Click here to View page 1 of the cumulative standardized normal distribution table. Click here to View page 2 of the cumulative standardized normal distribution table. (I) a. What is the probability that X > 48? P(X > 48) = 0.8849 (Round to four decimal places as needed.) b. What is the probability that X A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,925 bus miles and a sample standard deviation of 175 bus miles. Complete parts (a) and (b) below. . . . a. Is there evidence that the population mean bus miles is more than 3,900 bus miles? (Use a 0. 10 level of significance.) State the null and alternative hypotheses. Ho: H Hy: H (Type integers or decimals.)If you use a 0.05 level of significance in a two-tail hypothesis test. what decision will you make if 25TH: - 2.04? Click here to view p_age 1 of the cumulative standardized normal distribution table. Click here to view [age 2 of the cumulative standardized normal distribution table. Determine the decision rule. Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) '9 A. Reject H0 if ZSTAT + D O 6- Reject HfJ if zsm'