A company that receives shipments of batteries tests a random sample of sixteen of them before agreeing to take a shipme

Post by **answerhappygod** » Wed May 11, 2022 7:11 pm

: A Company That Receives Shipments Of Batteries Tests A Random Sample Of Sixteen Of Them Before Agreeing To Take A Shipme 1 (126.63 KiB) Viewed 22 times

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A company that receives shipments of batteries tests a random sample of sixteen of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 40 hours. From past experience, it is safe to conclude that the population distribution of lifetimes is normal with a standard deviation of 4 hours. For one particular shipment, the mean lifetime for a sample of sixteen batteries was 38.9 hours. a. Test, at the 10% level, the null hypothesis that the population mean lifetime is at least 40 hours. b. Find the power of a 10%-level test when the true mean lifetime of batteries is 39 hours. Click the icon to view the standard normal distribution table. a. What are the null and alternative hypotheses for this test? O A. Ho: p= 40 H = 38.9 OC. Ho PS 40 H, μ> 40 Ο Β. Η μ2 40 H, μ< 40 OD. Ho: p= 40 H, μ# 40 For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and za or Za/2, what is the form of the decision rule? X-HO O A. Reject H, if old >Za X-

ompany that receives shipments of batteries tests a random sample of sixteen of them before agreeing to take a shipment. The company is concerned that the mean lifetime for all batteries in the shipment should be at least 40 hours. From past experience, it is safe to conclude that the population distribution of lifetimes mormal with a standard deviation of 4 hours. For one particular shipment, the mean lifetime for a sample of sixteen batteries was 38.9 hours. Test, at the 10% level, the null hypothesis that the population mean lifetime is at least 40 hours. Find the power of a 10%-level test when the true mean lifetime of batteries is 39 hours. Click the icon to view the standard normal distribution table. HER х- Но A. Reject H, if on >Za X-Ho OB. Reject H, if old <-Za X-Ho X-Ho O C. Reject H. if old <-2a/2 or reject H, if 6/n >Za12 Determine the value for - Zq7ZQ, or £2a/2 as appropriate for this test - (Round to two decimal places as needed. Use a comma to separate answers as needed.)

A company that receives shipments of batteries tests a random sample of sixteen of them before agreeing to take a shipment. The company is concerned that the true mean lifetime for all batteries in the shipment should be at least 40 hours. From past experience, it is safe to conclude that the population distribution of lifetime is normal with a standard deviation of 4 hours. For one particular shipment, the mean lifetime for a sample of sixteen batteries was 38 9 hours a. Test, at the 10% level, the null hypothesis that the population mean lifetime is at least 40 hours. b. Find the power of a 10%-level test when the true mean lifetime of batteries is 39 hours. Click the icon to view the standard normal distribution table. (Round to two decimal places as needed. Use a comma to separate answers as needed) Calculate the test statistic X-Ho (Round to one decimal place as needed.) on State the conclusion of this test. the null hypothesis. There sufficient evidence to conclude that the population mean lifetime is less than 40 hours b. The power of this test when the true mean lifetime of batteries is 39 hours is (Round to four decimal places as needed)