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- 9 of 10 IDI MIST.HT.TH.02.0060a 16 points] Batteries R Us is a manufacturer of batteries and are testing a new production technique for the most popular battery type. It is known that the mean lifetime of these batteries made using the previous production technique was 66 hours. The standard deviation in battery lifetime is 5.7 hours and it is assumed that this has not changed. They would ke to know whether mean battery time has increased with the new production technique The following sample data of battery times has been collected from a random sample of 40 batteries made using the new manufacturing technique. Download the data Battery lifetimes (hours) 71.5 70 50 72.7 76.1 65.4 59.6 65.5 67.9 68.7 69.3 71.6 64.2 63.6 70.7 64.6 62.2 64.3 77.8 61.3 68.7 71.8 75 74.4 69.2 68.7 73.4 62.7 72.2 73.8 65.7 59 56.3 71.4 66.5 60.5 65.6 76.5 77.3 71.9 Conduct a hypothesis test to test whether the new manufacturing process has increased mean battery lifetime. ) From the following options, select the correct null and alternate hypotheses for this testi A: Hol 66, H 66 B: Ho! 66, 66 C! Hol 66, Hlu66 Di Ho! > 66, H = 66 The correct null and alternate Typotheses for this test are: b) Calculate the test statistic. Give your answer to 2 decimal places. c) Calculate the p-value for the test. Give your answer to 4 decimal places P-value d) Therefore, at a significance level of 0.05 the null hypothesis is rejected e) At a significance level of 0.05, from the rest of the test you can conclude that there is: significant evidence to conclude that the population mean battery time has increased

Answer 1

sal: ca. Ho il = 66 Hei M > 66 option (B) is correct _063|| Test statistic (Z) = x-u data table than we find Now. 2003 - We calculate N=40 M=66 š= 686.19 o = 5.7. 68.19-66- 9.19 0.90195 = 2.43 c) P-value = 0.007549 0.00 75 . (OL) P-value 0.0075 < 0.05 so null hypothesis is rejected. cell giomilicant evidence to conclude that the Population mean batteryalifetime has whereassede Que to HomeworkLib Palicy I have attempt first question only The ho ako at