An electronics manufacturing process has historically had a mean completion time of 75 minutes. It is claimed that, due to improvements in the process, the mean completion time, u, is now less than 75 minutes. A random sample of 9 completion times using the new process is taken. The sample has a mean completion time of 74 minutes, with a standard deviation of 11 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.10 level of significance, can it be concluded that the population mean completion time using the new process is less than 75 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
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- The physical plant at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 50 and a standard deviation of 5. Using the 68-95-99.7 (Empirical) Rule, what is the approximate percentage of lightbulb replacement requests numbering between 40 and 50? The approximate percentage of lightbulb replacement requests numbering between 40 and 50 is %.The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.9 years, what warranty should be provided so that the company is replacing at most 10% of their toasters sold?The average endurance time of a battery released by a battery-producing factory is 15 months, and the standard deviation is 1.5 months. If it is accepted that the endurance times of batteries show a normal distribution, what should be the warranty period so that no more than 5% of the batteries are replaced.
- An automobile assembly line operation has a scheduled mean completion time, μ , of 13.4 minutes. The standard deviation of completion times is 1.4 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 60 completion times under new management was taken. The sample had a mean of 13.2 minutes. Can we support, at the 0.01 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then fill in the table below. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.01 level of significance:(Round to at least three decimal places.) Can…An automobile assembly line operation has a scheduled mean completion time, µ, of 12.9 minutes. The standard deviation of completion times is 1.5 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 150 completion times under new management was taken. The sample had a mean of 12.8 minutes. Can we support, at the 0.1 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H¡ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more…An automobile assembly line operation has a scheduled mean completion time, μ , of 15.1 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 90 completion times under new management was taken. The sample had a mean of 14.7 minutes. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal…
- A ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 12 people or 2004 That capacity will be exceeded if 12 people have weights with a mean greater than 2004/12 = 167 ib . Because men tend to weigh more than women, a worst case scenario involves 12 passengers who are all men. Assume that weights of men are normally distributed with a mean of 182.9 and a standard deviation of 40.8 lb. what is the probability that if an individual man is randomly selected, his weight will be greater than 167 ?A company manufactures and distributes holiday toys in more than 1000 retail outlets. For this year, Holiday marketing director is expecting demand to average 60 unites per retail outlet. Prior to making the final production decision based upon this estimate, Holiday decides to survey a sample of 50 retailers in order to develop more information about the demand for the new product. The sample of 50 retailers provided a mean of 38.7 and a standard deviation of 12.54. If Ho cannot be rejected, Holiday will continue its production planning based on the marketing director's estimate. State the hypothesis and test the hypothesis.An automobile assembly line operation has a scheduled mean completion time, μ , of 15 minutes. The standard deviation of completion times is 1.4 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 60 completion times under new management was taken. The sample had a mean of 14.9 minutes. Can we support, at the 0.1 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal…
- Assume that an internet provider monitors the amount of time that every customer accesses their home internet connection each day. The amount of time that all of their customers access their home internet connection is normally distributed. They access it for an average of 8.9 hours per day with a standard deviation of 2.1 hours. What proportion of samples of 100 will spend less than an average of 9 hours on their home internet per day? Your answer should have 4 decimal places.A fast-food franchise, looking to reduce wait times for customers, launched a pilot program where customers could use a smartphone app to place orders. The mean wait times (in seconds) for in-store and drive-through customers at 10 stores participating in the pilot program and at 10 stores not in the program are recorded. Assume that the population standard deviation of mean wait times is 30 seconds for both groups of stores and that the mean wait times are normally distributed for both groups of stores. Let the mean wait times of the stores not in the program be the first sample, and let the mean wait times of the stores in the program be the second sample. The franchise conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that the smartphone app reduces wait times. (a) H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test. Mean Wait Time: Not In Program Mean Wait Time: In Program 275 176 284 218 307 261 290 252 351 238…An automobile assembly line operation has a scheduled mean completion time, µ, of 15.2 minutes. The standard deviation of completion times is 1.3 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 70 completion times under new management was taken. The sample had a mean of 15 minutes. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. P H : H :0 (b) Determine the type of test statistic to use. O=0 OsO (Choose one) (c) Find the value of the test statistic. (Round to three or more…