Safari File Edit View History Bookmarks Window Help ( $ 1 7 9 8 Wed May 11 11:46 PM G webassign.net " HW 7 - TMTH 3360-2 (20948), section 2, Spring 2022 | WebAssign Course Hero Netflix 10. [-/8 Points] DETAILS MENDSTAT14 7.E.060 MY NOTES A A finite population consists of four elements: 6, 1, 4, 2. (a) How many different samples of size n = 2 can be selected from this population if you sample without replacement? (Sampling is said to be without replacement if an element cannot be selected twice for the same sample.) samples (b) List the possible samples of size n = 2. (Enter your samples as a comma-separated list. Use parentheses around each sample. For each sample, enter the elements as a comma-separated list from smallest to largest.) (c) Compute the sample mean for each of the samples given in part (b). (Enter your answers as a comma-separated list.) (d) Find the sampling distribution of X. p(x) = = for x = 1, 2, 3, 4, 5, 6 p(x) = - for all values of x p(x) = = for all values of x p (x ) = = for x = 1, 2 p(x) = = for x = 1, 2, 3, 4, 5, 6 Use a probability histogram to graph the sampling distribution of x. Probability Probability Probability Probability 0.35 0.35 0.35 0.35 0.30 0.30 0.30 0.30 0.25 0.25 0.25 0.25 0.20 0.20 0.20 0.20 0.15 0.15 0.15 0.15 0.10 0.10 0.10 0.10 0.05 oos 0.05 0.05 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 (e) If all four population values are equally likely, calculate the value of the population mean . (Enter your answer to two decimal places.) H = Do any of the samples listed in part (b) produce a value of x exactly equal to u? Yes, sample 1 produces a value of x equal to u. Yes, sample 2 produces a value of x equal to . Yes, sample 3 produces a value of x equal to . Yes, sample 4 produces a value of x equal to u. Yes, sample 5 produces a value of x equal to 4. 26,489 MAY 1 11 W X P MacBook AirSafari File Edit View History Bookmarks Window Help Q Wed May 11 11:46 . . . G O webassign.net C + "HW 7 - TMTH 3360-2 (20948), section 2, Spring 2022 | WebAssign Course Hero Netflix None of the samples produce a value of x equal to . 11. [-/4 Points] DETAILS MENDSTAT14 7.E.063. MY NOTES ASK YOUR TEACHER PRACTICE AND A certain type of automobile battery is known to last an average of 1160 days with a standard deviation of 50 days. If 100 of these batteries are selected, find the following probabilities for the average length of life of the selected batteries. (Round your answers to four decimal places. (a) The average is between 1150 and 1160 (b) The average is greater than 1170. (c) The average is less than 940. You may need to use the appropriate appendix table or technology to answer this question. 12. [-/4 Points] DETAILS MENDSTAT14 7.E.075. MY NOTES ASK YOUR TEACHER PRACTICE AN The number of wiring packages that can be assembled by a company's employees has a normal distribution, with a mean equal to 18.6 per hour and a standard deviation of 1.1 per hour. (a) What are the mean and standard deviation of the number x of packages produced per worker in an 8-hour day? (Round your standard deviation to three decimal places.) mean packages standard deviation packages (b) Do you expect the probability distribution for x to be mound-shaped and approximately normal? Explain. Yes, since the standard deviation is less than 3, the sampling distribution of the sum will be approximately normal Yes, since the original population is normal, the s distribution of the sum will also be approximately normal. No, since the original po mal, the sampling distribution of the sum will ot be approximately normal. No, since the original population is normal, the sampling distribution of the sum cannot be normal. No, since the standard deviation is more than 3, the sampling distribution of the sum will not be approximately normal. c) What is the probability that a worker will produce at least 149 packages per 8-hour day? (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer this question. 13. [-/4 Points] DETAILS MENDSTAT14 7.E.078. MY NOTES ASK YOUR TEACHER PRACTICE AN The table lists the number of defective 60-watt lightbulbs found in samples of 100 bulbs selected over 25 days from a manufacturing process. Assume that during this time the manufacturing process was not producing an excessively large fraction of defectives. Day 2 3 4 6 8 9 10 26,489 MAY 1 O 17 astv W XExplain how the chart can Values of x are plotted and should remain outside the range between the UCL and LCL. If not, the process she Values of x are plotted and should remain above the UCL. If not, the process should be checked. Values of x are plotted and should remain between the UCL and LCL. If not, the process should be checked. Values of x are plotted and should remain between the center line and LCL. If not, the process should be checked. Values of x are plotted and should remain between the UCL and center line. If not, the process should be checked. 3. [-/4 Points] DETAILS MENDSTAT14 7.E.051. Samples of n = 100 items were selected hourly over a 100-hour period, and the sample proportion of defectives was calculated each hour. The mean of the 100 sample proportions was 0.015. (a) Use the data to find the upper and lower control limits for a p chart. (Round your answers to three decimal places.) UCL = LCL = (b) Construct a p chart for the process. Proportion Proportion Proportion Proportion 0.10 0.10 0.20 0.10 UCL 0.15 UCL UCL 0.05 0.0 0.05 0.10 UCL 0.05 LCL LCL LCL LCL Day Day Day Explain how the chart can be used. Values of p are plotted and should remain within the control limits. If not, the process should be checked. Values of p are plotted and should remain between the center line and the UCL. If not, the process should be checked. Values of p are plotted and should remain outside the control limits. If not, the process should be checked. Values of p are plotted and should remain below the center line. If not, the process should be checked. Values of p are plotted and should remain between the center line and the LCL. If not, the process should be checked. . [4/4 Points] DETAILS PREVIOUS ANSWERS MENDSTAT14 7.E.053. A gambling casino records and plots the mean daily gain or loss from five blackjack tables on an x chart. The overall mean of the sample means and the standard deviation of the combined data over 40 weeks were (a) Construct an x chart for the mean daily gain per blackjack table. Sample Sample Sample Sample Mean 26,489 MAY 1 11 stv A"