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- The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours and that the number of hours of sleep follows a bell-shaped distribution. a. Use the empirical rule to calculate the percentage of individuals who sleep between 4.5 and 9.3 hours per day. b. What is the z-value for an adult who sleeps 8 hours per night? c. What is the z-value for an adult who sleeps 6 hours per night?A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a = 0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse Weight (before) Weight (after) ... D. Ho Pd 20 1 2 3 4 5 6 22.9 23.1 21.1 20.1 19.1 20.1 21.5 22.3 20.3 19.6 18.1 19.0 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) OA. t 2015 OC. (c) Calculate d and sd- d= 0.933 (Round to three decimal places as needed) Calculate Sa- Sd=0.308 (Round to three decimal places as needed.) (d) Find the standardized test statistic t t= (Round to two decimal places as needed) O E. Ho Hd = 0 Ha Pd 20 a cu OF. Ho: Hasd Ha: Hy> dSuppose the following data represent the number of persons unemployed for a given number of months in Killeen, Texas. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Let x be a random variable indicating the number of months a randomly selected person is unemployed. Use the data to develop an empirical discrete probability distribution for x. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. What is the probability that a person is unemployed for two months or less? Unemployed for more than two months? What is the probability that a person is unemployed for more than six months?
- 1. An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost for apartments, based on the size of an apartment, as defined by square footage. The agent selects a sample of 25 apartments in a particular residential neighborhood and gathers the following data: (pic) a. Construct a scatter plot. b. Use the least-squares method to determine the regression coefficients b0 and b1A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At α = 0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse Weight (before) Weight (after) 5 6 1 2 3 4 22.9 23.1 21.1 20.1 19.1 20.1 21.5 22.3 20.3 19.6 18.1 19.0 U. Pneumonia causes weight loss in mice. Let μd be the hypothesized mean of the difference in the weights (before-after). What are Ho and H₂? A. Ho Hd 20 H₂- P 2015 ○ C. t (c) Calculate d and sd- (Round to three decimal places as needed.) a HP #0 GAV OC. Ho Hd #0 Ha d=0 OE Ho Hd ≤d Ha->dGiven the following table. Calculate the mean number of children per family for the sample. * Number of children | Number of families 8. 1. 16 2. 22 14 2 1.91 2.47 O 3.14 O 2.19 O O
- S4 E. Babies come in all shapes and sizes when they are born, so we are often interested in what variables may help determine a baby's birthweight. In particular, we want to know if a longer gestational period (in weeks) will increase the baby's birthweight (in grams). A random sample of first-time mothers was selected and for each mother her gestational period and baby's birthweight were recorded. What is the explanatory variable? Select one: O a. birth weight Ob. gestational period O C. babies O d. mothers quiz/attempt.php?attempt3D263019&cmid%3D277919# to search 国 童 0 Jade F10 F11 PrtSc F7 F8 F4 F5 Scr Lk SysRq Coca) #3 %24 8. 6Return to the waiting times given for the physicians office in Problem 19. a. Considering only offices without a wait-tracking system, what is the z-score for the 10th patient in the sample (wait time 5 37 minutes)? b. Considering only offices with a wait-tracking system, what is the z-score for the 6th patient in the sample (wait time 5 37 minutes)? How does this z-score compare with the z-score you calculated for part a? c. Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? Based on z-scores, do the data for offices without a wait-tracking system contain any outliers? 19. Suppose that the average waiting time for a patient at a physicians office is just over 29 minutes. To address the issue of long patient wait times, some physicians offices are using wait-tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (in minutes) for a sample of patients at offices that do not have a wait-tracking system and wait times for a sample of patients at offices with such systems. a. What are the mean and median patient wait times for offices with a wait-tracking system? What are the mean and median patient wait times for offices without a wait-tracking system? b. What are the variance and standard deviation of patient wait times for offices with a wait-tracking system? What are the variance and standard deviation of patient wait times for visits to offices without a wait tracking system? c. Create a box plot for patient wait times for offices without a wait-tracking system.The following data shows the results for 20 students in one of the post graduate unit.42 66 67 71 78 62 61 76 71 6761 64 61 54 83 63 68 69 81 53Based on the information given you are required toCompute the mean, median and mode.
- The height of an adult giraffe has a normal distribution with mean 19 feet and standard deviation 0.8 feet. The tallest 11% of adult giraffes have height more than what value?H2020 Winter 2024 mework: 7.3 HW-Estimating a Population Standard Deviatio Question 8, 7.3.21-T Part 1 of 4 julio lugo 04/11/24 1:08 PM HW Score: 76.89%, 11.53 of 15 points Points: 0 of 1 Save Refer to the accompanying data set on wait times from two different line configurations. Assume that the sample is a simple random sample obtained from a population with a normal distribution. Construct separate 90% confidence interval estimates of a using the two-line wait times and the single-line wait times. Do the results support the expectation that the single line has less variation? Do the wait times from both line configurations satisfy the requirements for confidence interval estimates of a? Click the icon to view the data on wait times. Construct a 90% confidence interval estimate of σ using the two-line wait times ☐ second(s) << second(s) (Round to the nearest whole number as needed.) Question ViewerA researcher wants to estimate the average monthly income of individuals in a certain city. A random sample of 20 individuals is selected, and their monthly incomes (in dollars) are recorded as follows: 2,500 2,800 3,000 3,200 3,400 3,500 3,600 4,100 4,200 4,300 4,500 4,600 4,700 4,900 3,700 3,800 4,000 5,000 5,200 5,500 Assuming the incomes are normally distributed, calculate the 90% confidence interval for the average monthly income of individuals in the city.. Please show all the necessary steps and provide your answer with the appropriate interpretation. Hints: • Calculate the sample mean and sample standard deviation. . Determine the critical value (t-value) for a 90% confidence level. • Calculate the margin of error using the critical value and sample standard deviation. • Calculate the lower and upper bounds of the confidence interval using the sample mean and margin of error. • Interpret the confidence interval in the context of the problem. I