Q5/ The harmonic mean of the frequency distribution is 47 70 87 45 17 33 90 57 72 65 69 35 49 40 10 22 29 70 44 77 45 59 54 53 66 81 67 41 19 71 80 87 50 58 22 Put these data in a frequency distribution with five classes of length 20, each starting from 1 to 100, meaning that the first class is from 1 to 20. Then find the relative and annual frequency distribution, and answer the following questions
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- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.015 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.The distance people travel to work on a typical day - The horizontal axis is the distance traveled in a person's daily commute. The vertical axis is frequency (number of people with that distance for their daily commute). Shape of distribution: uniform symmetric skewed left skewed right
- A sample of 2000 observations has a mean of 74 and a standard deviation of 12. Using Chebyshev’s theorem, find the minimum percentage of the observations that fall in the intervals x +/- 2s, x +/- 2.5s and x +/- 3s Note that x +/- 2s represents the interval x - 2s to x + 2s, and so on Also note that s is symbol for standard deviation in this exampleThe number of hours a lightbulb burns before failing varies from bulb to bulb. The population distribution of burnout times is strongly skewed to the right. The central limit theorem says that: (a) as we look at more and more bulbs, their average burnout time gets ever closer to the mean m for all bulbs of this type. (b) the average burnout time of a large number of bulbs has a sampling distribution with the same shape (strongly skewed) as the population distribution. (c) the average burnout time of a large number of bulbs has a sampling distribution with a similar shape not not as extreme (skewed not not strongly) as the population distribution. d. the average burnout time of a large number of bulbds has the sampling distrbution that is close to normal. d. the average burnout time of a large number of bulbds has the sampling distrbution that is exactly normal.The ages of the winners of a cycling tournament are aproximately bell-shaped. The mean age is 28.2 years, with a standard deviation of 3.7 years. The winner in one recent year was 29 years old. a) Transform the age to a z-score b) Interpret the results c) Determne whether the age is unusual. ---------------------------------------------------------- a) transform the age to a z-score z=_____ type an integer or decimal rounded to two decimal places as needed
- Find the standard deviation of te average temperatures recorded over a five-day period last summer: 12,25,19,22,18. pls use table for computationsThe age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.94 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. If such a child is at the 87th percentile, how old is that child? ____ years old.NINE Suppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 6.9 days.Suppose also that exactly 75% of 6 the cauliflower seeds germinate in 6 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
- Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 100 pounds and a standard deviation of 38.5 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. μx=nothingAbout 3% of the population has a particular genetic mutation. 700 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 700. (Round to 2 decimal places if possible.)