Compute for the standard deviation X f 0≤x≤ 6 6 6 < x < 12 8 12 ≤ x < 20 24 20
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- is it p=value is suppose to be 0.0401 not 0.0395 to according z-table of -1.75Suppose you are to create a frequency distribution with 6 intervals, that includes datapoints with a range of 86 datapoints with the smallest datapoint being 91 If the upper boundary of the first (lowest) interval is 104, what would be the best upper boundary of the second interval (to maximize prettiness)?Consider that the relation between the cost of production, the lot of size production and the number of labours if for a particular point the slop is change to another point where Xp=26 for X1, Xp=22 for X2, find the ANOVA table when the tabulated test is (1.93). Y: 10 , 20, 30, 40, 50 ,60 ,70 ,80, 90 ,100 X1: 5, 10, 15 ,20 ,25 ,30 ,35, 40 ,45 ,50 X2: 4 ,8, 12 ,16 ,20, 24 ,28 ,32, 36 ,40
- 27. Show that for a set of values of a continuous variable the sum of the absolute values of the deviation from the median is minimum.Solve for the:1. Mean2. Median3. Mode 4. Standard Deviationto generate 120 scores from the normal distribution with mean 75 and standard deviation 8. Determine the number of scores x such that 67≤x ≤83.
- A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results nequals 20 , x overbar equals53.2 words, sequals 16.5 words. Given that this dictionary has 1438 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.7 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 48.7 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed. What are the null and alternative hypotheses?Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 34 25 43 34 28 37 31 The sample mean is x ≈ 33.1 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 28 ml/kg; H1: μ > 28 ml/kg; right-tailed H0: μ = 28 ml/kg; H1: μ ≠ 28 ml/kg; two-tailed H0: μ ≠ 28 ml/kg; H1: μ = 28 ml/kg; two-tailed H0: μ = 28 ml/kg; H1: μ < 28 ml/kg;…4. The table below shows the length of time to brew coffee when Coffee Shop X opened for three days. Time (minutes) 0 and less than 4 4 and less than 8 Frequency 4 8 and less than 12 10 12 and less than 16 16 and less than 20 4. (i) Calculate the mean and standard deviation for the above data. Construct a histogram to represent the above data. Using the histogram, estimate the modal time spend to brew the coffee for Coffee Shop X and comment on the value obtained. Given that the mean and standard deviation of the length of time to brew the coffee for Coffee Shop Z were 11 and 5.235 respectively. Determine which Coffee Shop has a more consistent distribution. (ii) (ii) (iv)
- Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about ? = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 34 23 40 37 28 38 29 The sample mean is x = 32.714 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and ? = 4.75. Do the data indicate that Roger's red blood cell volume is different from ? = 28 ml/kg? Use ? = 0.01. (a) What is the level of significance?State the null hypothesis H0 and the alternate hypothesis H1 . H0 : ? H1 : ? What kind of test is this? left-tailed testtwo-tailed test right-tailed test (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x…Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 33 24 41 36 31 38 28 The sample mean is x ≈ 33.0 ml/kg. Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)Q\ For the next data: Class limit 13-19 20-26 27-33 34-40 41-47 48-54 55-61 62-68 Frequency 8 13 23 35 42 36 20 7 Calculate: 1- Arithmetic mean (X), Mode (X). 2- Standard Deviation (S), Coefficient of Variation (C,).
