Consider the distribution below. Compute for the mean and variance. 10 20 30 40 50 P(x) 5% 5% 25% 20% 30% 15%
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Q: Statistics students believe that the mean score on a first statistics test is 65. The instructor…
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Q: 609001 2 51800
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A: here given to sample data and assume that population variance are not equal
Q: Statistics students believe that the mean score on a first statistics test is 65. The instructor…
A: Given : Statistics students believe that the mean score on a first statistics test is 65. The…
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Q: Statistics students believe that the mean score on a first statistics test is 65. The instructor…
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Q: find the mean, variance and standard deviation.
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- Statistics students believe that the mean soore on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 96 69 83.2 69 65 85.5 74.4 65 85.5 66.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: H: Ομ 65 B. State the mean of the sample: (Round to two decimal places.) C. State the standard error of the sample means: (Round to four decimal places.) D. State the test statistic: t = (Round to four decimal places.) E. State the D-value; (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Reject the null hypothesis. Submit Question1. Commute the range for baseball coaches yearly salaries. 2. Compute the mean yearly salary. 4. Compute the variance and the standard deviation for the yearly salary. Show you calculation. 4. Compute the coefficient of the variation.Answer fast please
- Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…1. Compare the appropriate measure of center based on the shapes of the distributions. Explain your choice.2. Compare the appropriate measure of variability based on the shapes of the distributions. Explain your choice. 3. Which company is better to work for if you are an average worker?54. Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. They weigh this weight on the scale 50 times and read the result each time. The 50 scale readings have a sample mean of = 1000.6 grams. The scale is out of calibration if the mean scale reading differs from 1000 grams. The technicians want to perform a hypothesis test to determine whether the scale is out of calibration. a. State the appropriate null and alternate hypotheses. b. The standard deviation of scale reading is known to be σ = 2. Compute the value of the test statistic. c. State a conclusion. Use the α = 0.05 level of significance.
- The following data shows how long 40 randomly selected dinein customers stayed at a certain coffee shop. Calculate the MEAN, MEDIAN, MODE, VARIANCE, STANDARD DEVIATION, and the COEFFICIENT OF VARIATION.Use the following returns for X and Y. Year Returns X Y 1 21.9% 26.7% 2 −16.9 −3.9 3 9.9 28.7 4 19.8 −14.8 5 4.9 32.7 Calculate the average returns for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616. Calculate the standard deviations for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.For the following table represents the statistical data for ages and their frequencies. Find the following: the mean, median, mode, mean absolute deviation, standard deviation, and Coefficient of Variance. 10-12 13-15 16-18 19-21 22-24 25-27 28-30 Age Frequency №: 43 2R 6R 10R 5R IR G: 1 16R 8R R-(N+5+G)
- In order to use the defining formula for variance, we must calculate (x − x)2 for each data value in the data set 14, 18, 22, 26, 33. Use the values in the data set and the mean x = 22.6 to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16ASAP
