Determine K and the distribution function.
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- Name That Distribution Shape For each distribution you describe, use the terms symmetric, skewed, bell-shaped, uniform, and bimodal where appropriate. As a test for fitness, students are asked to do as many push-ups as thoy can without stopping. 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 number of push-ups Share with ClassWhich of the following ?sample (unit: hours): 3.6, 4.8, 4.6, 6.7, 5.4, 5.7, 7.3, 9.4, 8.7, 5.1, 6.3, 4.7 a) assume the population is a gamma distribution, how to use this sample estimate the parameter of the distribution? b) assume the pupulation is a uniform distribution, how to use this sample to estimate the parameter of the distribution?
- Find the value of P if the mean of the following distribution is 12. T: 16 5 7 f: 6 8 15 9 P 11 13 8 4 O 79.00 O 24.33 O 7.97 O 78.33 O 9.19Direction: Determine each of the following areas of specific regions under the normal curve using probability notation. Then show each of these regions graphically. 1. At most z = -1.5 2. At least z = -2The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
- Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are given. Complete parts (a) through (c) below. 36 52 44 57 16 12 23 42 25 33 32 49 12 58 42 38 21 38 35 24 39 43 56 24 45 21 35 32 36 12 ..... (a) Find the mean and median of the data The mean is (Round to three decimal places as needed.) The median is (Type an integer or a decimal.) (b) Draw a stem-and-leaf plot for the data using one row per stem. Which stem-and-leaf plot below shows the data? O A. 1 59 O B. 1122456689 213456 3 25 4 22359 5 222346788 OC. 1 2234679 2 222345689 3 1224568 4 1358 5 56 O D. 12226 2113445 3 223556688 21359 3 1224588 4 222345678 4223459 5/22234666 5 2678 5 (c) Describe the shape of the distribution. Which description below best describes the shape of the distribution?Use the three distributions labeled i,ii,iii to answer the following questions (shown in picture upload)Which of the statement is NOT true of F distributions. a. There is only one F distribution for each pair of degrees of freedom. b. The F distribution is always positively skewed. c. The exact shape of the distribution is going to be determined by two degrees of freedom. d. Under a specific circumstance, the F distribution would be normal.
