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- The dotplot below dis plays the difference in scores for 18 games between a high school soccer team and its opponent. Difference in Score -2 -1 0 1 2 3 4 Team Score Minus Opponent Score Which of the following best describes the shape of the distribution? skewed to the left bimodal symmetric skewed to the right O unimodal symmetric •.-Cal Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume that 30 students registered for the course. Let X be the number of students who withdraw. What distribution does X follow?* Grades for Ivan Zepeda: 40231 X A HW 9.5 + instructure.com/courses/2177802/assignments/13744607 A Maps Test the claim that the mean salary in a town is at most $54000. A random sample 33 salaries yields an average of $54536.16. Use a = 0.01, and assume that o = $1400. 1. The sample size restriction for this test is: O Need at least 5 successes and 5 failures O Need n > 30 O None needed since population is normally distributed e The hypotheses are: О Но:р — 54000; На:р + 54000 O Ho:p 54000 O Ho:p > 54000; Ha:p 54000 or O Ho:µ > 54000; Ha: µ < 54000 2. This is a O rightO twoO left tailed test and the distribution used is OT since o not known Oz since o known OZ since testing a proportion The Degrees of Freedom are O 32 O 3 ON/A since this is a Z-test 3. The STS (round to 3 decimals) is:
- The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 358, 388, 362, 382, 371, 385, 384, 393, 403, 389, 405 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho? Select an answer♥ H₁ PS Select an answer c. The test statistic ? (please show your answer to 3 decimalThe percent defective from an incoming lot is 3%.An OC curve showed the probability of acceptance to be 0.55.Given a lot size of 2,000 and a sample of 100, determine theaverage outgoing quality in percent defectiveA variable of a population has a left-skewed distribution. a. If a large simple random sample is taken from the population, roughly what shape will the distribution of the sample have? Explain your answer.b. If two simple random samples are taken from the population, would you expect the two sample distributions to have identical shapes? Explain your answer.c. If two simple random samples are taken from the population, would you expect the two sample distributions to have similar shapes? If so, what shape would that be? Explain your answers.
- der Describe the shape of the distribution. OA. The distribution is uniform. O B. The distribution is skewed to the right. OC. The distribution is skewed to the left. OD. The distribution is bell shaped.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?The average final exam score for the statistics course is 82%. 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 different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use (t-test for a population mean, z-test for a population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = ____ (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis.…
- A population has a normal distribution. A sample size of n is selected from this popuiation. Descriee theshape of the sampling distribution Of the sampre mean for eaen of the foliaung cars. a.73D23 b.n=450Thirty percent of the students in a class of 100 are planning to go to graduate school. The Variance of this binomial distribution is: A. 16 B. 21 C. 25 D. 36 Cat