Expected value b Variance c Standard Deviation
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a Expected value
b Variance
c Standard Deviation
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- Statistics and ProbabilityWaiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two samples, then compare the two sets of results. Single Line 6.3 6.6 6.7 6.8 6.9 7.3 7.6 7.7 7.7 7.7 Individual Lines 4.2 5.2 5.9 6.2 6.5 7.7 7.7 8.7 9.4 9.8 ... The mean waiting time for customers in a single line is minutes.Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. H2 39 34 2.35 2.69 0.94 0.67 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1=Hz H1: H1> H2 O B. Ho: H1Hypothesis Testing- 2 samples The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.7. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Use ? = 0.05) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part 1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) Part 2) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t…Diet Regular Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. P2 39 39 0.79824 lb 0.00435 lb 0.81781 lb 0.00756 lb 康 ※ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O B. Ho H1 = H2 H H2 O A. Ho H H2 O D. Ho: H1 H2 H #2 O C. Ho H H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is .(Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of…The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.264 0.299 0.245 0.136 0.036 0.018 Mean Variance Statndard Deviation Interpret the results The mean is ? so the average batch of 1000 machine parts has ? The standard deviation is?so the typical number of defects in a batch of 1000? ▼AnkitRange, Variance, and sample standard deviation Given the data set below. Find the mean, median, mode, range, sample variance, and sample standard deviation 000000000 00 1 0 0 0 00 1 0 100 002 00 00 00 2 0 0 1 00 1 0 1 00 001 001000 1 0 00 0 0 1 0 0Probability Scores 0.05 3 0.05 6 0.05 7 0.45 11 0.4 14 Find the variance of the above random variable random variable.Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard H1 H2 23 23 deviations are equal. Complete parts (a) and (b) below. 0.57 0.39 0.62 1.29 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O A. Ho: H1 =H2 O B. Ho: H1 H2 H1: H1What is the value of the variance of weight gain for the off-campus students? (Round your answer to two decimal places.)Treatment Sham H2 Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 30 30 0.51 0.37 0.56 1.42 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? A. Ho: H1 = H2 H4: H1 # H2 B. Ho: H1 = H2 H1: H1> H2 C. Ho: Hy # H2 H1: H1SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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