Researchers determine that 60 puffs tissues are the average number of tissues used during a cold. suppose a random sample of 100 puffs users yielded the following data on the number
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Researchers determine that 60 puffs tissues are the average number of tissues used during a cold. suppose a random sample of 100 puffs users yielded the following data on the number of tissues used during a cold: x̅=52 and s=22. Using the sample information provided, the value of the test statistic is?
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- The strength test carried out on samples of two yarns spun to the same count gave the following results Sample size Sample mean Sample Variance Yarn A 4 52 42 Yarn B 9 42 56 The strengths are expressed in pounds. Is the difference in mean strength significant of sources from which the sample are drawn?Alpha equals 0.01 level of significance for the given sample data.The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
- A software company is interested in improving customer satisfaction rate from the 60% currently claimed. The company sponsored a survey of 148 customers and found that 95 customers were satisfied. What is the test statistic z?According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, u, is now less than 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 27.2 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hYpothesis H,. OAn athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility. Frequency 2 1 15 30 3 27 4 10 8 6. 8 Find the 80th percentile.Consider the population with the values {2.1, 3.3, 7.6, 8.5), list all possible samples of size n = 2 WITH REPLACEMENT and find: d. population mean e. population variance f. population standard deviation. Please write your solutions in a legible manner and draw a box around your final answers.Calculate the z score given the following information: x=20 mean = 15 SD = 5Suppose the National Transportation Safety Board wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Test the claim that the mean pressure applied to the driver's head during a crash is equal for all three types of cars. Use a = 0.05 Compact Cars 643 Midsize Cars 469 Full-size Cars 484 655 m 427 456 20 Apple 702 525 A 402 Show your 6 steps labeled in order in the box below using the p-value method.A researcher wants to know if male and female college students differ with regard to their GPAs. She randomly gets 16 male and 16 female college students to report their GPAs. The males reported a mean GPA of 3.05 with a SS = 3.75. The females reported a mean GPA of 3.1 with a SS = 2.4. You are going to be conducting an independent samples t-test. Compute the independent samples t-statistic:a survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given the results of the survey, the probability that Pm > Pw is 0.216. c) given the results of the survey, the probability that Pm = Pw is 0.216. d) none of the above