a. Assuming that the variances in the population of times spent on the website per day are equal, is there evidence of a difference in the mean time spent on the website per day between males and females? (Use a 0.05 level of significance.) Let μ, be the mean daily time spent on the website for male college students and μ2 be the mean daily time spent on the website for female college students. Determine the hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ OB. Ho: H₁ H₂ H₁: H₁ = H₂ OD. Ho: H₁ H₂ H₁: Hy
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- The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among condiments, cereals, and desserts? Condidiments Cereals Desserts 270 260 100 130 220 180 230 290 250 180 290 250 80 200 300 70 320 360 160 What is an appropriate alternate hypothesis for this problem? (U= population mean for this problem) What is the appropriate critical value? What is the best test to use on a one-way analysis of a variance problem like this one? What is the…Data table Item Store A Store B Milk 2.24 1.33 Dozen eggs 2.33 2.09 Orange juice 2.01 2.53 Head of lettuce 1.99 1.34 Ground beef 4.99 3.72 Canned tuna 1.79 1.26 1.54 Granny Smith apples Box of linguini 1.67 1.97 2.09 Salmon steak 7.97 5.92 Chicken 2.22 2.05 Print DoneAnswer the following questions. 2A. The mean length of a work week for the population of workers was reported to be 45 hours. Suppose that we would like to take a current sample of workers to see whether the mean length of a work week has decreased from the previously reported 45 hours. Suppose a current sample of 100 workers provided a sample mean (?̅) of 42 hours and sample standard deviation (s) of 10 hours. Use 5% significance level to test whether the mean length of a work week has decreased from the previously reported 45 B. You have been asked to determine if male and female managers in a big company have the same level of education. Independent random samples were taken of 100 male managers and 100 female managers. For male managers, the sample mean was 16 years of schooling with sample standard deviation (s1) equals to 3. For female managers, the sample mean was 14 years of schooling with sample standard deviation (s2) equals to 4. Do you have any reason at the 5%…
- a. state the null and alternative hypotheses b. calculate the test statistic c. what are the df? what is the critical valueThe accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are n=36, x=12.192 oz, s=0.096 oz. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that cans of Coke have a mean volume of 12.00 ounces. Does it appear that consumers are being cheated? Click the icon to view the data set of regular Coke can volumes. Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 19 29 21 26 26 19 24 32 24 27 25 16 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient…
- What is the assumption of homogeneity of variance? Select all that apply. The standard deviations for the two sample means are not significantly different from the population standard deviation. a. b. The standard deviations for the two sample means are not significantly different from each other. The variances for the two populations being compared are equal. с. The variances for the two populations being compared are significantly different from each other.compare ihe altenuance al lNe res for a Saturday evening performance. He knows the mean and standard deviations for each theatre's usual attendance. Since the theatres have different seating capacity, he wants to use their relative measure of attendance as the basis for comparison. Using the information in the table below, which theatre has the relatively better attendance for a Saturday evening performance? Goodman Steppenwolf 454 Attendance 417 Mean St.dev. 383 34 438 20 a) What is Goodman's z-score? b) What is Steppenwolf's z-score? c) Which has better attendance?A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in means is significant, using a significance level of 0.05. Click the icon to view the data table. Let µBaseball be the population mean weight (in pounds) of male college baseball players and let uSoccer be the population mean weight (in pounds) of male college soccer players. Determine the hypotheses for this test. Ho: HBaseball - HSoccer %3D Ha: HBaseball- HSoccer + 0 Find the test statistic for this test. (Round to two decimal places as needed.)
- In a study of store checkout scanners, 1234 items were checked and 21 checked items were overcharges. Use a 0.05 significance level to test the claim that with scanners, 1% of sales are overchanrges. (Before scanners were used, the overcharge rate was estimated to be about 1%). a. Define the parameter A. p = The proportion of all sales that are incorrect B. p = The proportion of all sales that are overcharges C. mu = The mean number of sales that are overcharges D. mu = The proportion of all sales that are undercharges b. State the null and alternative hypotheses A. Upper H 0 : p equals 0.01 Upper H 1 : p not equals 0.01 B. Upper H 0 : p equals 21 Upper H 1 : p less than 21 C. Upper H 0 : p greater than 0.01 Upper H 1 : p equals 0.01 D. Upper H 0 : mu not equals 0.01 Upper H 1 : mu equals 0.01 c. Calculate the sample proportion ModifyingAbove p…According to data released by the Organization for Economic Cooperation and Development (OECD) in 2018, the French spend more time eating their meals than anybody else. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The given data represents the time, in minutes, that random French and American diners spent at lunch. Assume that the population variances are equal. American 21 French 24 17 18 O A. tx=2.34 O B. t=1.41 O C. t = 1.63 O D. t = -2.20 X 17 20 20 28 25 16 18 29 17 20 16 If Population 1 is defined as French diners and Population 2 is defined as American diners, then what is the test statistic for this hypothesis test? Round to two decimal places as needed. Clear all Check answerListed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother 64.0 66.0 63.0 62.0 66.5 66.0 65.0 60.0 67.0 63.0 Daughter 67.0 66.5 70.5 66.0 61.0 66.0 65.5 65.0 67.0 65.0 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha = 0 in. H₁ Hd 0 in. (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)