Forty-minute workouts of one of the following activities three days a week will lead to a loss of weight. Suppose the following sample data show the number of calories burned during 40-minute workouts for three different activities. Swimming Tennis Cycling 413 420 390 375 480 250 430 455 300 395 425 397 427 535 268   Do these data indicate differences in the amount of calories burned for the three activities? Use a 0.05 level of significance. State the null and alternative hypotheses.   -H0: All populations of calories burned are identical. Ha: Not all populations of calories burned are identical. -H0: MedianS ≠ MedianT ≠ MedianC Ha: MedianS = MedianT = MedianC     -H0: Not all populations of calories burned are identical. Ha: All populations of calories burned are identical. -H0: MedianS = MedianT = MedianC Ha: MedianS < MedianT > MedianC -H0: MedianS = MedianT = MedianC Ha: MedianS ≠ MedianT ≠ MedianC   Find the value of the test statistic.Answer=??   Find the p-value. (Round your answer to three decimal places.) p-value =??   What is your conclusion? -Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. -Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.     -Reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities. -Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the amount of calories burned for the three activities.

The height (in feet) and trunk circumference (in inches) at breast height (4.5 feet above the ground)was measured for a random sample of Eucalyptus trees. The data are summarized below.Trunk Circumference 21.1 20.8 22.5 19.4 23.6 19.8 21.6 19.9Tree Height 34.2 32.7 35.0 31.9 36.5 31.2 33.8 31.4(a) Determine the linear regression model that will best predict the height of a Eucalyptus treebased on its trunk circumference at breast height.

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 900 men and 400 women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?                 Gender of Interviewer         Man Woman     Women who agree   625 330     Women who disagree   275 70     Compute the test​ statistic, rounding to three decimal places. Find the critical​ value(s). (Round to three decimal places) What is the conclusion based on the hypothesis​ test?

Classify the two given samples as independent or dependent.   Sample​ 1: The SAT scores for 33 high school students who did not take an SATpreparation course Sample​ 2: The SAT scores for 43 high school students who did take an SAT

Course/Year 1. Brian, a college administrator, claimed that there was no difference in averages of students coming from three nearby schools A, B, and C. Use the following data to test his claim with a 1% significance level. Ex A-420 2x² 253 Ex B 340 SANOVA Table: 4 Source of Variation Between - column Within - column Total A A. Ho: B. a: 0.01 C. B C 3 _M₁ = M₁₂₁ = M²3 Sum of Squares 2.25 Compute for sum of squares D. Compute for degrees of freedom 84 88 88 E. Compute for mean sum of squares F. Compute for F-value 82 83 80 df 2 Ha: STUDENTS 89 82 89 Mean Sum of Squares 85 83 80 F-value Mr & Mr & M²₂ n₁ = √=n²₁₂₁ = 3 - N = 12 7 Critical Value / Tabular Value Decision

Listed 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.)

Consider a sample with data values of 10, 20, 15, 16, and 18. Compute the range and interquartile range.

Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week.   Participant Stress 1 Stress 2 1 22 22 2 32 34 3 24 25 4 28 30 5 26 29   What test should be used to test for differences in stress at these two time-points? Select one: a. paired samples t-test b. independent samples t-test c. Pearson correlation d. single sample t-test

Listed below are times (in minutes and seconds) that a statistics instructor recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.10 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 Mile 2 Mile 3 3:18 3:25 3:31 3:14 3:30 3:31 3:15 3:25 3:35 3:20 3:26 3:28 3:16 3:24 3:27 First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. O B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. O C. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O D. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that…

What is one indication that there are paired samples in a data set? Choose the correct answer below. O A. Knowing the value that a subject has in one group gives one no information about the value in the second group. OB. Each observation in one group is coupled with one particular observation in the other group. OC. The researcher is comparing two populations. O D. The researcher is working with two distinct groups in the data set.