a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative? hypotheses? A. HO?: 2 H1?: ??2
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- 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? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that…1. 2. 4. 1. 2. The distribution of a sample of 100 test scores is mound-shaped and symmetrical, with a mean of 50 and a variance of 144. 3. a) b) c) 4. d) 3. a) a) A sample of 200 people were given a test. The distribution of the test scores was mound- shaped and symmetrical with a mean of 100. One person, whose test score was 125, was found to be at the 84th percentile. b) d) Answers: b) Approximately how many scores are equal to or greater than 74? What score corresponds to the 75th percentile? If the lowest and highest scores in this sample are 14 and 89, respectively, what is the range of the scores in standard deviation units? b) Assume that the 100 test scores still have a mean of 50 and a variance of 144, but now have a strongly negatively skewed distribution. At least how many of the scores fall between 32 and 68 in this distribution? What is the Z-score of a person whose test score is 70? Approximately how many people obtained scores greater than 135? Approximately how many…Which of the following can increase error in a statistical experiment? (Select all that apply) a. Convenience Sample b. Small sample size c. The sample that has the same characteristics as the population. d. None of these condition will increase error in statistical experiments.
- In a sample of 97 people who have had strokes, the average cholesterol level was 255 with a standard deviation of 56.9. In order to test the hypothesis (at the 10% level of significance) that the average cholesterol level of people who have had strokes was at least 240, what is the critical value? (please round your answer to 2 decimal places)Suppose that a certain paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who died of lung cancer. Tar Level Frequency Low 108 Medium 383 High 568 Very high 155 Assume that the sample is representative of male smokers who die of lung cancer. Calculate the value of the ?2 test statistic that could be used to test whether the proportions of male smoker lung cancer deaths are not equal for all of the four tar level categories. The expected values are 303.5 for each of the four cells. (Round your answer to three decimal places.) ?2 =help
- The following table represents a 2-factor experiment, with both factors A and B having two levels each. The numbers in each cell are the mean performance of participants' in each group after the experimental treatment. Note that one mean value is not given. What value of the missing mean would result in no interaction between factor A and factor B? O O O O 15 20 25 30 40 None of the above. B1 B2 A1 10 35 A2 5 ?Null and alternative hypotheses are statements incorporate a. population parameters. b. sample parameters. c. sample statistics. d. either population parameters or sample statistics.1. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.Refer to Exhibit 1. What are the numerator and denominator degrees of freedom for the F-test? A: for numerator and 26 for denominator. 2. Refer to Exhibit 1. The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)? A: 2.85 3. Refer to Exhibit 1. The sum of squares for between groups is SS Between Groups = 60. What is the Mean Square for between groups (MS Between Groups)? A: 20 4. If the significance level = 0.05, what is the conclusion?Using the a = 0.05 significance level, what is the conclusion? A: The null hypothesis is rejected: the means are significantly different. 5. A study compared testosterone levels among athletes in four sports: soccer,…
- Problem Solving. Solve the following problems. No immediate rounding. Round off final answers to three decimal places. A protective enchantment which alerts the Charms professor when a death eater attacks a magical school is designed to have a 90% reliability rate. Suppose that the nine magical schools equipped with this enchantment experienced an attack from the death eaters. Define the random variable X as the number of Charms professors alerted out of nine. Assuming that protective enchantment alerts are independent 1. Write down the associated PMF of X. 2. Compute for the probability of alerting at least 7 Charms professors.HelpYou wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.