a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O B. Ho: H1 H2
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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…Test the claim that the proportion of people who own cats is significantly different than 10% at the 0.1 significance level. The null and alternative hypothesis would be: 0.1 Ha:p= 0.1 Hop 2 0.1 Ha p 0.1 H,:p 0.1 H, p 0.1 H,:p 0.1 H. p< 0.1 The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, 19% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis1. A study asked students to report their height and then compare to the actual measured height. Assume that the paired sample data are simple random samples and the differences have a distribution that is approximately normal. Reported Height Measured Height 67.9 69.9 64.9 68.3 68 71 63 70 71 60 65 64 54 63 66 72 70.3 60.6 64.5 67 55.6 74.2 65 70.8 a) State the null and alternative hypotheses. b) Use EXCEL to construct a 99% confidence interval estimate of the difference of means between reported heights and measured heights. Attach your printout to this question, where the reported height is column A, measured height in column B, and the difference in column C. i) Open Excel and click DATA on the ribbon of the Excel. ii) Click Data Analysis. If Data Analysis is not available, please follow the instructions in Assignment 1. iii) Select Descriptive Statistics and click OK. iv) Enter the range of the heights including the label (A1:A13). v) Select Labels in First Row. vi) Select Summary…
- State your conclusion to the hypothesis test. 21. A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old Totals Drama 8 15 11 34 Science Fiction 12 10 8 30 Comedy 8. 12 29 Totals 29 33 31 93 Provided the assumptions of the test are satisfied, state your conclusion to the test. Note: the p-value = 0.4594 a) Cannot be determined. b The data suggests that age and type of movie preferred are not independent. The data does not suggest that age and type of movie preferred are independent. c) The data does not suggest that age and type of movie preferred are dependent. d) The data suggests that age and type of movie preferred are dependent. . e)Which of the following is not a requirement for one-way ANOVA? ... A. The populations are approximately normally distributed B. The samples are independent of each other C. The populations have the same variance D. none of the other answers E. The populations have the same mean O F. The sample sizes from each population are the same1. For a random sample of 100 undergraduates, suppose the mean and standard deviation on the SAT math score is equal 508 and 100, respectively. Conduct a significance test to evaluate whether or not the mean score is equal to 500 at the 5% significance level. What would you conclude? A. We reject that the sample mean is equal to 500 B. We fail to reject that the sample mean is equal to 500 C. We reject that the population mean is equal to 500 D. We fail to reject that the population mean is equal to 500 2. For a random sample of 100 undergraduates, suppose the mean and standard deviation on the SAT math score is equal 508 and 100, respectively. Refer to your previous answer. Suppose the true population mean was actually 540. What was incorrect about the conclusion of the previous hypothesis test? A. We rejected the true null B. We calculated the incorrect value of the test statistic C. We failed to reject a false null D. We chose an incorrect significance level please…
- A hypothesis test is performed on the following where the claim is the null hypothesis Ho:p = 0.74 H :p+0.74 a.) What population parameter is being tested? a. proportion b. standard deviation C. mean d. variance b.) What type of hypothesis test is being performed? a. left-tailed b. right-tailed c. two-tailedI need help on this practice problemSuppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 14 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)? 128 189 139 148 186 141 163 101 195 142 174 114 196 191 a. z = -2.576 b. t = +1.796 c. t = + 1.771 d. z = + 1.796
- Another organization wants to perform a similar analysis on Department A’s and Department B’s performance evaluation scores. What is the Null Hypothesis (Ho:)? What is the Research Question or Alternative Hypothesis (Ha:)? Perform the t-Test and show the results (two sample assume equal variance). Dept A Dept B 3.1 3.1 3.6 3.1 3.2 3.2 3.5 3.4 3.1 3.2 2.9 3.3 3.5 3.1 3.6 2.9 3.7 3.1 3.5 3.6 2.9 3.2 3.2 3.3 3.6 3.4 3.5 3.3 3.4 3.1 2.9 2.8 3.4 2.9 3.3 3.1 3.5 3.2 3.4 3.11. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?Violation of which assumption below for the two-factor ANVOA is not a cause for concern with large sample sizes? a. The populations from which the samples are selected must have equal variances. b. The populations from which the samples are selected must be normal. c. A violation of any assumption below would be a concern, even with large sample sizes. d. The observations within each sample must be independent.