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Consider the following hypothesis test: Ho: [1. = 18 H... p. a 18 A sample of 48 provided a sample mean 5 = 17 and a sample standard deviation s = 4.9. Enter negative values as negative numbers. 3. Compute the value of the test statistic (to three decimal places). -0 b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the pvalue (to two decimal places). p-value is between 9 and 9. c. At a = 0.05, what is your conclusion? pvalue is greater than or equal to 0.05, reject v 0 Ho . d. What is the rejection rule using the critical value? Reject Ho if t is greater than or equal to -2.012 V 0 or t is greater than or equal to 2.012 V 9. What is your conclusion (to three decimal places)? = , o ' . t Sci9H0 Hide Feedback Consider the following hypothesls test: Hozu=90 Hazy-7590 A sample of 55 is used. Identify the pvalue and state your conclusion for each of the following sample results. Use a = 0.05. Round the value of the test statistic to three decimal places. If required enter negative values as negative numbers. 3.5 =95 and .9 =12.5 t-value p-value conclusion b. 5 = 86.5 t-value p-value conclusion % - Select your answer V - Select your answer v H0 and s = 10.5 a - Select your answer . v - Select your answer . v H0 (2.? =93 and s: 11.5 t-value p-value conclusion - Select your answer - v - Select your answer - v Ho Check My Work (3 remaining) A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive ofcer (CEO) was at least nine years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of E = 7.76 years for CEOs with a standard deviation of s = 6.03 years. a. Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group. How9 Hwy9 b. Assume 75 companies were included in the sample. What is the p-value for your hypothesis test? Enter negative value as negative number. tvalue l V l (to 3 decimals) p-value - Select your answer - v c. At a = 0.01, what is your conclusion? - Select your answer- v the null hypothesis. We enough evidence to disprove the shareholder group's claim. Check My Work (3 remaining) 0, Icon Key Joan's Nursery specializes in customdesigned landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 2.4 1.6 26 2.5 3.1 1.4 2.4 2.8 1.7 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. a. State the null and alternative hypotheses. H, :11 -Select youranswer- v 2 b. Compute the sample mean. l (to 2 decimals) c. Compute the sample standard deviation. l (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B,) t l l (to 3 decimals) p-value e. What is your conclusion? We reject the null hypothesis. There enough evidence to prove that the mean tree-planting time differs from 2 hours. Eagle Outtters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all its credit card customers. This promotion will be considered a success if more than 10% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers Click on the datafile logo to reference the data. DATA a. Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. HM 11.. b. The file Eagle contains the sample data. Develop a point estimate of the population proportion (to 2 decimals). iii 1:. Use a = 0.05 to conduct your hypothesis test. Should Eagle go national with the promotion? | - Select your answer - v Check My Work (3 remaining) A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchupt a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%t Ho; ,, H,: p - Select your answer - v b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the prvalue (to 4 decimals)? c. At a = 0.05, what is your conclusion? p-value -Selectyouranswer- v Ho 11. Should the national brand ketchup manufacturer be pleased with this conclusion? - Select your answer - v Last year, 44% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number. b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses. HPEOM HPEOM Compute the test statistic and p-value. z-value l (to 2 decimals) p-value l (to 4 decimals) l:. Using a 0.01 level of significance, would you conclude that the proportion of business owners providing gifts decreased? I - Select your answer - v I Ho, We I - Select your answer - v conclude that the proportion of business owners providing gifts has decreased from last year to this year. What is the smallest level of signicance for which you could draw such a conclusion? l (to 4 decimals) Check My Work (3 remaining)