. TRUE or FALSE. Determine if the statement is always true or could be false. You may optionally give a brief description of your reasoning to ensure the chance for partial credit if you are queasy about your answer.
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Part G
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- What type of statistical test are you conducting if h1 states that the parameter is greater than the value claimed in h0? a) left-tailed b) right-tailed c) two-tailed d) dove-tailed1. Members of the city council want to know if more than 50% of city residents support a 1% increase in thesales tax to fund road repairs. To investigate, they survey a random sample of 300 city residents. 138residents support the sales tax increase.a. State the hypotheses and define the parameter. b. The P-value is 0.18. Interpret the P-value in the context of the problem. c. What conclusions should be made at α = 0.05? d. Describe a Type I and Type II error for this situation.1. The value of a statistic used to estimate a parameter is called a ________ ofthe parameter.
- a. Which of the two excel outputs above is the correct result of the data?b. What is the appropriate set of hypotheses for this test?c. From the given results above, which test is appropriate to test the significant difference between the heat-producing capacities of the coal from the mines?d. What is the t- critical value?e. What is the p-value?f. At α=0.05, what is the correct decision?A scientist studying local lakes claims that there is a linear relationship between a lake’s level of mercury and the lake’s depth. The scientist collected data to test the claim at a significance level of α=0.01. The following hypotheses were tested. H0:β1=0Ha:β1≠0 The test yielded a t-value of 2.7 and a p-value of 0.012. Which of the following is a correct conclusion about the scientist’s claim? The null hypothesis is rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. A The null hypothesis is not rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. B The null hypothesis is rejected since 0.012>0.01. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth.…Claim:More than 3.5% of homes have only a landline telephone and no wireless phone. Sample data: A survey by the National Center for Health Statistics showed that among 12,313 homes 5.77% had landline phones without wireless phones. Complete parts (a) and (b). Question content area bottom Part 1 a. Express the original claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone. ▼ muμ sigmaσ pp ▼ equals= less than< not equals≠ greater than> enter your response here (Type an integer or a decimal. Do not round.) Part 2 b. Identify the null and alternative hypotheses. H0: ▼ muμ pp sigmaσ ▼ greater than> less than< not equals≠ equals= enter your response here H1: ▼ pp sigmaσ muμ ▼ less than< equals= greater than> not equals≠ enter your response here (Type integers or decimals. Do not round.)
- For each of the following settings, define the parameter of interest and write the appropriate null and alternative hypotheses for the test that is described. Scenario 1: In an avocado, the average seed diameter is 1 inch. However, you are an avocado expert and you believe that the average seed diameter is increasing recently.For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.The quality inspector of a certain factory states that 3% of outgoing products have major defects. A sample of 200 products have 5 defective products. Is there strong evidence that the statement of the quality inspector is true? Use ?=0.05 Find the: Parameter of interest: ? Null hypothesis: ? Alternative hypothesis: ? Test statistic: ? Reject H0 if: ? Computations: ? Conclusion: ?
- The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. a. Use ? = .01 to test the hypotheses for the model y = ?0 + ?1?1 + ?2?2 + ?, where: H0 : ?1 = ?2 = 0 Ha : ?1 and/or ?2 ≠0 Compute the F test statistic (to 2 decimals). b. Use ? = .05 to test the significance of ?1. Compute the t test statistic (to 2 decimals). c. Use ? = .05 to test the significance of ?2. Compute the t test statistic (to 2 decimals). d. The owner plans to spend (in $1000s) $4.5 on television advertising and $3.6 on newspaper advertising. What is the expected revenue (in $1000s) for this advertising combination (to the nearest whole number)?Note- bolded quiz have already answered A possible important environmental determinant of lung function in children is the amount of cigarette smoking in the home. Suppose this question is studied by selecting two groups: Group 1 consists of 23 nonsmoking children 5-9 years of age, both of whose parents smoke, who have a mean forced expiratory volume (FEV) of 2.1 L and a standard deviation of 0.7 L; group 2 consists of 20 nonsmoking children of comparable age, neither of whose parents smoke, who have a mean FEV of 2.3 L and a standard deviation of 0.4 L.*8.31 What are the appropriate null and alternative hypotheses to compare the means of the two groups? *8.32 What is the appropriate test procedure for the hypotheses in Problem 8.31? *8.33 Carry out the test in Problem 8.32 using the criticalvalue method. *8.34 Provide a 95% CI for the true mean difference in FEV between 5- to 9-year-old children whose parents smoke and comparable children whose parents do not smoke. *8.35 Assuming…If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistent