As6. The variance of any processor in a scaled state; Prove that it is the smallest of the mean-square deviations in the same state that can be defined by subtracting any real constant multiple of the unit processor from the processor.
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As6. The variance of any processor in a scaled state; Prove that it is the smallest of the mean-square deviations in the same state that can be defined by subtracting any real constant multiple of the unit processor from the processor.
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- Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ , spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 31 minutes and the standard deviation of the times to be 15 minutes. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?313515 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot…Suppose you are given a collection of gold coins that includes a clever counterfeit coin (all the rest are genuine). The counterfeit coin is indistinguishable from the real coins in all measurable characteristics except weight. You have a scale with which you can compare the relative weights of coins. However, you do not know whether the counterfeit coin is heavier or lighter that the real coins. Your problem is to find the counterfeit coin and determine whether it is lighter or heavier than the rest. 1) Show that if there are 12 coins, the counterfeit coin can be found in three weighings. 2) Show that if there are 39 coins, the counterfeit coin can be found in four weighings 3) Show that if there are n >= 3 coins, the counterfeit coin can be found in log_3 2n weighings.Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately ?2 = 47.1. However, a random sample of 18 colleges and universities in Kansas showed that x has a sample variance s2 = 86.1. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Find a 95% confidence interval for the population variance. ased on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value > ?, we fail to reject the null hypothesis.Since the P-value > ?, we reject the null hypothesis. Since the P-value ≤ ?, we reject the null hypothesis.Since the P-value ≤ ?, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, there is insufficient…
- Which of the following statements is true of Group 2’s mean FIQ score? Group of answer choices: 1. Group 2’s mean FIQ score is higher than Group 1’s mean FIQ score 2. Group 2’s mean FIQ score is lower than Group 1’s mean FIQ score 3. Group 2’s mean FIQ score is higher than the mean FIQ scores for Groups 1 and 3 4. Group 2’s mean FIQ score is lower than the mean FIQ scores for Groups 1 and 3 None of the above Which of the following statements is true of Group 3’s mean FIQ score? Group of answer choices: 1. Group 3’s mean FIQ score is higher than Group 1’s mean FIQ score 2. Group 3’s mean FIQ score is lower than Group 1’s mean FIQ score 3. Group 3’s mean FIQ score is higher than the mean FIQ scores for Groups 1 and 2 4. Group 3’s mean FIQ score is lower than the mean FIQ scores for Groups 1 and 2 None of the aboveLet x be a random variable that represents the pH of CVS brand water. The mean of this x distribution is u = 6.5 pH. A new company wants to sell its water at CVS locations. However, CVS management believes that the new brand will have a mean pH different from the CVS brand water. A random sample of 70 water samples were taken from this new company's water and it was found that the sample mean was 7.2 pH and the sample standard deviation was s = 2.5 pH. Do the data indicate that the new company's water has a mean pH level greater than 6.5, which is the pH of the CVS brand water? Use a 5% significance level. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypothesis H1 for the problem. 2. Identify and test statistic, the p-value and the calculator key used. Test Statistic (t): (Round to three decimal places) = p - value: (Round to four places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject…A firm must decide between two different suppliers of lightbulbs. Management has decided to order from supplier A unless it can be proven that the mean lifetime of lightbulbs from supplier Bis superior. A test of 28 lightbulbs from A and 32 lightbulbs from B yielded the following data as to the number of hours of use given by each lightbulb: a 121 76 88 103 96 89 100 112 105 101 92 98 87 75 111 118 121 96 93 |82 105 78 84 96 103 119 85 84 b 127 133 87 91 81 122 115 | 107 109 89 82 90 81 104 | 109 110 106 85 93 90 100 122 117 109 98 94 103 107 101 99 112 90 Is there a significant difference between the two suppliers? Explain.
- 2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)Tiffany is a manager who needs to fire the worst performing 3% of employees. At her organization, employee performance is a normally distributed variable. Tiffany should fire employees who have a performance score that correspond with a z-score less than or equal to _____What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? |Ho: µ is ? |H: µ is ? In the context of this test, what is a Type II error? V? v when, in A Type II error is ? fact, u is ? | the hypothesis that u is ? Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making? ?
- 4.- For the following data set 10, 7, 6, k, 4, 7, 1, 10. Find the value of k so that (a) X = 6.25 (b) X = 7.5 Villalobos 2020 22 (c) M = 7 (d) MR = 10 CHAPTER 3. DATA DESCRIPTIONExecutives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ, spent by customers at the supermarkets has been reported to be 38 minutes, but executives have good reason to believe that u is different from 38 minutes. The executives hire a statistical consultant and ask her to perform a statistical test. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 10 minutes. Based on this information, complete the parts below. (a) what are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? Ho H₁ :0 (b) Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making? (Choose one) ▼ (c) Suppose the true mean shopping time spent by customers at the supermarkets is…Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shipping time, μ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 40 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 34 minutes and the standard deviation of the times to be 16 minutes. Based on the information, answer the questions below.