It is known that from the population of employees of a company a sample of 100 people is taken and their annual salaries are recorded. The average and standard deviation of their salaries are X = IDR 30,000,000 and S = IDR 6,000,000. If the confidence interval value to estimate is 80%. What is the actual average salary of the employees in the company?
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Estimation Theory
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- A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle has a recharging time that has a uniformly distributed between 70 and 110 minutes. What is the expected recharging time in minutes?(Enter your answer with no decimal places).During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 350 donors, 40 have hypertension. All answers to three places after the decimal .Assuming our sample of donors is among the most typical half of such samples, the true proportion of college students with hypertension during finals week is between and .We are 99% confident that the true proportion of college students with hypertension during finals week is , with a margin of error of .Assuming our sample of donors is among the most typical 99.9% of such samples, the true proportion of college students with hypertension during finals week is between and .Covering the worst-case scenario, how many donors must we examine in order to be 95% confident that we have the margin of error as small as 0.01?
- In response to concerns about the nutritional contents of fast foods, McDonald’s announced that it would use new cooking oil for its french fries that would decrease substantially trans fatty acid levels and increase the amount of more beneficial poly-unsaturated fat. The company claimed that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion). Let X denote the number of individuals who can taste the difference between the two oils in a random sample of 1000 individuals who have purchased fries at McDonald’s. Use the normal approximation with continuity correction to find the probability that at most 5% can taste the difference between the two oils.A company pays its employees an average wage of $22.50 an hour with a standarddeviation of $2.30. If the wages are approximately normally distributed and paid to thenearest centavos, what percentage of the workers receive wages between $20 and $23.50?In response to concerns about nutritional contents of fast foods, McDonald’s announced that it would use a new cooking oil for its french fries that would decrease substantially trans fatty acid levels and increase the amount of more beneficial poly-unsaturated fat. The company claimed that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion). Let X denote the number of individuals who can taste the difference between the two oils in a random sample of 1000 individuals who have purchased fries at McDonald’s. If it turns out that 65 individuals in the sample can taste the difference between the two oils, would you question McDonald’s claim? Explain why or why not.
- In response to concerns about nutritional contents of fast foods, McDonald’s announced that it would use a new cooking oil for its french fries that would decrease substantially trans fatty acid levels and increase the amount of more beneficial poly-unsaturated fat. The company claimed that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion). Let X denote the number of individuals who can taste the difference between the two oils in a random sample of 1000 individuals who have purchased fries at McDonald’s Find the Distribution of X.The police tested 550 people, to see if anyone would match the partial fingerprint at the crime scene. The probability of getting a false-positive result for a single person, was 0.3%. Using the same formula and method as shown in the video: What would be the new approximate percentage probability of getting at least one false-positive result, if 550 people are still tested, but the probability of getting a false-positive result for a single person was 0.4% instead of 0.3% ? (Assume all other aspects of the situation are the same as in the original problem, with the only change being the probability of getting a false-positive result for a single person.) Round to four digits past the decimal point, and include a percentage symbol in your answer (with no spaces).(a) Calculate a 95% two-sided CI for the true average bond strength. (b) Calculate a 95% two-sided CI for the proportion of all such bonds whosestrength values would exceed 10. show major intermediate steps.
- Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $40,000 per year. Find the amount of money that 25% of the workers make more than that value?During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 350 donors, 40 have hypertension. All answers to three places after the decimal. Covering the worst-case scenario, how many donors must we examine in order to be 95% confident that we have the margin of error as small as 0.01? Using a prior estimate of 15% of college-age students having hypertension, how many donors must we examine in order to be 99% confident that we have the margin of error as small as 0.01?Assume that last year in a particular state with 700000 children there were 1471 children out of 32500 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally? Test at the 1% level.