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In the last lab, we discovered that the ages of Oscar winning actors for the last 23 years is roughly symmetric and mound shaped. The distribution of ages for all Oscar winning actors at the time they receive the award is approximately normal with a mean of 44 years and standard deviation of 9 years.
The oldest actor to win the Oscar was Henry Fonda at age 76 for his performance in ‘On Golden Pond’. What percent of actors received the Oscar after the age of 70? Label and shade the picture of the area that represents this percentage below. You will notice that it is a right-tailed area.
Actors who receive the Oscar before their 25th birthday are considered exceptional. What percent of actors received the Oscar before age 25? Label and shade the picture of the area that represents this percentage below. You will notice that it is a left-tailed area.
What percent of actors received the Oscar between the ages of 55 and 70? Label and shade the picture of the area that represents this percentage below.
- The top 10% of actors received the Oscar after what age? Label and shade the picture of the area that represents this percentage below.
- The bottom 20% of actors received the Oscar before what age? Label and shade the picture of the area that represents this percentage below.
- The middle 80% of actors received the Oscar between what ages? Label and shade the picture of the area that represents this percentage below.
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- The top 10% of actors received the Oscar after what age? Label and shade the picture of the area that represents this percentage below.
- The top 20% of actors received the Oscar after what age? Label and shade the picture of the area that represents this percentage below.
- The top 10% of actors received the Oscar after what age? Label and shade the picture of the area that represents this percentage below.
- The top 20% of actors received the Oscar after what age? Label and shade the picture of the area that represents this percentage below.
- A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. What are the exam scores that separate the top and bottom 5 percent of the class (extreme 10%)? What are the exams scores that separate the middle 10% of the class (5% on each side of the mean)? What proportion of people scored in the A range (90 or above)? What proportion of people failed the exam (60 or beloarrow_forwardthe mean age at time of death in the US is 74.1 years and the standard deviation is 17.9 years At what age would you die, if only 1% of people die older than you?arrow_forwardPleasearrow_forward
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, H, of CEOS of major corporations is less than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 128 mm Hg and the standard deviation of the sample to be 16 mm Hg. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? |Ho: H is ? |H,: µ is ? In the context of this test, what is a Type II error? A Type II error is ? fact, µ is ? v the hypothesis that u is ? when, in Suppose that the researcher decides not to reject the null hypothesis. What sort of error might he be making? ? Continue Save For Later Submit…arrow_forwardThe chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, calculate the minimum test score needed to score in the top 5% of the class. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23. Relative Frequency Frequency Professor looks at all test score for a particular test (this is population data), and observes: 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 Mean = 74 Median = 74 Mode = 73 SD=9 0 0 0 up to 10 up 10 to 20 0 20 up to 30 0 30 up to 40 2 40 up to 50 29 50 up to 60 X = Score 112 60 up to 70 225 70 up to 80 111 80 up to 90 21 2 90 up 100 up to 100 to 110arrow_forwardA mathematics professor one to determine whether there is a different in the final average just between the past two semester (semester 1 and semester 2) of his business is statistics classes. For a random sample of 16 students from semester 1, the mean of the final averages was 75 with a standard deviation of 4. For a random sample of 9 students from semester 2, the mean was 73 with a standard deviation of 6. Choose the correct answerarrow_forward
- Find the range and standard deviation of the set of data 8,10,8,10,10,11,13 what is the range?arrow_forwardAccording to the New York Daily News, March 5, 2014, people 65 years and older watch an average of 50.5 hours of TV per week. We will estimate the standard deviation to be 12.7 hours per week. Your town has many social programs for senior citizens which may reduce the amount of TV that older people watch. You want to find out if it is true that people 65 and older in your town watch less than 50.5 hours of TV per week. So, you sample 40 people 65 and older in your town. You find that the average time that the 40 people watch per week is 45.8 hours. Can the claim be supported to a level of significance of α = .02, test the hypothesis?arrow_forwardForty refrigerators from two different models of a refrigerator manufacturer are compared to see if the smaller model uses less energy than the larger model. The energy was measured in kilowatt hours per month (kwh/mo). From years of testing these models, it is known that the standard deviation of kwh/mo is 34 kwh/mo for the smaller model and 40 kwh/mo for the larger one. From this survey, the sample means and standard deviations are 125 and 34, and 90 and 40, respectively. If we conduct a hypothesis test, the decision and conclusion are Group of answer choices Do not reject the null hypothesis and conclude that the average kwh/mo are the same. Reject the null hypothesis and conclude that the average kwh/mo are different. Reject the null hypothesis and conclude that the average kwh/mo for the smaller refrigerator is higher than for the larger model. Do not reject the null hypothesis and conclude that the average kwh/mo for the smaller refrigerator is higher than for…arrow_forward
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