b. Find the z-score for which the two-tail probability that falls more than z standard deviations from the mean in eit graph. (a) The z-score with a two-tail probability of 0.46 is (Round to two decimal places as needed.) (b) The z-score with a two-tail probability of 0.71 is (Round to two decimal places as needed.)
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The given two-tailed probability is 0.46.
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- The sale price of the 2021 infinity qx50 follow an approximately normal distribution. 60% of customers payed more than $40,000 for this car. 20% payed more than $38,000 for this car. What is the mean and standard deviation for this distribution?Assume that adults have IQ scores that are normally distributed with a mean of 98.8 and a standard deviation of 15.2. Find the probability that a randomly selected adult has an IQ greater than 122.2. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 122.2 is (Round to four decimal places as needed.)Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
- Suppose that time required to compete a 1040R tax form is normally distributed with a mean of 110 minutes and a standard deviation of 15 minutes. What proportion of the 1040R tax form will be completed in less than 121 minutes. Round your answer to at least 4 decimal places.Assume that adults have IQ scores that are normally distributed with a mean of 104.9 and a standard deviation of 16. Find the probability that a randomly selected adult has an IQ greater than 132.8. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 132.8 is (Round to four decimal places as needed.)The carbon dioxide emissions of EU nations had a mean of 7.9 and standard deviation of 3.6. Slovak Republic's observation was 6.7. Interpret its Z-score below. The z-score is -0.33. This indicates that the observation of 6.7 is a distance of [ Select ] [ Select ] [ Select ] the [ Select ]
- At night, John works occasionally as a waiter for his family's restaurant for which his monthly income is normally distributed with a mean of $1,579 and a standard deviation of $103. What is the probability that John will earn between $1,322 and $1,764 this month? (Keep 4 decimal places).Deandre is in his first semester at a certain university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score. Among all of the students in the course, the mean of the exam was 67 with a standard deviation of 3. Deandre scored a 62 on this exam. (a) Find the z-score of Deandre's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places. z=0 (b) Fill in the blanks to interpret the z-score of Deandre's exam score. Make sure to express your answer in terms of a positive number of standard deviations. Deandre's exam score was standard deviations (Choose one) ▼ the mean exam score among all students in the course. Calendar ... 80 F3 F4 F6 F7 F8 F9 F10 F11 云Suppose that you are designing an instrument panel for a large industrial machine. The machine requires the person using it to reach 2 feet from a particular position. The reach from this position for adult women is known to have a mean of 2.7 feet with a standard deviation of 0.5. The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.7. Both women's and men's reach from this position is normally distributed. If this design is implemented, (a) what percentage of women will not be able to work on this instrument panel? (b) What percentage of men will not be able to work on this instrument panel? (c) Explain your answers to a person who has never had a course in statistics. Click here to view page 1 of the table. Click here to view page 2 of the table. Click here to view page 3 of the table. Click here to view page 4 of the table.
- Assume that adults have IQ scores that are normally distributed with a mean of 95.4 and a standard deviation of 21. Find the probability that a randomly selected adult has an IQ greater than 134.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 134.1 is (Round to four decimal places as needed.)Help3 In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the standard error? (round to nearest hundredth) What is the Z obt? (round to the nearest tenth)