The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in observing infants over time. It is approximately normal with a mean of 100← and a standard deviation of 16. Complete parts a through c.a. What proportion of children has an MDI of (i) at least 130? (ii) at least 90?(i) The proportion of children having an MDI of at least 130 is(Round to four decimal places as needed.)View an example Get more help.→L34EDC520RIRTF5-VB6YH76N&7U17J*8M1CHIFBK(9FROL)O>F19P:;command optionClear allSPHFAS{[?1Check answerF12}deletereturnshif

the mean 100the standard deviation 16

Answered: The Mental Development Index (MDI) of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Rachael got a 660 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have mean μ = 600 and standard deviation σ = 30, what is her standardized score?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 34 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 34 beats per minute significant?
The length of preg…
Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.22 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are at most 0.18 inches? Round your answer to at least four decimal places.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
The mean weight of the eight-month-old baby is 17.75 pounds with standard deviation 1.225 pounds. The mean weights are approximately normal. Use Empirical Rule to summarize the data. Can we apply Empirical Rule to summarize the data in this problem? Ans: Then answer the following questions: Approximately ___ % of the eight-month-old babies weigh between and pounds. Approximately ___ % of the eight-month-old babies weigh between 15.3 and pounds. Approximately 99.7% of the eight-month-old babies weigh between and pounds.
A set of data items is normally distributed with a mean of 108 and a standard deviation of 27. Convert each of the following data items to a z- score. Round your answer to the nearest hundredth. (a) 226 Z = (b) 85 Z =
Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. What proportion of the adult men in the United States are at most 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.
Suppose that the heights of adult men in the United States are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. What proportion of adult men in the United States is at least 6 feet tall? (Hint 6 feet=72 inches.) Round answer to at least 4 decimal places.
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2018 and 2019 are as follows: 72 76 77 Mean 2019 Season: 69 68 73 75 a. Use the mean (to the nearest whole number) and standard deviation (to 2 decimals) to evaluate the golfer's performance over the two-year period. 2018 Standard deviation Mean 2019 2018 Season: Standard deviation b. What is the primary difference in performance between 2018 and 2019? - Select your answer - What improvement, if any, can be seen in the 2019 scores? - Select your answer - 75 75 73 71 83 78 73 75 69 77
Given below are the sodium contents (in mg) for seven brands of hot dogs rated as "very good." 460 430 390 330 220 570 510 (a) Use the given data to produce a point estimate of ?, the true mean sodium content for hot dogs. (b) Use the given data to produce a point estimate of ?, the standard deviation of sodium content for hot dogs. Is the statistic you used to produce your estimate of ? unbiased? (Hint: See the discussion following Example 9.3.) (c) Find the values of the critical value of the t distribution to compute the 98% confidence interval of sodium content. (d) Compute the 98% confidence interval for the sodium content of hot dogs. (a)Use the given data to produce a point estimate of ?, the true mean sodium content for hot dogs. A point estimate for the true mean sodium content for hot dogs (in mg), rounded to four decimal places, is ? ≈ x = mg. (round to 4 decimals) x is statistic for the mean \mu . (b)Use the given data to produce a…

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