A data set consists off scores with values between 20 and 80. The mean is 48, with standarddeviation of 10. Based on this information, complete the following statements about the distributionof the scores for this data.of the scores lie between 23 and 73.a. According to Chebyshev's theorem, at leastb. According to Chebyshev's theorem, at least 36% of the score between and_.c. Suppose that the distribution is bell-shaped. According to the empirical rule, approximately68% of data is betweend. Suppose that the distribution is bell-shaped. According to the empirical rule, approximatelyandis between 38 and 68.

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Answered: A data set consists off scores with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data give the speeds (in kilometer) as measured by radar of 5 selected cars traveled at NLEX, 107, 100, 126, 120, 100 What is the standard deviation?
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 60 miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding 80 miles/hour. The records show that exactly 5% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
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?
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 62 miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/hour. The records show that exactly 2% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
The mean time taken by all participants to run a road race was found to be 110 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 80 to 140 minutes. Round your answer to the nearest integer. of
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x =74.0 beats per minute, and their standard deviation iss = 13.2 beats per minute. a. What is the difference between the pulse rate of 33 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 33 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 33 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The lowest pulse rate is
7.
Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student hasa test result with a z-score of -0.8 and a second student has a test result with a Z-score of 1.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26
Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are respectively 34.5 and 16.5. Assuming the normality of the distribution, find the approxiamte number of students expected to obtain marks between 30 and 60.
Suppose baby kittens' weights are normally distributed with a mean of 10.7 and a standard deviation of 1.7. Find the baby kitten weight that corresponds to the following Z-scores. Round your answer to 3 decimals. a. Kitten a: Z = 0.75, weight b. Kitten b: Z = 1.92, weight c. Is Kitten a overweight, underweight, or exactly average? Exactly Average O Overweight Underweight d. Is Kitten b overweight, underweight, or exactly average? O Overweight O Underweight O Exactly Average
A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. Calculate: a.the percentage of students scored between 75 and 90 ( using Rstudio) b.the test score higher than what grade if only 5% of the students taking the test (manually and using R studio)
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?

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