A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean scoreof 292. This test result prompts a state school administrator declare that the mean score for the state's eighthgraders on this exam is more than 285. Assume that the population standard deviation is 39. At a = 0.09, is thereenough evidence to support the administrator's claim? Complete parts (a) through (e).(a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below.B. Ho: ≤285OA. Ho: H=285 (claim)H:H>285OD. Ho: H=285Ha: μ> 285 (claim)Ha: H>285 (claim)OE. Ho: <285Ha: 2285 (claim)(b) Find the standardized test statistic z, and its corresponding area.z = (Round to two decimal places as needed.)OC. Ho: 2285 (claim)Ha: μ<285OF. Ho: S285 (claim)H₂: H>285

It is given that, Sample size is n= 85 Sample mean is x̄= 292 Population deviation deviation is σ=…

Answered: A random sample of 85 eighth grade…

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 results of a statewide exam for assessing the mathematics skills of realtors were normally distributed with a mean score of 69 and a standard deviation of 12. The realtors who scored in the top 15% are to receive a special certificate, while those in the bottom 25% will be required to attend a remedial workshop. (Round your answers to the nearest whole number.) (a) What score does a realtor need in order to receive a certificate?or more(b) What score will dictate that the realtor attend the workshop?or less
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.6Mbps. The complete list of 50 data speeds has a mean of x=15.15 Mbps and a standard deviation of s=21.46Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between−2and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 50.4with a standard deviation of 9.1 a. According to Chebyshev's theorem at least ? of the score lies between 3.2 and 68.6 b. According to Chebyshev's theorem at least 56% of the fares lies between ? and ? (Round your answer to 2 decimal places.)
3
The average annual rainfall in New York City follows a normal distribution with a mean of 49.9 inches and a standard deviation of 9.5 inches. On what percentage of years can we expect there to be between 40.4 and 59.4 inches of rain in New York City? (A) 100% B) 99.7% C) 95% D) 68%
part b please
.. .. ..
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s= 14.2 beats per minute. a. What is the difference between the pulse rate of 35 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 35 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 35 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 places as needed.) c. The z score is z=. (Round to two decimal places as needed.) d. The lowest pulse rate is
Use z scores to compare the given values. The tallest living man at one time had a height of 256cm. The shortest living man at that time had a height of 114.6 cm. Heights of men at that time had a mean of 174.87 cm and a standard deviation of 7.57 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=____ and the z score for the shortest man is z=_____, the (Shortest/tallest) man had the height that was more extreme. (Round to two decimal places.)
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 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 37 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 37 beats per minute significant?
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?
A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). ..... (a) Write the claim mathematically and identify H, and Ha. Choose the correct answer below. ' O A. Ho: µs 275 Hai H> 275 (claim) B. H0: μ 275 c. Ho: μ 275 Ο Ε. Ho: μ = 275 Ha: µ> 275 (claim) OF H : μ2 275 (claim) Ha: µ<275

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