A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. This test resultprompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assumethat the population standard deviation is 32. At a=0.12, is there enough 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.O B.Ho: μ=275 (claim)Ha: µ>275OA. Ho: μ<275H₂:μ ≥ 275 (claim)O D. Ho: μ=275Ha: μ> 275 (claim)O E. Ho: μ²275 (claim)Ha: μ<275(b) Find the standardized test statistic z.z= (Round to two decimal places as needed.)(c) Find the P-value.P-value=(Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.Fail to reject HoReject Ho(e) Interpret your decision in the context of the original claim.enough evidence toAt the 12% significance level, theregraders on the exam is more than 275.O C. Ho: μ≤275 (claim)H₂:μ>275OF. Ho: μ$275Ha: μ> 275 (claim)the administrator's claim that the mean score for the state's eighth

From the provided information, Population standard deviation (σ) = 32 Sample mean (x̄) = 281 Sample…

Answered: A random sample of 75 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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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 = 71.0 beats per minute, and their standard deviation is s = 14.8 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 (Type an integer or a beats per minute. 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 significantly high. significantly low. not significant. C
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
Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a special test was 80.5. If the standard deviation of the scores was 3.1, and the sample came from an approximately normal population, find the point and interval estimate of the population mean, using 95% confidence.
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
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38beats per minute, the mean of the listed pulse rates is x =73.0 beats per minute, and their standard deviation is sequals=23.2 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 minus−2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
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
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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?

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