A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator ofthe exam, scores are normally distributed with u = 519. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the1800 students is 526 with a standard deviation of 119. Complete parts (a) through (d) below.(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 519? Conduct a hypothesis test using the P-value approach.Find the test statistic.to =(Round to two decimal places as needed.) Find the P-value.The P-value is.(Round to three decimal places as needed.)

For the given data Perform t test for one mean

Answered: A math teacher claims that she has…

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 mean value of land and buildings per acre from a sample of farms is $1600, with a standard deviation of $300. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 75. (a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1300 and $1900. (b) If 30 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1300 per acre and $1900 per acre?
In a school district, all sixth grade students take the same standardized test. The superintendent of the school district takes a random sample of 26 scores from all of the students who took the test. She sees that the mean score is 130 with a standard deviation of 7.2344. The superintendent wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 16. Is there evidence that the standard deviation of test scores has decreased at the α = 0.05 level? Assume the population is normally distributed.
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H= 520, H,: µ> 520 %3D B. Ho: μ 520 С. Но: и> 520, Hа: p#520 D. Ho: и%3D520, Hа: p#520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = %3D
In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. What are the z statistics (include explanation and summation)
In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. compute z score and explain each step
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 84 and a standard deviation of 6. The professor has informed us that 10 percent of his students received A's while only 2.5 percent of his students failed the course and received F's. a. To the nearest tenth, what is the minimum score needed to make an A? b. To the nearest tenth, what is the maximum score among those who received an F? c. If there were 4 students who did not pass the course, how many students took the course?
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with µ = 524. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 532 with a standard deviation of 117. Complete parts (a) through (d) below. Find the P-value. The P-value is (Round to three decimal places as needed.) Check answer Clear all Help me solve this View an example Get more help. At a # Type here to search U (?) 4:40 PM 6/18/2022 B 8 96°F Sunny
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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with μ=516.The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 521 with a standard deviation of 116. Complete parts (a) through (d) below.
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with H = 525. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 530 with a standard deviation of 119. Complete parts (a) through (d) below. C. Yes, because every increase in score is practically significant. D. No, because the score became only 0.95% greater. (d) Test the hypothesis at the a = 0.10 level of significance with n= 400 students. Assume that the sample mean is still 530 and the sample standard deviation is still 119. Is a sample mean of 530 significantly more than 525? Conduct a hypothesis test using the P-value approach. Find the test statistic. to =0 (Round to two decimal places as needed.) %3D Find the P-value. The P-value is (Round to three decimal…
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with μ=515. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 521 with a standard deviation of 114. Complete parts (a) through (d) below. (b) Test the hypothesis at the α=0.10 level of significance. Is a mean math score of 521 statistically significantly higher than 515? Conduct a hypothesis test using the P-value approach. Find the test statistic. t0=
A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are found to have positive BAC values. He randomly selects records from 75 such drivers in 2009 and determines the sample mean BAC to be 0.17 g/dL with a standard deviation of 0.080 g/dL. Complete parts (a) through (d) below. (a) A histogram of blood alcohol concentrations in fatal accidents shows that BACs are highly skewed right. Explain why a large sample size is needed to construct a confidence interval for the mean BAC of fatal crashes with a positive BAC. O A. Since the distribution of blood alcohol concentrations is not normally distributed (highly skewed right), the sample must be large to ensure that the sample size is greater than 5% of the population. O B. Since the distribution of blood alcohol concentrations is normally distributed, the sample must be large to ensure that the sample size is greater than 5% of the population. O C. Since the distribution…

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