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 = 521. 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 526 with a standard deviation of 119. 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: u> 521, H,: u#521 O B. Ho: H= 521, H,: u# 521 C. Họ: H= 521, H,: u > 521 O D. Ho: H< 521, H,: u> 521 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 521? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.)

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 = 521. 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 526 with a standard deviation of 119. 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: u> 521, H,: u#521 O B. Ho: H= 521, H,: u# 521 C. Họ: H= 521, H,: u > 521 O D. Ho: H< 521, H,: u> 521 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 521? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.)

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MATLAB: An Introduction with Applications

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

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 = 521. 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 526 with a standard deviation of 119. 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: u> 521, H,: u 521
O B. Ho: µ= 521, H,: µ 521
C. Ho: H= 521, H,: µ> 521
O D. Ho: H< 521, H,: p> 521
(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 526 statistically significantly higher than 521? Conduct a hypothesis test using the
P-value approach.
Find the test statistic.
to =0
(Round to two decimal places as needed.)

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