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. (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 521 statistically significantly higher than 516? Conduct a hypothesis test using theP-value approach.Find the test statistic.to =0(Round to two decimal places as needed.)Find the P-value.The P-value is(Round to three decimal places as needed.)the sample mean statistically significantly higher?NoYesO O 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 datafrom the administrator of the exam, scores are normally distributed with u= 516. The teacher obtains a random sample of 2200 students, puts them through the reviewclass, 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) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.O A. Ho: µ>516, H,: µ#516B. Ho: H= 516, H,: µ>516O C. Ho: H<516, H,: µ >516D. Ho: H= 516, H,: µ#516

Hypothesis testing is a way to test a claim about a population parameter.

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 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

(b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 521 statistically significantly higher than 516? Conduct a hypothesis test using the
P-value approach.
Find the test statistic.
to =0
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)
the sample mean statistically significantly higher?
No
Yes
O O

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= 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) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below.
O A. Ho: µ>516, H,: µ#516
B. Ho: H= 516, H,: µ>516
O C. Ho: H<516, H,: µ >516
D. Ho: H= 516, H,: µ#516

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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