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Click the icon to view the t-Distribution Area in the Right Tail. (a) State the null and alternative hypotheses. Ho ▼ ▼ H₁ (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 518 statistically significantly higher than 511? Conduct a hypothesis test using the P-value approach. Find the test statistic. 4 (Round to two decimal places as needed.) Approximate the P-value corresponding to the critical value of t The P-value is Is the sample mean statistically significantly higher? O A. No, because the P-value range is above a=0.10. OB. Yes, because the P-value range is above a=0.10. OC. No, because the P-value range is below a=0.10. O D. Yes, because the P-value range is below a=0.10. fel Do you think that a moan math croro nf 518 vorcuc 511 will affort tho doricion of a school admiccinne administrator? In other words dooe the incroaca in the crnra have any practical einnifica

Click the icon to view the t-Distribution Area in the Right Tail. (a) State the null and alternative hypotheses. Ho ▼ ▼ H₁ (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 518 statistically significantly higher than 511? Conduct a hypothesis test using the P-value approach. Find the test statistic. 4 (Round to two decimal places as needed.) Approximate the P-value corresponding to the critical value of t The P-value is Is the sample mean statistically significantly higher? O A. No, because the P-value range is above a=0.10. OB. Yes, because the P-value range is above a=0.10. OC. No, because the P-value range is below a=0.10. O D. Yes, because the P-value range is below a=0.10. fel Do you think that a moan math croro nf 518 vorcuc 511 will affort tho doricion of a school admiccinne administrator? In other words dooe the incroaca in the crnra have any practical einnifica

MATLAB: An Introduction with Applications
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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A math teacher claims that she has developed a review course that increases scores of students on the math portion of a college entrance exam. Based on data from the College Board, scores are normally distributed with u=511. 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 518 with a standard deviation of 114. Complete parts (a) through (d) below. Click the icon to view the t-Distribution Area in the Right Tail. (a) State the null and alternative hypotheses. Но (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 518 statistically significantly higher than 511? Conduct a hypothesis test using the P-value approach. Find the test statistic. H₁ 16=0 (Round to two decimal places as needed.) Approximate the P-value corresponding to the critical value of t. The P-value is Is the sample mean statistically significantly higher? O A. No, ause the P-value range is above a=0.10. OB. Yes, because the P-value range is above a=0.10. OC. No, because the P-value range is below a=0.10. O D. Yes, because the P-value range s below a=0.10. fel Do you think that a moan math croro nf 518 vorcuc 511 will affort the doricion of a school admiccione administrator? In other worde dooc the incroace in the crora hava anu nractical cinnificanca? Submit quiz 7:58 PM 12/4/2022
Transcribed Image Text:A math teacher claims that she has developed a review course that increases scores of students on the math portion of a college entrance exam. Based on data from the College Board, scores are normally distributed with u=511. 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 518 with a standard deviation of 114. Complete parts (a) through (d) below. Click the icon to view the t-Distribution Area in the Right Tail. (a) State the null and alternative hypotheses. Но (b) Test the hypothesis at the a=0.10 level of significance. Is a mean math score of 518 statistically significantly higher than 511? Conduct a hypothesis test using the P-value approach. Find the test statistic. H₁ 16=0 (Round to two decimal places as needed.) Approximate the P-value corresponding to the critical value of t. The P-value is Is the sample mean statistically significantly higher? O A. No, ause the P-value range is above a=0.10. OB. Yes, because the P-value range is above a=0.10. OC. No, because the P-value range is below a=0.10. O D. Yes, because the P-value range s below a=0.10. fel Do you think that a moan math croro nf 518 vorcuc 511 will affort the doricion of a school admiccione administrator? In other worde dooc the incroace in the crora hava anu nractical cinnificanca? Submit quiz 7:58 PM 12/4/2022
the Right Tall to = U (Round to two decimal places as needed.) Approximate the P-value corresponding to the critical value of t. The P-value is Is the sample mean statistically significantly higher? 4 OA. Yes, because the P-value range is above α=0.10. OB. No, because the P-value range is below a=0.10. OC. Yes, because the P-value range is below a=0.10. OD. No, because the P-value range is above α = 0.10, What do you conclude about the impact of large samples on the P-value? O A. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. OB. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. OC. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. O D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.
Transcribed Image Text:the Right Tall to = U (Round to two decimal places as needed.) Approximate the P-value corresponding to the critical value of t. The P-value is Is the sample mean statistically significantly higher? 4 OA. Yes, because the P-value range is above α=0.10. OB. No, because the P-value range is below a=0.10. OC. Yes, because the P-value range is below a=0.10. OD. No, because the P-value range is above α = 0.10, What do you conclude about the impact of large samples on the P-value? O A. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences. OB. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. OC. As n increases, the likelihood of rejecting the null hypothesis increases. However, large samples tend to overemphasize practically significant differences. O D. As n increases, the likelihood of not rejecting the null hypothesis increases. However, large samples tend to overemphasize practically insignificant differences.
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