H0: Null hypothesis: 500
HA:Alternative hypothesis: 500
SE = /
= 100/ = 4
Test statistic is:
Z = (536 - 500)/4 = 9
Take =0.05
One Tail - Right Side Test
From Table, critical value of Z = 1.645
Since the calculated value of Z = 9 is greater than critical value of Z = 1.645,the difference is significant. Reject null hypothesis.
Conclusion:
The data support the claim that SAT prep program will increase SAT
score.
4. Twenty five high school students complete a preparation program for taking the SAT test. Here...
For all questions: (a) state the null and alternative hypotheses, (b) conduct appropriate statistical methods with alpha-.05, (c) report your final statistics with a decision regarding the null hypothesis, and (d) summarize your results in your own words. 1. In this era of credit cards there is discussion on whether or not coin use is declining. A professor has been collecting data for years on the number of cents people carry in their pockets or purses and maintains that the...
A high school principle currently encourages students to enroll in a specific SAT prep program that has a reputation of improving score by 50 points on average. A new SAT prep program has been released and claims to be better than their current program. The principle is thinking of advertising this new program to students if there is enough evidence at the 5% level that their claim is true. The principle tests the following hypotheses: Ho = 50 points HA...
A researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 (? = 1050). The 16 students who attend the preparation course average 1150 on the SAT, with a sample standard deviation of 300. On the basis of these data, can the researcher conclude that the preparation course...
A researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 (? = 1050). The 16 students who attend the preparation course average 1200on the SAT, with a sample standard deviation of 100. On the basis of these data, can the researcher conclude that the preparation course has...
A high school principle currently encourages students to enroll in a specific SAT prep program that has a reputation of improving score by 5050 points on average. A new SAT prep program has been released and claims to be better than their current program. The principle is thinking of advertising this new program to students if there is enough evidence at the 5%5% level that their claim is true. The principle tests the following hypotheses: H0:μ=50 points HA:μ>50 pointsH0:μ=50 points...
A guidance counselor claims that the high school students in a college preparation program have higher ACT scores than those in a general program. The sample mean ACT scores for 37 high school students in a college prep program is 22.7 and assume the population standard deviation is 3.5. The sample mean ACT scores for 35 high school students in a general prep program is 21.1. Assume the population standard deviation is 4.9. At = 0.02 , test the...
A researcher wants to determine whether high school students who attend an SAT preparation course score significantly different on the SAT than students who do not attend the preparation course. For those who do not attend the course, the population mean is 1050 (? = 1050). The 16 students who attend the preparation course average 1200on the SAT, with a sample standard deviation of 100. On the basis of these data, can the researcher conclude that the preparation course has...
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4. National SAT (Scholastic Aptitude Test) scores for high school students in the U.S.A. are normally distributed with a mean of 500 and a standard deviation of 116. What is the percentage of students that score (a) above 700? (C) between 650 and 800? (b) under 400? (d) within 50 of the mean?
(4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sample of thirty- six students is taken from the entire population of 500 students. The mean test score for the sample is three hundred eighty. Find (a) 95% confidence interval for the unknown population mean test score. (b) 95% confidence interval for the unknown population mean test score if...