Question

In: Statistics and Probability

You wish to see if a difference exists in the average SAT score for students at...

  1. You wish to see if a difference exists in the average SAT score for students at two local colleges. A random sample of 200 students from College A had an average SAT score of 1641.7 with a standard deviation of 28.4. A random sample of 178 students from College B had an average SAT score of 1629.8 with a standard deviation of 25.6. Does this show, at 95% confidence, a difference in the average SAT scores? Be sure to state the interval.

    I am 95% confident that the difference in average SAT scores for the two colleges is between 5.8773 and 11.5287. We failed to show a difference.

    I am 95% confident that the difference in average SAT scores for the two collegesis between 5.8773 and 11.5287. The evidence suggests the averages are different.

    I am 95% confident that the difference in average SAT scores for the two collegesis between 6.4386 and 17.361. We failed to show a difference.

    I am 95% confident that the difference in average SAT scores for the two collegesis between 6.4386 and 17.361. The evidence suggests the averages are different.

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

You wish to see if there is a difference between the average score of boys and...
You wish to see if there is a difference between the average score of boys and girls on the math SOL. A random sample of 195 boys had an average score of 444.34 with a standard deviation of 45.65. A random sample of 202 girls had an average score of 452.64 and a standard deviation of 37.75. A: Verify the assumptions. B: State the 95% confidence interval for the difference of the average SOL scores. C: Does this interval shows,...
You wish to see if there is a difference between the average score of boys and...
You wish to see if there is a difference between the average score of boys and girls on the math SOL. A random sample of 195 boys had an average score of 444.34 with a standard deviation of 45.65. A random sample of 202 girls had an average score of 452.64 and a standard deviation of 37.75. A: Verify the assumptions. B: State the 95% confidence interval for the difference of the average SOL scores. C: Does this interval shows,...
You are to test if the average SAT score in the high school students of Ontario...
You are to test if the average SAT score in the high school students of Ontario is greater than 495. You set the hypotheses as below: H0: µ = 495 vs Ha: µ > 495 If the SRS of 500 students were selected and the standard deviation has been known to 100, with alpha = 0.05, answer the followings. a.  What is the Type I error? b. What is the Type II error if the true population mean is 510. Explain...
A. The average SAT score of students is 1110, with a standard deviation ≈ 120. If...
A. The average SAT score of students is 1110, with a standard deviation ≈ 120. If a sample of n = 25 students is selected, what is the probability that the sample mean would be > 1150? That is, what is p(M>1150)? B. Which of the following will decrease statistical power? SELECT ALL THAT APPLY. a smaller sample size a larger effect size a larger standard deviation a larger alpha
You wish to see if boys have a higher average math SOL score than girls. A...
You wish to see if boys have a higher average math SOL score than girls. A random sample of 217 boys showed an average math SOL score of 478.26 with a standard deviation of 22.95. A random sample of 260 girls showed an average math score of 474.23 and a standard deviation of 22.18. Does this show, at significance level .05, that boys have a higher average math SOL score than girls? A: Are the assumptions met? B:What are the...
A university wants to test the claim that the average SAT score for in-state (I) students...
A university wants to test the claim that the average SAT score for in-state (I) students is less than the average SAT score for out-of-state (O) students. It will use random samples of 50 in-state students and 45 out-of-state students. Choose the appropriate math symbol to replace the "?" in both the null and alternative hypotheses shown below. H0: μI ? μO ≥ < ≤ = > ≠ Ha: μI ? μO < = ≤ ≥ > ≠
In order to estimate the average combined SAT score for students at a particular high school,...
In order to estimate the average combined SAT score for students at a particular high school, a random sample of 100 students was selected and the sample mean was determined to be 870 with a sample standard deviation of 12 points. a) Determine the error (for a 95% confidence interval) involved when trying to use the data from the sample to estimate the population. b) Use the information in part A to help construct a 95% confidence interval estimate for...
  You wish to see the average improvement on SOL scores after students have completed a program....
  You wish to see the average improvement on SOL scores after students have completed a program. A random sample of 300 students who completed the program showed an average improvement of 4.35 points with a standard deviation of 0.96 points. Calculate and interpret a 90% confidence interval for the average improvement for all students who would complete this program. A: Verify the assumptions. B: Calculate a 90% confidence interval for the average improvement for all students who would complete this...
Estimate the average Math SAT score of this school's engineering students using a 95% confidence interval....
Estimate the average Math SAT score of this school's engineering students using a 95% confidence interval. Engineer 640 709 521 642 646 620 534 664 681 652 623 645 549 625 621 660 626 610 605 665 567 669 644 666 705 555 661 651
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less than 100 at the .05 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100 You take a simple random sample of 38 individuals and find the mean IQ score is 95.8, with a standard deviation of 15.2. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT