Question

In: Statistics and Probability

1.    M 644 2.    F 345 3.    F 710 4.    F 655 5.    F 539 6.   ...


1.    M 644

2.    F 345

3.    F 710

4.    F 655

5.    F 539

6.    M 492

7.    M 598

8.    F 481

9.    F 622

10. F 545

11. M 707

12. F 332

13. M 538

14. F 470

15. M 469

16. F 483

17. M 572

18. F 487

19. M 358

20. F 440

21. F 637

22. M 447

23. F 482

24. M 485

25. F 417

26. M 569

27. M 541

28. F 596

29. F 395

30. M 526

31. M 643

32. M 435

33. F 511

34. F 766

35. F 467

36. F 562

37. M 460

38. M 483

39. F 644

40. F 606

The first task you have is to select a sample of 40 students. Carefully explain your procedure and reasoning for selecting these 40 students.   Use your sample to describe the high school’s performance as a whole. Produce the proper statistical summaries and graphs.

Next, use your sample to create a 95% confidence interval for the mean SAT math score at this high school. Interpret the interval. Based on your confidence interval, compare the performance of these students with the statewide mean math score of 503.

Your last portion of the project is to address this following question. Nationally males tend to have higher Math scores than Females. Use the sample to determine if that is true at this high school.   Be sure to check all assumptions and conditions when determining the answer to this question.

Solutions

Expert Solution

95% CONFIDENCE INTERVAL IS


sample mean = 528.98
t critical = 2.02
sM = √(101.561^2/40) = 16.06
μ = M ± t(sM)
μ = 528.98 ± 2.02*16.06
μ = 528.98 ± 32.4808

95% CI [496.4992, 561.4608].

You can be 95% confident that the population mean (μ) falls between 496.4992 and 561.4608.

Since statewide wide mean math score is in the 95% confidence interval therefore the performance of randomly selected 40 students math score is NOT different from 503 score.

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

To conduct this test we will check the following assumption:

1) Random sample is normally distributed.

2) Population variances are equal.

From above table we can see that Equal variance assumption is satisfied. Since P value from Levene's test is 0.248>0.05 THEREFORE WE FAIL TO REJECT NULL HYPOTHESIS H0 THEREFORE VARIANCES ARE EQUAL.

t value = -0.08

Degrees of freedom=38

The P-Value is .468329. The result is not significant because p > .05.

Decision: Fail to reject null hypothesis H0.

Conclusion: We dont have sufficient evidence to show that males tend to have higher Math scores than Females.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4,...
2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (a) How many of these functions are strictly increasing (i.e. f(1) < f(2) < f(3) < f(4) < f(5) < f(6))? Hint: How many different possibilities are there for the range of f? For each range of f, how many strictly increasing functions are there? (b) How many of these functions are non-decreasing (i.e. f(1) ≤ f(2) ≤...
6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f...
6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f = {(1, 5),(2, 5),(3, 6),(x, y)} where x ∈ A and y ∈ B are to be determined by you. (a) In how many ways can you pick x ∈ A and y ∈ B such that f is not a function? (b) In how many ways can you pick x ∈ A and y ∈ B such that f : A → B...
Month Revenue ($000) 1 700 2 740 3 710 4 695 5 760 6 810 7...
Month Revenue ($000) 1 700 2 740 3 710 4 695 5 760 6 810 7 750 8 820 9 730 10 710 11 720 12 760 13 800 14 820 15 770 16 740 17 690 18 680 19 710 20 740 Monthly revenue for the past 20 months of all the products sold in the Health and Beauty Department of Green Corporation is contained in the Excel data file. Use that data to answer the following. Obtain a...
ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...
ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5 8 7 6 5 7 7 6 7 8 8 8 9 7 8 10 12 11 Test the significance of the correlation coefficient. Then use math test scores (X) to predict physics test scores (Y).  Do the following: Create a scatterplot of X and Y. Write the regression equation and interpret the regression coefficients (i.e., intercept and slope). Predict the physics score for each....
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6 6] This is my dataset Find mean, median, mode, variance, standard deviation, coefficient of variation, range, 70th percentile, 3rdquartile of the data and skewness and define what each of these statistics measure. For example, mean is a measure of the central tendency, what about the rest? Use Chebyshev’s rule to find...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6 6] This is my dataset Split the dataset in two equal parts. You have 30 datavalues. If you split the data in two equal parts each part will contain 15 data values.  Call the first part Y and second part X.Draw scatter plot of the 2 datasets, X being on the horizontal...
tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3...
tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3 5 4 7 9 7 0 0 4 5 6 9 9 8 1 3 5 6 8 9 9 0 1 2 3 5 9 The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX] a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3,...
X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot...
X 1 3 5 3 4 4 Y 2 5 4 3 4 6 A: Plot the date B: find the line of best fit C: determine ŷ AT x=3 D: Find r and r^2 E: explain r and r^2
WG G 1 M 2 M 7 F 4 M 12 F 2 M 1 M...
WG G 1 M 2 M 7 F 4 M 12 F 2 M 1 M 10 F 1 M 2 M 3 M 1 M 1 M 2 M 1 M Assume that : The first column is the weight gain of the people in the quarantine in the first week in kilogram (WG) .    The second column is describing the gender whether it was male or female (G) . Q: Is there any statistical evidence that the...
Equilibrium Concentrations 1 2 3 4 5 [FeSCN2+] 1.49x10-5 M 4.69x10-5 M 7.47x10-5 M 1.01x10-4 M...
Equilibrium Concentrations 1 2 3 4 5 [FeSCN2+] 1.49x10-5 M 4.69x10-5 M 7.47x10-5 M 1.01x10-4 M 2.65x10-4 M [Fe3+] 6.0x10-4 M 6.0x10-4 M 6.0x10-4 M 6.0x10-4 M 6.0x10-4 M [SCN-] 2.0x10-4 M 4.0x10-4 M 6.0x10-4 M 8.0x10-4 M 1.0x10-3 M Equilibrium Keq 124.2 195.4 207.5 210.4 441.7 Average Keq: 235.8 Does your data support a complete conversion or partial conversion? Based on your results was the measured Keq too high or too low? Explain please.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT