Question

Some nations require their students to pass an exam before earning their primary school degrees or...

Some nations require their students to pass an exam before earning their primary school degrees or diplomas. A certain nation gives students an exam whose scores are normally distributed with a mean of 41 points and a standard deviation of 9 points.

Suppose we select 2 of these testers at random, and define the random variable D as the difference between their scores.

Find the probability that their scores are within 10 points of each other.
You may round your answer to two decimal places.

P(∣D∣<10)≈

0 2
Add a comment Improve this question Transcribed image text
✔ Recommended Answer
Answer #1

solution:- D=x,-X2 les: Elx,) - E(X) = 41-41 = 0 o = √V (x) + X(X) = √get g2 = ore Now, ze D-Up 12 P(IDI (10) = Pl-loc Dcio)

Add a comment
Know the answer?
Add Answer to:
Some nations require their students to pass an exam before earning their primary school degrees or...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • Candidates are applying for an elite college. From prior statistics we know that white students have...

    Candidates are applying for an elite college. From prior statistics we know that white students have an acceptance rate of 24% while Asian students have an acceptance rate of only 17%. A random sample of 100 White students and 100 Asian students were selected. Let X be the number of White applicants (out of the 100) who are accepted. Let Y be the number of Asian applicants (out of the 100) who are accepted. Question 1 of 4 Which of...

  • Some statistics instructors have students use an online homework system and some do not. Final exam...

    Some statistics instructors have students use an online homework system and some do not. Final exam scores were recorded for a sample of statistic students who used an online homework system and were compared to the final exam scores from a sample of statistic students who did not use an online homework system. Is there evidence that the students who used an online homework system did better on the final? a) Test at the 3% level. b) Compute a 94%...

  • 1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters...

    1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Suppose a random sample of 8 students took the test, and their scores are given below. 699, 560, 414, 570, 521, 663, 727, 413 a. Find a point estimate of the population mean. b. Write a sentence about how you can verify the data could come from a population that is normally distributed, using the graph below. c. Construct...

  • Albicher with the Department of Education followed a cohort of students who graduated from high school...

    Albicher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study Complete parts a)...

  • need answers!!! i Find the indicated probability by using the complementation rule. 13) The age distribution...

    need answers!!! i Find the indicated probability by using the complementation rule. 13) The age distribution of students at a community college ls Ewer 13) Under 21 21-24 25-28 29-32 33-36 37-40 Over 40 144 102 85 1457 A student from the community college is selected at random. Find the student is under probability that the 37 years old. Give your answer as a decimal rounded to three decimal places A) 0.070 B) 0.034 C) 0.092 D) 0.908 Find the...

  • 10.3Thank you:) Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed...

    10.3Thank you:) Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.01 level of significance based on a sample size of n = 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a...

  • 1) A researcher believes that the mean starting salary of male occupational therapists is greater than...

    1) A researcher believes that the mean starting salary of male occupational therapists is greater than the mean starting salary of female occupational therapists. State the null and alternative hypothesis for this conjecture. A) H: = (null hypothesis) H:H>, (alternative hypothesis) Where is the mean starting salary for male occupational therapists B) H:H= (null hypothesis) H:. (alternative hypothesis) Where is the mean starting salary for male occupational therapists C) H: > (null hypothesis) Hu u (alternative hypothesis) Where u is...

  • STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that...

    STA2221 examples on CI & Testing of Hypothesis Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answer the question Provide an appropriate response. 1) Find the critical value,te for 0.99 and n-10. A) 3.250 B) 3.169 1.833 D) 2.262 2) Find the critical value to forc=0.95 and n=16. A) 2.947 B) 2.602 2120 D) 2.131 3) Find the value of E, the margin of error, for A) 1.69 B) 0.42 0.99, n=16 and s=2.6. C)...

  • The following ANOVA model is for a multiple regression model with two independent variables: Degrees of            Sum of                 Mean Source           Freedom            Squares              ...

    The following ANOVA model is for a multiple regression model with two independent variables: Degrees of            Sum of                 Mean Source           Freedom            Squares                Squares       F       Regression            2                    60 Error                   18                 120 Total                   20                 180 Determine the Regression Mean Square (MSR): Determine the Mean Square Error (MSE): Compute the overall Fstat test statistic. Is the Fstat significant at the 0.05 level? A linear regression was run on auto sales relative to consumer income. The Regression Sum of Squares (SSR) was 360 and...

  • i need help on question 3 to 22 please. Midterm ex review. MATH 101 Use the...

    i need help on question 3 to 22 please. Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT