Question

In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test...

In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.

a) What is the lowest score that still place a student in the top 15% of the scores?

b) Find the probability that a student had a score higher than 350.

c) Find the probability that a student had a score between 250 and 315.

d) If 1500 students are randomly selected, how many would be expected to have a score between 250 and 315?

e) A random sample of 16 students is drawn from this population, what is the probability that the mean score is greater than 300?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test...
In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed. a. Find the probability that a student had a score higher than 295. b. Find the probability that a student had a score between 230 and 305. c. What is the highest score that would still...
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test...
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal with mean μ = 300 and standard deviation σ = 35. (a) Choose one 12th-grader at random. What is the probability that his or her score is higher than 300? Higher than 335? (b) Now choose an SRS of four 12th-graders and calculate their mean score x. If you did this many times, what would be the...
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test...
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal with mean µ = 292 and standard deviation s = 32. Choose one 12th-grader at random. What is the probability (±0.1) that his or her score is higher than 292? Higher than 388 (±0.001)? Now choose an SRS of 16 twelfth-graders and calculate their mean score x⎯⎯⎯. If you did this many times, what would be the...
A random sample of 86 eighth grade students’ scores on a national mathematics assessment test has...
A random sample of 86 eighth grade students’ scores on a national mathematics assessment test has a mean score of 294. This test result prompts a state school administrator to declare that the mean score for the state’s eighth graders on this exam is more than 285. Assume the population standard deviation is 35. At the 3 % level of significance, is there enough evidence to support the administrator’s claim?
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test...
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal with mean ? = 271 and standard deviation ? = 32 . Choose one 12th-grader at random. What is the probability (±0.1, that is round to one decimal place) that his or her score is higher than 271 ? Higher than 367 (±0.0001; that is round to 4 decimal places)? Now choose an SRS of 16 twelfth-graders...
The scores of fourth grade students on a mathematics achievement test follow a normal distribution with...
The scores of fourth grade students on a mathematics achievement test follow a normal distribution with a mean of 75 and standard deviation of 4. What is the probability the sample mean score of 64 randomly selected students is between 74 and 76?
A random sample of 81 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 81 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 34. At alpha=0.06, is there enough evidence to support the administrator's claim? (a) Write the claim mathematically and identify Upper H 0and Upper H Subscript a...
In a recent​ year, scores on a standardized test for high school students with a 3.50...
In a recent​ year, scores on a standardized test for high school students with a 3.50 to 4.00 grade point average were normally​ distributed, with a mean of 38.238.2 and a standard deviation of 2.22.2. A student with a 3.50 to 4.00 grade point average who took the standardized test is randomly selected. ​(a) Find the probability that the​ student's test score is less than 3737. The probability of a student scoring less than 3737 is 0.29120.2912. ​(Round to four...
The National Assessment of Educational Progress ( NAEP) includes a mathematics test for eigth-grade students. Scores...
The National Assessment of Educational Progress ( NAEP) includes a mathematics test for eigth-grade students. Scores on the test range from 0 to 500. Suppose that you give the NAEP test to an SRS of 800 8th-graders from a large population in which the scores have mean 299 and standard deviation 128 . The mean x¯¯¯ will vary if you take repeated samples. The sampling distribution of x¯¯¯ is approximately Normal. It has mean 299 . What is its standard...
A random sample of 84 eighth grade​ students' scores on a national mathematics assessment test has...
A random sample of 84 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 294. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth-graders on this exam is more than 285. Assume that the population standard deviation is 31. At α = 0.10​, is there enough evidence to support the​ administration's claim? Write out the hypotheses statements below and identify the parameter of interest. Ho...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT