Get 5 free video unlocks on our app with code GOMOBILE

Snapsolve any problem by taking a picture.

Try it in the Numerade app?

Solved step-by-step

SAT Scores: The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with Î¼ = 92. Use a TI-83 Plus or TI-84 Plus calculator.

Part 1 of 2:

(a) What is the 95th percentile score? (Round the answer to the nearest whole number.)

The 95th percentile score is

Part 2 of 2:

(b) What is the probability that a randomly selected score exceeds 1240? (Round the answer to at least four decimal places.)

The probability that a randomly selected score exceeds 1240 is

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

04:35

The national average SAT score (for Verbal and Math) is 1028 . If we assume a normal distribution with $\sigma=92,$ what is the 90th percentile score? What is the probability that a randomly selected score exceeds $1200 ?$

08:43

The distribution of scores on the SAT is approximately normal with a mean of $\mu=500$ and a standard deviation of $\sigma=100 .$ For the population of students who have taken the SAT:a. What proportion have SAT scores less than $400 ?$b. What proportion have SAT scores greater than $650 ?$c. What is the minimum SAT score needed to be in the highest $20 \%$ of the population?d. If the state college only accepts students from the top $40 \%$ of the SAT distribution, what is the minimum SAT score needed to be accepted?

00:47

Test score distribution. In $2004,$ combined SAT reading and math scores were normally distributed with mean 1026 and standard deviation $113 .$ Find the SAT scores that correspond to these percentiles. (Source: www.collegeboard.com.)a) 35 th percentileb) 60 th percentilec) 92 nd percentile

07:38

The national average for the math portion of the College Board’s SAT is 515 (The WorldAlmanac, 2009 ). The College Board periodically rescales the test scores such that thestandard deviation is approximately $100 .$ Answer the following questions using a bell-shaped distribution and the empirical rule for the verbal test scores.a. What percentage of students have an SAT math score greater than 615$?$b. What percentage of students have an SAT math score greater than 715$?$c. What percentage of students have an SAT math score between 415 and 515$?$d. What percentage of students have an SAT math score between 315 and 615$?$

Transcript

Hey they are welcome to numerate, so we are asked to calculate the ninety fifth percent house score based on the national average for the set which is 1028 and a standard deviation of 92 point. So, since we’re given normal distributed data, we can use the z score equation, so first step dot is to write our equation here. So we basically have p, where x is less than z equals the ninety fifth percent 0.95. So this will be our probability equation here and so we’re going to find a respective z, score, respect of z, score will equal around and see so you can use your table or you can use your calculator for this 1.645 all right. So that will be our z score and we’re gonna plug this z score into our overall z score equation here: 645 equals so we have our mean or our value here we trying to find x so x, minus our population mean which is given as 1028 divided By o, so since we’re not giving a sample size here, we’ve got just divide by the standard. Deviation 92 chetal here in 92.1028 point and we’re going to solve for x to x will basically equal 1.645 multiplied by 92 plus or 1028 point we’re going to get x value of. Let’S see what we get here. So we have 1.645 times 92 plus 1028 and…

Enter your parent or guardian’s email address:

Already have an account? Log in

An exclusive promotional rate that’s yours to keep forever

or

PASSWORD