Personnel tests are designed to test a job applicant's cognitive and/or physical abilities. A particular dexterity test is administered nationwide by a private testing service. It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 80 and standard deviation 8.1. a. A particular employer requires job candidates to score at least 84 on the dexterity test. Approximately what percentage of the test scores during the past year exceeded 84? b. The testing service reported to a particular employer that one of its job candidate's scores fell at the 98th percentile of the distribution (i. e., approximately 98% of the scores were lower than the candidate's, and only 2% were higher). What was the candidate's score?

a.35.57%

b. 100.686

Step-by-step explanation:

To find the percentage of the test scores that exceeded 84, we need to standardize 84 as:

Where m is the mean of the scores and s is the standard deviation. Now, using the standard normal table, we can know the following probability:

P(Z > 0.37) = 0.3557

So, the percentage of the test scores that exceeded 84 were 35.57%

Now, to find the candidate's score that fell at the 98th percentile of the distribution we need to find th z-value that satisfies:

P(Z < z) = 0.98

So, using the standard normal table we have:

z = 2.06

Then, the candidate's score x is 100.686 and it is calculated as:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

unless if u could do my questions, if not i wouldn't want to