What is the z value that corresponds to a score of 64 if the mean is 60 and standard deviation is 2?

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00?

What is the probability that a student scored below 91 on this exam?

0.9878
The probability corresponding to the Z score is obtained from the unit normal table. Thus, the probability of getting a grade below 91 on this exam is 0.9878.

What is the percentage of students who got a score of 85 and above?

So the percentage above 85 is 50\% – 47.5\% = 2.5\%.

What is az score and how are z scores used?

A Z-score is a numerical measurement that describes a value’s relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point’s score is identical to the mean score.

What is the probability that a student scored below 86 on this exam?

What is the probability that a student scored below 86 on this exam? The probability that a student scored below 86 is 0.9599 (Round to four decimal places as needed.)

How many students have an IQ from 85 to 120?

68\% of people have IQs between 85 and 115 (100 +/- 15). 95\% have IQs between 70 and 130 (100 +/- (2*15). 99.7\% have IQs between 55 and 145 (100 +/- (3*15).

What percent of the population have scores between 85 and 115?

68\%
Based on the 68-95-99.7 Rule, approximately 68\% of the individuals in the population have an IQ between 85 and 115. Values in this particular interval are the most frequent.

What is the normal deviate for a 60 on a test?

The normal deviate for a score of 60 would be (60–34.5)/16.5=1.545. This represents a cumulative area under the curve of 94\%, so 94\% of students would have a score of 60 or less. The normal deviate for a score of 30 would be (30–34.5)/16.5=-.273.

What is a normal sampling distribution with a mean of 50?

= 30) taken from a population in which m = 50 and s = 5.5. From the Central Limit Theorem, you know this sampling distribution is normal with a mean of 50 and standard error of 5.5 230 ≈ 1.

What is the probability of the sample statistic being 4 standard errors?

If the claim is true, then the probability of the sample statistic being 4 standard errors or more from the claimed value is extremely small. Something is wrong! If your sample was truly random, then you can conclude that the actual proportion of the adult population is not 0.35.

What is the z value of 60 in a standard distribution?

You can state that a certain number of students would be be in the range if the scores were following a standard distribution. Most often, the scores will approximate a standard distribution, so the answer is an approximate value. A score of 30 is -3.5 sigma and a score of 60 is -0.5 sigma. The corresponding Z values are .0002 and .3085.