Question

Based on the model, what percent of people should have IQ scores above 116? What percent of people should have IQ scores between 68 and 84? What percent of people should have IQ scores above 132?

Step 1

Given a normal distribution with mean 100 and standard deviation 16.

IQ score 116 is one standard deviation (16)away from mean 100. From given diagram of empirical rule we know that with in one standard deviation of mean the data is 68%. So from 84 to 116 percentage of data is 68%. As this is symmetric and normal curve the mean divides the region from 84 to 116 equally. So the region from 100 to 116 will have half of 68% that is 34%.

The percentage of people with IQ score from 100 to 116 is 34%

THe percentage of people with more than 100 IQ score is 50% as 100 is the mean.

So the percentage of data with IQ score above 116 = percentage of people with I score greater than 100 - percentage of people with IQ score between 100 and 116.

the percentage of data with IQ score above 116 = 50%-34% = 16%

Step 2

The percentage of people with IQ score from 84 to 100 = 34%.

The percentage of people with IQ score 68 to 132 is 95% and as 100 is mean the percentage of people with IQ score from 68 to 100 is 47.5%.

The percentage of people wi...

Tagged in

Q: When a researcher rejects a null hypothesis and he should have reject it what can of error has resea...

A: Hypothesis:Hypothesis is an assumption about the parameter of the population which will be made on t...

Q: Let z=a be a positive z-score in a standard normal distribution such that the area between z=-a and ...

A: Normal distribution:A random variable X is said to follow a normal distribution if the probability d...

Q: In a population of ages where the mean age is 45 and the standard deviation is 5.25, what are the ag...

A: Given mean age = 45Standard deviation = 5.25The Z score with 0.0505 to its left is -1.64 and the Z s...

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: Leah Peschel is the bottling department manager for a bottling company that produces various soft dr...

A: GivenNull hypothesis H0: µ1 = µ2Alternative hypothesis Ha : µ1 ≠ µ2Sample mean number of cola bott...

Q: Make a frequency table, a pie chart, and a bar plot for the following data for patients' blood types...

A: Frequency distribution:The number of times each value of X repeats is the frequency of that particul...

Q: Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If...

A: We are given two normal distributions with mean = 0 and standard deviations σ1 and σ2.

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average ...

A: (a)The scatter diagram for the provided data can be plotted using Excel.The steps are given below:En...

Q: Consider the probability distributions you have studied so far. Which of the following distributions...

A: Discrete distribution:If the probability of outcome of a statistical distribution is finite, then it...

Sorry about that. What wasn’t helpful?