Problem base on normal distribution true false

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Reference no: EM131017083

For the following answer True or False for each question

1. A population forms a normal distribution with µ=80 and o=10. In this population, 69.15% of the scores greater than x=75.

2. A population forms a normal distribution with µ=80 and o=10. In this population, 84.13% of the scores greater than x=90.

3. A population forms a normal distribution with µ=80 and o=10. In this population, 42.07% of the scores greater than x=78.

4. If one score is randomly selected from a normal distribution with µ=100 and o=20, the probability of obtaining a score greater than x=110 is 0.6915.

5. If one score is randomly selected from a normal distribution with µ=100 and o=20, the probability of obtaining a score less than x=95 is 0.4013.

6. If one score is randomly selected from a normal distribution with µ=100 and o=20, the probability of obtaining a score less than x=70 is 0.0013.

7. If one score is randomly selected from a normal distribution with µ=100 and o=20, the probability of obtaining a score between x=90 and x=100 is 0.3085.

8. If one score is randomly selected from a normal distribution with µ=100 and o=20, the probability of obtaining a score between x=80 and x=120 is 0.3413.

9. A vertical line drawn through a normal distribution at z=-0.75 will separate the distribution into two sections. The proportion in the smaller section is 0.2734.

10. If samples of size n=16 are selected from a population with µ=40 and o=8, the distribution of sample means will have an expected value of 40.

11. If samples of size n=16 are selected from a population with µ=40 and o=8, the distribution of sample means will have a standard error of 2 points.

12. The mean for a sample of n=4 scores has a standard error of 5 points. This sample was selected from a population with a standard deviation of o=20.

13. The mean for a sample of n=16 scores has an expected value of 50. This sample was selected from a population with a mean of µ=50.

14. On average, a sample of n=16 scores from a population with o=10 will provide a better estimate of the population mean than you would get with a sample of n=16 scores from a population with o=5.

Reference no: EM131017083

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