Question: Nancy took a standard IQ test (mean M = 100 and Standard Deviation S = 15) and scored 125. Nancy's mom took the IQ test

Nancy took a standard IQ test (mean M = 100 and Standard Deviation S = 15) and scored 125.

Nancy's mom took the IQ test long time ago and had a z score of 2.67.

Calculate Nancy's SAT score (SAT mean M= 500, Standard deviation S= 100) using

her IQ test Z score

13- Using Z table, calculate the area above (- 1.10)

A)86.43%

B)36.43%

C)13.57%

D)81.99%

14- Using z table, calculate the area below 1.65

A)95.05%

B)45.05%

C)4.95%

D)99.09%

15- Nancy scored in Biostatistics test in the top 5% of the class (above 95% of class).

What is her z score?

A)1.65

B)2.58

C)1.96

D)1.61

16- For a sample size of 16, what is the standard error of the mean if you know that the

population standard deviation is 5.2234

A)2.0097

B)1.0020

C)1.30585

D)1.8888

17- Which of the following is true:

A)By decreasing the sample size, the standard error decreases

B)By increasing the sample size, the standard error increases

C)By increasing the sample size, the standard error decreases

D)None of the above

18- In a normally distributed data, 95% of the area under the curve falls between:

A)Z = 1.65 from the mean

B)Z= 2.58 from the mean

C)Z= 1.96 from the mean

D)Z= 1.40 from the mean

19- A random sample of size 9 is taken from a population of scores that are normally

distributed with a mean of 12 and a standard deviation of 3.5. Calculate the standard

error of the mean

A)1.88

B)1.34

C)1.17

D)1.02

20- Construct the population 95% confidence interval if the population mean is

12 and the standard error of the mean is 2

A)(8.08,15.92)

B)(9.71,14.29)

C)(7.99, 13.65)

D)(8.56, 15.01)

21- Construct the 99% confidence interval for the a population if the population mean is

12 and the standard error of the mean is 2

A)(6.84,17.16)

B)(9.71,14.29)

C)(8.08,15.92)

D)(6.001, 16.52)

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