Question
4. For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm
4. For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If23 womenaged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. (Hint: this is a Central Limit Theorem problem from section 6.4 so you have to compute a new standard deviation and use normalcdf.
A) 0.3343
B) 0.0577
C) 0.9341
D) 0.0833
Group of answer choices
0.3343
0.0577
0.9341
0.0833
5. What is the IQ score that separates the top 14% from the bottom 86%?
(Hint: Use 2nd VARS invnorm )
Group of answer choices
116
79
35
140
6. If a sample size is < ________, the sample size must come from a population having a normal distribution in order to follow normal distribution calculations.
A) 50
B) 30
C) 100
D) 40
Group of answer choices
50
30
100
40
7. If z is astandard normalvariable as seen in section 6.1, find the probability that z lies between -1.10 and -0.36
A) 0.2477
B) 0.4951
C) -0.2357
D) 0.2238
Use mean=0. standard deviation=1, and between -1.10 and -0.36 using normalcdf on a calculator or visiting the website below.
https://www.hackmath.net/en/calculator/normal-distribution?mean=0&sd=1&area=above&above=-1.82&below=&ll=&ul=&outsideLL=&outsideUL=&draw=CalculateLinks to an external site.
Group of answer choices
0.2477
0.4951
-0.2357
0.2238
8. Which of the following is true about the distribution of IQ scores?
A) The mean is 100.
B) The mean is 50.
C) The standard deviation is 5.
D) The standard deviation is 10.
Group of answer choices
The mean is 100.
The mean is 50.
The standard deviation is 5
The standard deviation is 10.
9. Which of the following is true about the distribution of IQ scores?
A) Its distribution is skewed to the left.
B) The area under its bell-shaped curve is 5.
C) The area under its bell-shaped curve is 1.
D) It is a standard normal distribution.
Group of answer choices
Its distribution is skewed to the left.
The area under its bell-shaped curve is 5.
The area under its bell-shaped curve is 1.
It is a standard normal distribution.
10. Find the area of the shaded region below an IQ score of 110. The graph depicts IQ scores of adults, and those scores are normally distributed with amean of 100and astandard deviation of 15(as on the Wechsler test).
A) 0.6293
B) 0.7475
C) 0.4400
D) 0.8051
Use the calculator with normalcdf and remember the tail goes out to -99999.
or you can use the online calculator below:
https://www.hackmath.net/en/calculator/normal-distribution?mean=0&sd=1&area=above&above=-1.82&below=&ll=&ul=&outsideLL=&outsideUL=&draw=CalculateLinks to an external site.
Group of answer choices
0.6293
0.7475
0.4400
0.8051
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