Use the normal distribution of SAT critical reading scores for which the mean is 508and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550​? (b) If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 525​?   (Round to the nearest whole number as​ needed.)       #2 In a survey of women in a certain country​ (ages20−​29),the mean height was 63.9 inches with a standard deviation of 2.75 inches. Answer the following questions about the specified normal distribution. ​(a) What height represents the 95th ​percentile? ​(b) What height represents the first​ quartile?   #3 A population has a mean μ=143and a standard deviation σ=22. Find the mean and standard deviation of the sampling distribution of sample means with sample size n=52.   The mean is μx=   and the standard deviation is σx=   #4   The weights of ice cream cartons are normally distributed with a mean weight of 9ounces and a standard deviation of 0.3 ounce.   ​(a) What is the probability that a randomly selected carton has a weight greater than 9.15 ounces? ​(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 9.15 ​ounces?   (Round to four decimal places as​ needed.)

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#1
Use the normal distribution of SAT critical reading scores for which the mean is 508and the standard deviation is 115.
Assume the variable x is normally distributed.
(a)
What percent of the SAT verbal scores are less than
550​?
(b)
If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than
525​?
 
(Round to the nearest whole number as​ needed.)  
 
 
#2
In a survey of women in a certain country​ (ages20−​29),the mean height was 63.9 inches with a standard deviation of
2.75 inches. Answer the following questions about the specified normal distribution.
​(a) What height represents the 95th ​percentile?
​(b) What height represents the first​ quartile?
 
#3
A population has a mean μ=143and a standard deviation σ=22.
Find the mean and standard deviation of the sampling distribution of sample means with sample size n=52.
 
The mean is
μx=
 
and the standard deviation is
σx=
 
#4
 
The weights of ice cream cartons are normally distributed with a mean weight of 9ounces and a standard deviation of 0.3
ounce.
 
​(a) What is the probability that a randomly selected carton has a weight greater than 9.15 ounces?
​(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 9.15
​ounces?
 
(Round to four decimal places as​ needed.)
 
 
thanks a lot!
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