Few questions

#1
1.For the population standard deviations given below, what is the standard error (standard deviation of the sampling distribution of the mean) for samples of size N?

a. If σx= 20, N = 25
b. If σx= 20, N = 36
c.If σx = 20, N =64
d. What do you notice about the standard error as the sample size increases

2. In a normal distribution with µ = 50 and and σx =10, what is the probability of randomly selecting a participant who scores:

a. 65 or higher?
b. 64 or lower?
c. between 40 and 60?
d. 45 or higher?
e. 45 or lower?
f. between 35 and 45?
g. between 52 and 68?

3. Assuming a normal population distribution with µ= 100 and σx = 16, what is the probability of obtaining the following means for groups of participants chosen randomly?

a. Mean X = 108 or higher, N = 16
b. Mean X = 100 or higher, N = 100
c. Mean X = 102 or higher, N = 100
d. Mean X = 98 or lower, N = 64
e. Mean between 98 and 104, N = 16
f. Mean between 96 and 98, N = 4