Consider the following hypotheses:
H0: σ2 = 210
HA: σ2 ≠ 210
Find the p-value based on the following sample
information, where the sample is drawn from a normally distributed
population.
a. s2= 281; n =
34
The p-value is___________.
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
b. s2= 139; n =
34
The p-value is___________.
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
c. Which of the above...
Consider the following hypotheses:
H0: σ2 = 210
HA: σ2 ≠ 210
Find the p-value based on the following sample
information, where the sample is drawn from a normally distributed
population.
a. s2 = 303; n
= 28
b. s2 = 108; n
= 28
c. Which of the above sample information
enables us to reject the null hypothesis at α = 0.01?
s2 = 303; n = 28
Do not reject the null hypothesis the population
variance does not differ...
Consider the following hypotheses:
H0: σ2 = 210
HA: σ2 ≠ 210
Find the p-value based on the following sample
information, where the sample is drawn from a normally distributed
population.
a. s2 = 281; n =
34
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
b. s2 = 139; n =
34
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
c. Which of the above sample information
enables us...
1. Assume X ∼ N(20, 25),
(a) find P(X > 25)
(b) the value of x if P(X > x) = 0.975.
(c) find the values of a and b, two symmetrical values about 20
such that P(a < X < b) = 0.95.
(d) If X1, X2, . . . , X100 is random sample for the
distribution of X
• what is the sampling distribution of the sample mean X¯?
• find P(X >¯ 20.50)
(e) Suppose the...
please be very specific on showing work done!!
If Z∼N(μ=0,σ2=1)Z∼N(μ=0,σ2=1), find the following
probabilities:
P(Z<1.58)=P(Z<1.58)=
P(Z=1.58)=P(Z=1.58)=
P(Z>−.27)=P(Z>−.27)=
P(−1.97<Z<2.46)=
9. Let X ~ N(194; 24). Find:
(a) P(X <= 218)
(b) P(145 < X < 213)
(c) The first quartile for X
(d) The third quartile for X
(e) the IQR for X
(f) P(|X-194|> 41)
10. A soft drink machine discharges an average of 345 ml per
cup. The amount of drink is normally distributed with standard
deviation of 30 ml. What fraction of cups will contain more than
376 ml? (Keep 4 decimals)
Let X ~ N(190; 23). Find:
(a) P(X <= 213)
(b) P(148 < X < 202)
(c) The first quartile for X
(d) The third quartile for X
(e) the IQR for X
(f) P(|X-190|> 34