Answer:
Step-by-step explanation:
Given that :
the null and the alternative hypothesis are computed as :
This is a two tailed test
This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .
Decision Rule: at the level of significance ∝ = 0 . 10
The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64
NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW
Answer:
Step-by-step explanation:
X - Heights of women aged 20 to 29: X is N(64, 2.7)
Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)
a) X=6'=72"
Z=
b) Y = 72"
z=
c) 72' women can be taken as very tall but men moderately taller than average
d) Y<5'5" =65"
Z<
e) X>73"
Z>
Almost 0% can be taken
f) IQR =Q3-Q1
Z scores =
The correct answer is D because there is one area that is a cluster (bundle of dots in one area) and one outlier (away from all the other points; irrelevant).
Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as , 
And the variance is given by, 
Given : 
= 0.001
The formulae of mean and variance are :
a). Mean =
= 
= 1000
Variance =
= 
= 999,000
The standard deviation is determined by the root of the variance.
= 
= 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).
= $ 0.50
Since the answer is negative, we are expected to make a loss.
