Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? OA. 0.1 3.50 6.9 Outcome Probability 0.3 0.25 0.2 0.15- 0.1- 0.05 0² 123456 Outcome (ii) Which graph shows the sampling distribution of the sample mean for n=2? O C. O D. Probability et more help. 0111 B. 0.23 Outcome 0.15 0.1 0.05- *** 123456 Outcome 0++++ Probability 0.23 0.15 123456 Outcome 0.1- 0.05- 123456 Outcome b. (i) For n=2, the mean is and the standard deviation is (Round to two decimal places as needed.) - Clear all 1.1 3.50 5.9 Outcome ^ 0.1 3.50 6.9 Outcome Check answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
K
Let X denote the outcome of rolling a die.
a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the
sample mean for n = 2. (You can think of (i) as the population distribution you would get if you
could roll the die an infinite number of times.)
b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean
and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30.
What is the effect of n on the sampling distribution?
T
OA.
0.1 3.50 6.9
Outcome
0.3
0.25-
0.2
0.15
(ii) Which graph shows the sampling distribution of the sample mean for n = 2?
0.1-
0.05-
0²
123456
Outcome
Get more help.
Y
átv
01
0!!!!!
1 2 3 4 5 6
Outcome
B.
&
0.22
0.15
0.1-
0.05
0-
MacBook Air
+
1 2 3 4 5 6
Outcome
b. (i) For n=2, the mean is and the standard deviation is.
(Round to two decimal places as needed.)
U
A4
F7
01
0++++++
1 2 3 4 5 6
Outcome
O C.
8
0.23
0.15-
0.1
0.05-
03
1 2 3 4 5 6
Outcome
Clear all
DII
FB
·
O D.
JC
s
0.1 3.50 6.9
Outcome
1.1 3.50 5.9
Outcome
Check answer
19
0
A
F10
P
C
Understanding-
Privilege... Handout
11
Transcribed Image Text:K Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? T OA. 0.1 3.50 6.9 Outcome 0.3 0.25- 0.2 0.15 (ii) Which graph shows the sampling distribution of the sample mean for n = 2? 0.1- 0.05- 0² 123456 Outcome Get more help. Y átv 01 0!!!!! 1 2 3 4 5 6 Outcome B. & 0.22 0.15 0.1- 0.05 0- MacBook Air + 1 2 3 4 5 6 Outcome b. (i) For n=2, the mean is and the standard deviation is. (Round to two decimal places as needed.) U A4 F7 01 0++++++ 1 2 3 4 5 6 Outcome O C. 8 0.23 0.15- 0.1 0.05- 03 1 2 3 4 5 6 Outcome Clear all DII FB · O D. JC s 0.1 3.50 6.9 Outcome 1.1 3.50 5.9 Outcome Check answer 19 0 A F10 P C Understanding- Privilege... Handout 11
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