The U.S. Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in in a rural area is 8290 dollars. You believe this value is is too low, so you sample 15 rural families and find the following costs (in dollars) of raising a child from birth to age 2. 8286, 8411, 8264, 8418, 8247, 8425, 8319, 8240, 8375, 8461, 8235, 8477, 8313, 8339, 8256 Conduct a hypothesis test based on this sample data, with a = 5%. Answer the question, is the mean cost of raising a child greater than 8290 dollars? (a) State the hypotheses: Họ: The Select an answer v cost in dollars of raising a child from birth to age 2 dollars. Selecd an answer Symbols: O p - p HyO Hen-0 O HeO HOn-th
The U.S. Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in in a rural area is 8290 dollars. You believe this value is is too low, so you sample 15 rural families and find the following costs (in dollars) of raising a child from birth to age 2. 8286, 8411, 8264, 8418, 8247, 8425, 8319, 8240, 8375, 8461, 8235, 8477, 8313, 8339, 8256 Conduct a hypothesis test based on this sample data, with a = 5%. Answer the question, is the mean cost of raising a child greater than 8290 dollars? (a) State the hypotheses: Họ: The Select an answer v cost in dollars of raising a child from birth to age 2 dollars. Selecd an answer Symbols: O p - p HyO Hen-0 O HeO HOn-th
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Part A, B, C, E, G

Transcribed Image Text:The U.S. Department of Agriculture reports that the mean cost of raising a child from birth to age 2 in in a
rural area is 8290 dollars. You believe this value is is too low, so you sample 15 rural families and find the
following costs (in dollars) of raising a child from birth to age 2.
8286, 8411, 8264, 8418, 8247, 8425, 8319, 8240, 8375, 8461, 8235, 8477, 8313, 8339, 8256
Conduct a hypothesis test based on this sample data, with a = 5%. Answer the question, is the mean cost of
raising a child greater than 8290 dollars?
(a) State the hypotheses:
Ho: The Select an answer
v cost in dollars of raising a child from birth to age 2
Select an answer
dollars.
Symbols: O 1 - p2O HpO Hz-0 µO HzO Ho-P EV
Ha: The Select an answer
v cost in dollars of raising a child from birth to age 2
Select an answer
dollars.
(b) The correct symbol for the mean of the sampling distribution is:
Op
Op
OPi - Pa
Or
O p-
(c) The value for the mean of the sampling distribution is:
(d) Choose the correct distribution:
T-Distribution
O Chi-Square Distribution
esc
10
# No
3.
4.
6.
8.
Ey
R
K
YH

Transcribed Image Text:(e) State the decision rule:
% if the p-value of the
Reject HO and accept Ha v o at a
sample statistic
v o is Select an answer
(f) Experiment:
Symbol of the sample statistic:
Ox
O p
Op
Op
Or
Op
O pz
OPi - Pa
Value of the sample statistic rounded to 2 decimal places:
P-value of the sample statistic rounded to 4 decimal places:
(g) Conclusion: Reject HO and accept Ha v o at a=
(h) Answer the question: Is the mean cost of raising a child greater than 8290 dollars?
O Yes, because the p-value is greater than alpha.
O No, because the p-value is less than alpha.
O Yes, because the p-value is less than alpha.
O No, because p-value
greater than alpha.
(i) Error: What type of error could have been made in this test, and what does it mean?
O Type I Error - the mean is truly 8290, but we incorrectly rejected a true null hypothesis.
144
24
# No
3.
6.
Wu
Ey
R
K
YH
Ou
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