The distribution of cholesterol levels of the residents of a state closely follows the normal curve. Investigators want to test whether the mean cholesterol level of the residents is 200 mg/dL or lower. A simple random sample of 12 residents has a mean cholesterol level of 185 mg/dL, with an SD of 20 mg/dL (computed as the ordinary SD of a list of 12 numbers, with 12 in the denominator).
Let m be the mean cholesterol level of the residents of the state, measured in mg/dL. Perform a t test of the hypotheses
Null: m = 200 Alternative: m < 200
QUESTION 1.
You are using data from a simple random sample to test the given hypotheses. Which of the following collections of observations is further required to justify the use of a t distribution to compute the P-value?
The distribution of the cholesterol levels of the residents of the state is close to normal.
The distribution of the cholesterol levels of the residents of the state is close to normal, with an unknown mean.
The distribution of the cholesterol levels of the residents of the state is close to normal, with an unknown mean and an unknown SD.
QUESTION 2
The t distribution that should be used has ______ degrees of freedom.
QUESTION 3
The value of the t statistic is closest to
-2 -2.1 -2.2 -2.3 -2.4 -2.5 -2.6 -2.7 -2.8 -2.9 -3
QUESTION 4
The P-value of the test is closest to
0.5% 1% 1.5% 2% 2.5% 3%
QUESTION 5
The conclusion of the test is to
reject the null hypothesis
not reject the null hypothesis
Thank you!!!!!
25 answers
The distribution of the cholesterol levels of the residents of the state is close to normal, with an unknown mean and an unknown SD.
QUESTION 4
2%
QUESTION 5
reject the null hypothesis
QUESTION 2
2
QUESTION 3
-2.3
ans is 1.5%
"one-sample z = (2.95 - 2.9)/0.055 = 0.909; P large; conclude chance variation"
P4: -2.6 -2.1 and -2.3 are wrong
P5: 1%, 2.5%, and 0.5% are wrong
PROBLEM 1 -
A statistical test is performed, and its P-value turns out to be about 3%. Which of the following must be true? Pick all that are correct.
PROBLEM 3 -
The t distribution that should be used has ______ degrees of freedom.
PROBLEM 4 -
The value of the t statistic is closest to
Note- me and my friends found the below ones are to be wrong ans to PROBLEM 4
-2.6
-2.8
-2.3
-2.9
-2.1
-2.7
so ans could be one among these
-2
-2.2
-2.4
-2.5
-3
@stat002- answer already posted as
"The P-value of the test is closest to
ans is 1.5% "
jiskha com/display.cgi?id=1375826423
put a . b/w 1st two words.. site is not allowing me to post weblinks
The link you gave us is not directing on a specific question.
PROBLEM 1
ans: E & F
PROBLEM 2
ans: C - "The distribution of the cholesterol levels of the residents of the state is close to normal, with an unknown mean and an unknown SD"
PROBLEM 3
ans:11
PROBLEM 4
ans:-2.5
PROBLEM 5
ans:1.5%
PROBLEM 6
ans:reject the null hypothesis
PROBLEM 7
ans:14.5
PROBLEM 8
ans:1.8
PROBLEM 9
ans:3
PROBLEM 10
ans: B - "one-sample z = (2.95 - 2.9)/0.055 = 0.909; P large; conclude chance variation"
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