1. The Burns Company produces inanimate carbon rods that the company claims are
ID: 3133381 • Letter: 1
Question
1. The Burns Company produces inanimate carbon rods that the company claims are of length 13 inches. Please test the company's claim by analyzing the lengths of a random sample of 10 inanimate carbon rods. Test the claim by using = 0.05. The data follows: 11.1, 13.5, 11.7, 13.4, 11.5, 15.2, 12.0, 10.2, 13.5, 11.1. Assume the data was sampled from a normal distribution. what is the correct conclusion of the hypothesis test?
2. The margin of error can be determined if you know only the length of the confidence interval.
a. True
b. False
3. Increasing the sample size will decrease the beta error of an hypothesis test.
a. True
b. False
4. Decreasing the confidence level decreases the length of the confidence interval.
a. True
b. False
5. The confidence interval for a population mean can be obtained if the experimenter
knows only the margin of error and the sample mean.
a. True
b. False
6. The margin of error depends on the confidence level of the confidence interval.
a. True
b. False
7. Values from a t-distribution are based on degrees of freedom.
a. True
b. False
8. The significance level of any hypothesis test is the Type I error rate.
a. True
b. False
9. Doctors have long claimed that the temperature of the human body is 98.6 ºF.
Students at a school in Norway tested this long held belief by measuring the
temperatures of 20 students. From the sample, they calculated x = 98.6 and
s = 0.62 . What are the null and alternative hypotheses that should be used to test
the doctors' long held belief?
a. Ho: = 98.6 ºF; Ha: 98.6 ºF
b. Ho: 98.6 ºF; Ha: = 98.6 ºF
c. Ho: = 98.6 ºF; Ha: > 98.6 ºF
d. Ho: < 98.6 ºF; Ha: = 98.6 ºF
Explanation / Answer
2. False - three (3) variables are utilized for computation of MOE
3. false as Power is probability of rejecting Ho when Ho is false (correct decision).
For a specific H1:
As alpha increases, the probability of a Type II error (Beta) decreases.
Power = 1 - Beta.
So as alpha increases, Beta decreases and Power increases
4. true
5. true
6. False
7. true
8. True
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