5. What is the difference between the normal distribution and the t-distribution? A. The t-distribution has a lower peak. B. The t-distribution is centered at 0. C. The t-distribution is symmetric in the middle. D. The t-distribution has tails that asymptotic to the horizontal axis 6. When do we use t-distribution instead of normal distribution? A. If the sample variance is unknown B. If the population variance is known C. When the sample size is considered small. D. When the sample size is sufficiently large. 7. In the estimation of a parameter using the t-distribution, is it possible to replace the population standard deviation, o by the sample standard deviation, s? A. No, because the given sample size is small B. No, because o ands differ by a significant amount C. Yes, because o is unknown and s is a good estimator of o. D. Yes, because o is equal to s when we are estimating parameters

MATLAB: An Introduction with Applications
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Answer number 5-8
5. What is the difference between the normal distribution and the t-distribution?
A. The t-distribution has a lower peak.
B. The t-distribution is centered at 0.
C. The t-distribution is symmetric in the middle.
D. The t-distribution has tails that asymptotic to the horizontal axis
15
6. When do we use t-distribution instead of normal distribution?
A. If the sample variance is unknown
B. If the population variance is known
C. When the sample size is considered small.
D. When the sample size is sufficiently large.
7. In the estimation of a parameter using the t-distribution, is it possible to replace
the population standard deviation, o by the sample standard deviation, s?
A. No, because the given sample size is small
B. No, because o ands differ by a significant amount
C. Yes, because o is unknown and s is a good estimator of o.
D. Yes, because o is equal to s when we are estimating parameters
8. What will be the effect on the t distribution curve when we replace o by s?
ed
A. The t-distribution curve will become bell-shaped.
B. The t-distribution curve will be symmetrical to zero.
C. The t-distribution curve will be the same as the normal curve.
D. The t-distribution curve will have a lower peak and thicker tails.
ten'
t.
Transcribed Image Text:5. What is the difference between the normal distribution and the t-distribution? A. The t-distribution has a lower peak. B. The t-distribution is centered at 0. C. The t-distribution is symmetric in the middle. D. The t-distribution has tails that asymptotic to the horizontal axis 15 6. When do we use t-distribution instead of normal distribution? A. If the sample variance is unknown B. If the population variance is known C. When the sample size is considered small. D. When the sample size is sufficiently large. 7. In the estimation of a parameter using the t-distribution, is it possible to replace the population standard deviation, o by the sample standard deviation, s? A. No, because the given sample size is small B. No, because o ands differ by a significant amount C. Yes, because o is unknown and s is a good estimator of o. D. Yes, because o is equal to s when we are estimating parameters 8. What will be the effect on the t distribution curve when we replace o by s? ed A. The t-distribution curve will become bell-shaped. B. The t-distribution curve will be symmetrical to zero. C. The t-distribution curve will be the same as the normal curve. D. The t-distribution curve will have a lower peak and thicker tails. ten' t.
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