Recall that a tt-distribution has "fatter tails" than a normal distribution, so that a higher proportion of the tt-distribution is in the tails, and a smaller proportion is in the middle. a)If we mistakenly used the z-distribution instead of t-distribution when performing a hypothesis test for a mean, what would happen to our P-value? Choice 1 of 3:The P-value calculated from the Z-distribution would be larger than the P-value from the t-distribution. Choice 2 of 3:The P-value calculated from the Z-distribution would be smaller than the P-value from the t-distribution. Choice 3 of 3:The P-values from the two distributions would be about the same. b)If we mistakenly use the Z-distribution instead of a t-distribution when performing a hypothesis test for a mean, how does this affect how likely we are to reject the null hypothesis amd why? Choice 1 of 3:We are more likely to reject the null hypothesis when using the Z-distribution than we are with the t-distribution. Choice 2 of 3:We are less likely to reject the null hypothesis when using the Z-distribution than we are with a t-distribution. Choice 3 of 3:We are equally likely to reject in both situations.
Recall that a tt-distribution has "fatter tails" than a normal distribution, so that a higher proportion of the tt-distribution is in the tails, and a smaller proportion is in the middle. a)If we mistakenly used the z-distribution instead of t-distribution when performing a hypothesis test for a mean, what would happen to our P-value? Choice 1 of 3:The P-value calculated from the Z-distribution would be larger than the P-value from the t-distribution. Choice 2 of 3:The P-value calculated from the Z-distribution would be smaller than the P-value from the t-distribution. Choice 3 of 3:The P-values from the two distributions would be about the same. b)If we mistakenly use the Z-distribution instead of a t-distribution when performing a hypothesis test for a mean, how does this affect how likely we are to reject the null hypothesis amd why? Choice 1 of 3:We are more likely to reject the null hypothesis when using the Z-distribution than we are with the t-distribution. Choice 2 of 3:We are less likely to reject the null hypothesis when using the Z-distribution than we are with a t-distribution. Choice 3 of 3:We are equally likely to reject in both situations.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Recall that a tt-distribution has "fatter tails" than a
a)If we mistakenly used the z-distribution instead of t-distribution when performing a hypothesis test for a mean, what would happen to our P-value?
Choice 1 of 3:The P-value calculated from the Z-distribution would be larger than the P-value from the t-distribution.
Choice 2 of 3:The P-value calculated from the Z-distribution would be smaller than the P-value from the t-distribution.
Choice 3 of 3:The P-values from the two distributions would be about the same.
b)If we mistakenly use the Z-distribution instead of a t-distribution when performing a hypothesis test for a mean, how does this affect how likely we are to reject the null hypothesis amd why?
Choice 1 of 3:We are more likely to reject the null hypothesis when using the Z-distribution than we are with the t-distribution.
Choice 2 of 3:We are less likely to reject the null hypothesis when using the Z-distribution than we are with a t-distribution.
Choice 3 of 3:We are equally likely to reject in both situations.
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