Fill in the blanks. a. The mean of all possible sample proportions is equal to the_______. b. For large samples, the possible sample proportions have approximately________a distribution. c. A rule of thumb for using a normal distribution to approximate the d. Distribution of all possible sample proportions is that both________and________are_________ or greater.
Fill in the blanks. a. The mean of all possible sample proportions is equal to the_______. b. For large samples, the possible sample proportions have approximately________a distribution. c. A rule of thumb for using a normal distribution to approximate the d. Distribution of all possible sample proportions is that both________and________are_________ or greater.
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
Section13.3: Special Probability Density Functions
Problem 53E
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Question
Fill in the blanks.
a. The
b. For large samples, the possible sample proportions have approximately________a distribution.
c. A rule of thumb for using a
d. Distribution of all possible sample proportions is that both________and________are_________ or greater.
Expert Solution
Step 1
Introduction
A normal distribution is continuous distribution with a bell shaped curve.
Step 2
a.
Sampling dist. of the sample prop.
- The mean of is equal to the pop. prop., i.e., the sample prop. is an unbiased estimator of the pop. prop.
- The standard deviation of is
- For large n, is approximately normally distributed.
Hence, the mean of all possible sample proportions is equal to the population proportion.
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