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Basic Business Statistics Study Set 3
Exam 7: Sampling Distributions
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Question 41
Short Answer
A study at a college in the west coast reveals that,historically,45% of the students are minority students.If random samples of size 75 are selected,the standard error of the proportion of students in the samples who are minority students is .
Question 42
True/False
The amount of time it takes to complete an examination has a left skewed distribution with a mean of 65 minutes and a standard deviation of 8 minutes.If 64 students were randomly sampled,the probability that the sample mean of the sampled students exceeds 71 minutes is approximately 0.
Question 43
True/False
The standard error of the sampling distribution of a sample proportion is where p is the sample proportion.
Question 44
Short Answer
The amount of tea leaves in a can from a production line is normally distributed with μ = 110 grams and σ = 25 grams.A sample of 25 cans is to be selected.So,95% of all sample means will be greater than how many grams?
Question 45
True/False
The sample proportion is an unbiased estimate of the population proportion.
Question 46
True/False
If the population distribution is symmetric,the sampling distribution of the mean can be approximated by the normal distribution if the samples contain 15 observations.
Question 47
Short Answer
The amount of tea leaves in a can from a production line is normally distributed with μ = 110 grams and σ = 25 grams.A sample of 25 cans is to be selected.What is the probability that the sample mean will be less than 100 grams?