1. If the sample size n=2 and the population variance is 7.75,what is the variance of the sampling distributions of means? 2. If the sample size n=3 and the population variance is 8.5,what is the standard deviation of the sampling distributions of means?  3. What is the mean of the population if the mean of the sampling distribution of the means is 14.0? 4. Which of the following states that: “If samples of size n, where n is sufficiently large, are drawn from any population with a mean µ and standard

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. If the sample size n=2 and the population variance is 7.75,what is the variance of the sampling distributions of means?

2. If the sample size n=3 and the population variance is 8.5,what is the standard deviation of the sampling distributions of means? 

3. What is the mean of the population if the mean of the sampling distribution of the means is 14.0?

4. Which of the following states that: “If samples of size n, where n is sufficiently large, are drawn from any population with a mean µ and standard deviation ?, then the sampling distribution of sample means approximates a normal distribution”? 

5. A battery manufacturer claims that its midgrade battery has an average life of 50 months with a standard deviation of 6 months. On the assumption that the manufacturers’ claim is true, find the probability that 30 randomly selected battery of this type will last less than 48 months.(Note: Round to the nearest hundredths)

 

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