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In: Statistics and Probability

Describe a confidence interval for the mean of a population by stating 1. a population and...

Describe a confidence interval for the mean of a population by stating 1. a population and a quantitative variable on that population, 2. a sample size, 3. a sample mean of that variable, and 4. a sample standard deviation, and 5. a confidence level, then 6. finding the interval. Then perform a test of significance on the mean of the population by stating 7. both a null and an alternative hypothesis and 8. an α-level, then finding 9. the one-sample t-statistic and either 10. rejecting or failing to reject the null hypothesis. Remember that you do not need to list the values of the variable for individuals in either the sample or the population, and that the values for 2, 3, 4, 5, and 8 do not need to be calculated, only stated.

Solutions

Expert Solution

All the notations have been used in their standard form. Be careful with one sided and two sided tests , upper and lower alpha points and the interpretation of level of significance .

T distribution is used when the population standard deviation is unknown.


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