Question
In: Statistics and Probability
A magazine includes a report on the energy costs per year for 32-inch liquid crystal display...
A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $ 3.28 3.28. Assume the sample is taken from a normally distributed population. Construct 99 99% confidence intervals for (a) the population variance sigma σ squared 2 and (b) the population standard deviation sigma σ. Interpret the results. (a) The confidence interval for the population variance is ( nothing , nothing ). (Round to two decimal places as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. With 99 99% confidence, you can say that the population variance is between nothing and nothing . B. With 1 1% confidence, you can say that the population variance is between nothing and nothing . C. With 99 99% confidence, you can say that the population variance is greater greater than nothing . D. With 1 1% confidence, you can say that the population variance is less less than nothing . (b) The confidence interval for the population standard deviation is ( nothing , nothing ). (Round to two decimal places as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. With 99 99% confidence, you can say that the population standard deviation is between nothing and nothing dollars per year. B. With 1 1% confidence, you can say that the population standard deviation is greater greater than nothing dollars per year. C. With 99 99% confidence, you can say that the population standard deviation is less less than nothing dollars per year. D. With 1 1% confidence, you can say that the population standard deviation is between nothing and nothing dollars per year.
Solutions
Expert Solution
Plug in all the values in the formula, We get
The confidence interval for the population variance is
With
99% confidence, you can say that the population variance is
between 
and 
.
Plug in all the values in the formula, We get
The confidence interval for the population standard
deviation is 
With 99% confidence, you can say that the population
variance is between 
and 
dollars per year.
orchestra answered 2 years agoRelated Solutions
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