Question

A company that produces cell phones claims its standard phone battery lasts longer on average than other batteries in the market. To support this​ claim, the company publishes an ad reporting the results of a recent experiment showing that under normal​ usage, their batteries last at least 35 hours. To investigate this​ claim, a consumer advocacy group asked the company for the raw​ data, which are shown to the right. Find a 95​% confidence interval and state your conclusion. Explain how you dealt with any outliers. TIME 33 33 35 33 31 31 33 34 33 55 34 32 Plot the data. Choose the correct histogram below. A. 0600123456Battery Life (hours)# of Batteries A histogram has a horizontal axis labeled Battery Life in Hours from 0 to 60 in increments of 5 and a vertical axis labeled Number of Batteries from 0 to 6 in increments of 1. The histogram has vertical bars of width 5. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 0, 0; 5, 0; 10, 0; 15, 1; 20, 2; 25, 4; 30, 3; 35, 2; 40, 1; 45, 0; 50, 0; 55, 0. B. 060024681012Battery Life (hours)# of Batteries A histogram has a horizontal axis labeled Battery Life in Hours from 0 to 60 in increments of 5 and a vertical axis labeled Number of Batteries from 0 to 12 in increments of 2. The histogram has vertical bars of width 5. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 0, 0; 5, 0; 10, 0; 15, 0; 20, 0; 25, 0; 30, 10; 35, 1; 40, 0; 45, 0; 50, 0; 55, 1. C. 060024681012Battery Life (hours)# of Batteries A histogram has a horizontal axis labeled Battery Life in Hours from 0 to 60 in increments of 5 and a vertical axis labeled Number of Batteries from 0 to 12 in increments of 2. The histogram has vertical bars of width 5. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 0, 1; 5, 0; 10, 0; 15, 0; 20, 1; 25, 10; 30, 0; 35, 0; 40, 0; 45, 0; 50, 0; 55, 0. D. 0600123456Battery Life (hours)# of Batteries A histogram has a horizontal axis labeled Battery Life in Hours from 0 to 60 in increments of 5 and a vertical axis labeled Number of Batteries from 0 to 6 in increments of 1. The histogram has vertical bars of width 5. The heights of the bars are as follows, where the left horizontal axis label is listed first and the height is listed second: 0, 0; 5, 0; 10, 0; 15, 1; 20, 2; 25, 3; 30, 4; 35, 2; 40, 1; 45, 0; 50, 0; 55, 0. Are any of the observations​ outliers? Explain. A. The histogram shows that there are no outliers. The conditions for inference are satisfied. B. The histogram shows two extreme outliers. With these values​ included, the conditions for inference are violated. C. The histogram shows that there is one extreme outlier. With this value​ included, the conditions for inference are violated. D. The histogram shows that there is one extreme outlier. Since the sample size is large​ enough, the Nearly Normal Condition is still satisfied. Find a 95​% confidence interval for the true mean. What do you conclude about the​ claim? If there are​ outliers, find intervals with and without the outliers present. Find the confidence interval using all of the data. The confidence interval is left parenthesis nothing comma nothing right parenthesis,. ​(Round to two decimal places as​ needed.) If outliers are​ present, find the confidence interval without the outliers. Select the correct choice below​ and, if​ necessary, fill in the answer boxes within your choice. A.The confidence interval is left parenthesis nothing comma nothing right parenthesis,. ​(Round to two decimal places as​ needed.) B. The data do not contain any outliers. State the conclusion. Choose the correct answer below. A.The interval with the outliers contains the claimed mean of 35 ​hours, but the interval without outliers lies entirely below the claimed mean.​ Thus, there is not sufficient evidence to support the claim that their batteries last at least 35 hours. B.Both the interval with the outliers and the interval without the outliers contain the claimed mean of 35 hours.​ Thus, there is sufficient evidence to support the claim that their batteries last at least 35 hours. C.Since there are no outliers and the confidence interval lies entirely above the claimed mean of 35 ​hours, there is sufficient evidence to support the claim that their batteries last at least 35 hours.

Answer 1