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In a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 2105 people, 341 thought the sun went around Earth. a. What proportion of people in the survey believed the sun went around Earth? b. Find a 95% confidence interval for the proportion of all people with this belief. c. Suppose a scientist said that 25% of people in the general population believe the sun goes around Earth. Using the confidence interval, would you say that was plausible? Explain your answer. a. The proportion of people in the survey who believed the sun went around Earth is (Round to three decimal places as needed.) b. The 95% confidence interval is (Round to three decimal places as needed.) c. Is the scientist's claim that 25% of people in the general population believe the sun goes around Earth plausible? plausible, since the value is of the confidence interval. (Type an integer or a decimal. Do not round.) inside not insideIn a survey, people were asked whether they thought sun went around the planet Earth or vice versa. Of 2105 people, 341 thought the sun went around Earth. a. What proportion of people in the survey believed the sun went around Earth? b. Find a 95% confidence interval for the proportion of all people with this belief. c. Suppose a scientist said that 25% of people in the general population believe the sun goes around Earth. Using the confidence interval, would you say that was plausible? Explain your answer. a. The proportion of people in the survey who believed the sun went around Earth is (Round to three decimal places as needed.) b. The 95% confidence interval is (Round to three decimal places as needed.) c. Is the scientist's claim that 25% of people in the general population believe the sun goes around Earth plausible? plausible, since the value is of the confidence interval. decimal. Do not round.) Yes, it is No, it is notYou are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of $134.00. Assume the population standard deviation is $15.10. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (, (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is (, ). (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%. O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. O C. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, itYou are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of $134.00. Assume the population standard deviation is $15. 10. The 90% confidence interval is( , ). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%. O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. O C. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%.You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 44 business days, the mean closing price of a certain stock was $119.86. Assume the population standard deviation is $10.22. The 90% confidence interval is ( (Round to two decimal places as needed.) The 95% confidence interval is (.0). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 95% confidence interval O The 90% confidence interval Interpret the results. O A. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O B. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 40 of the 44 days, and was within the 95% confidence interval for approximately 42 of the 44 days. O C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90%You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 44 business days, the mean closing price of a certain stock was $119.86. Assume the population standard deviation is $10.22. The 95% confidence interval is (). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 95% confidence interval O The 90% confidence interval Interpret the results. A. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O B. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 40 of the 44 days, and was within the 95% confidence interval for approximately 42 of the 44 days. O C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidence interval, and 95% confident for the 95% interval. O D. You can be 90% confident that the population mean price of the stock is outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval.You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 63 dates, the mean record high daily temperature in a certain city has a mean of 84.51 F. Assume the population standard deviation is 13.55 F. The 90% confidence interval is( (Round to two decimal places as needed.) The 95% confidence interval is ( (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 90% confidence interval O The 95% confidence interval Interpret the results. A. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 57 of the 63 days, and was within the 95% confidence interval for approximately 60 of the 63 days. O B. You can be certain that the population mean record high temperature is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O C. You can be 90% confident that the population mean record high temperature is outside the bounds of the 90%You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 63 dates, the mean record high daily temperature in a certain city has a mean of 84.51 F. Assume the population standard deviation is 13.55 F. (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. O The 90% confidence interval O The 95% confidence interval Interpret the results. O A. You can be certain that the mean record high temperature was within the 90% confidence interval for approximately 57 of the 63 days, and was within the 95% confidence interval for approximately 60 of the 63 days. O B. You can be certain that the population mean record high temperature is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. O C. You can be 90% confident that the population mean record high temperature is outside the bounds of the 90% confidence interval, and 95% confident for the 95% interval. O D. You can be 90% confident that the population mean record high temperature is between the bounds of the 90% confidence interval, and 95% confident for the 95% interval
