Question

In: Math

1) For 31 randomly selected Rolling Stones concerts, the mean gross earnings is 2.61 million dollars....

1) For 31 randomly selected Rolling Stones concerts, the mean gross earnings is 2.61 million dollars. Assuming a population standard deviation gross earnings of 0.5 million dollars, obtain a 99% confidence interval (assume C-Level=0.99) for the mean gross earnings of all Rolling Stones concerts (in millions). Confidence interval: ___,___

2) correct interpretation for part 1 answers?

a. 99% chance that the mean gross earnings of all rolling stones concerts lies in the interval

b. 99% confident that the mean gross earning for this sample of 31 rolling stones concerts lies in the interval

c. 99% confident that the mean gross earning of all rolling stones concerts lies in the interval

d. none of the above

Solutions

Expert Solution

We have given that,                              
                              
Sample mean =2.61 million dollars.                       
Population standard deviation=0.5 million dollars.                   
Sample size=31                      
Level of significance =1-0.99=0.01                      
Z critical value (by using Z table)=2.58                      
                              
Confidence interval formula is


=(2.38,2.84)                              
                              
Lower confidence limit =2.38 million dollars.                   
Upper confidence limit =2.84 million dollars.       

c. 99% confident that the mean gross earning of all rolling stones concerts lies in the interval          


Related Solutions

a) For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.36 million dollars....
a) For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.36 million dollars. Assuming a population standard deviation gross earnings of 0.48 million dollars, obtain a 99% confidence interval for the mean gross earnings of all Rolling Stones concerts (in millions). Confidence interval: ( , ). b) Which of the following is the correct interpretation for your answer in part (a)? A. We can be 99% confident that the mean gross earnings of all Rolling Stones concerts...
Rock band The Rolling Stones have played scores of concerts in the last twenty years. For...
Rock band The Rolling Stones have played scores of concerts in the last twenty years. For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.65 million dollars. Part a) Assuming a population standard deviation gross earnings of 0.47 million dollars, obtain a 99% confidence interval for the mean gross earnings of all Rolling Stones concerts (in millions). Please carry at least three decimal places in intermediate steps. Give your answer to the nearest 3 decimal places. confidence...
Rock band The Rolling Stones have played scores of concerts in the last twenty years. For...
Rock band The Rolling Stones have played scores of concerts in the last twenty years. For 30 randomly selected Rolling Stones concerts, the mean gross earnings is 2.19 million dollars. Part a) Assuming a population standard deviation gross earnings of 0.48 million dollars, obtain a 99% confidence interval for the mean gross earnings of all Rolling Stones concerts (in millions). Please carry at least three decimal places in intermediate steps. Give your answer to the nearest 3 decimal places. Confidence...
1. The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data...
1. The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to​ (a) find the sample​ mean, (b) find the sample standard​ deviation, and​ (c) construct a​ 98% confidence interval for the population mean. 99 comma 562 80 comma 800 78 comma 478 67 comma 513 51 comma 609 68 comma 005 93 comma 538 65 comma 987 78 comma 937 73 comma 393 44 comma 374 86 comma 745 61...
The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table....
The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to​ (a) find the sample​ mean, (b) find the sample standard​ deviation, and​ (c) construct a​ 98% confidence interval for the population mean. 100,095 81,395 77,851 68,184 51,784 68,158 94,436 66,446 75,556 78,621 74,185 44,588 86,744 60,998 57,664 55,388 78,844 61,904 47,480 98,368 80,618 93,023 63,344 75,122 51,049 60,873 82,029 91,267 84,094 79,834 63,872 73,989 57,207 46,919 88,912 The monthly incomes...
The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table....
The annual earnings​ (in dollars) of 35 randomly selected microbiologists are shown in the data table. Use the data to​ (a) find the sample​ mean, (b) find the sample standard​ deviation, and​ (c) construct a​ 98% confidence interval for the population mean. 100,700 81,419 77,543 68,099 51,620 67,741 94,804 66,410 79,448 73,448 44,319 86,757 60,644 58,151 54,634 78,891 47,896 98,388 80,793 92,543 63,410 75,100 50,972 60,936 91,207 84,375 80,002 63,941 74,232 56,985 46,910 89,548 76,023 62,168 82,712
listed below are the budgets in million of dollars and the gross receipts in millions of...
listed below are the budgets in million of dollars and the gross receipts in millions of dollars for randomly selected movies. budget x: 61, 92, 54, 37, 202, 105, 93 gross receipts: 64, 66, 52, 62, 543, 148, 51 a. find the value of the linear correlation coefficient r. b.find the p value for this hypothesis test for linear correlation. c. is there sufficient evidence to conclude yhqt there is a libeqr relatiibship between budgets and gross receipys? use level...
1. Perth International Co., an Australian multinational company, forecasts 69 million Australian dollars (A$) earnings next...
1. Perth International Co., an Australian multinational company, forecasts 69 million Australian dollars (A$) earnings next year (i.e., year-one). It expects 57 million Chinese yuan (CNY), 44 million Indian rupees (INR) and 36 million Malaysian ringgit (MYR) proceeds of its three subsidiaries in year-one. It also forecasts the year-one exchange rates A$0.3590/CNY, A$0.0383/INR and A$0.6234/MYR. Calculate the total Australian dollar (A$) cash flow for year-one. (enter the whole number with no sign or symbol) 2. Perth International anticipates a 5.98...
1. Perth International Co., an Australian multinational company, forecasts 66 million Australian dollars (A$) earnings next...
1. Perth International Co., an Australian multinational company, forecasts 66 million Australian dollars (A$) earnings next year (i.e., year-one). It expects 52 million Chinese yuan (CNY), 49 million Indian rupees (INR) and 35 million Malaysian ringgit (MYR) proceeds of its three subsidiaries in year-one. It also forecasts the year-one exchange rates A$0.3274/CNY, A$0.0441/INR and A$0.6657/MYR. Calculate the total Australian dollar (A$) cash flow for year-one. The answer for this question is $108485200 2. Perth International anticipates a 5.55 per cent...
1) Advance International Co., an Australian multinational company, forecasts 63 million Australian dollars (A$) earnings next...
1) Advance International Co., an Australian multinational company, forecasts 63 million Australian dollars (A$) earnings next year (i.e., year-one). It expects 57 million Chinese yuan (CNY), 47 million Indian rupees (INR) and 36 million Malaysian ringgit (MYR) proceeds of its three subsidiaries in year-one. It also forecasts the year-one exchange rates A$0.2140/CNY, A$0.0340/INR and A$0.6039/MYR. Calculate the total Australian dollar (A$) cash flow for year-one. (enter the whole number with no sign or symbol) 2) Advance International anticipates a 4.22...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT