Your investment advisor proposes a monthly income investment scheme which promises a variable income each month. You will invest in it only if you are assured an average monthly income of at least 670 dollars. Your advisor also tells you that, for the past 61 months, the scheme had incomes with an average value of 711 dollars and a standard deviation of 120 dollars. a) Create an 80% confidence interval for the average monthly income of this scheme. (Round your answers to 4 decimal places, if needed)

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Your investment advisor proposes a monthly income investment
scheme which promises a variable income each month. You will
invest in it only if you are assured an average monthly income of at
least 670 dollars. Your advisor also tells you that, for the past 61
months, the scheme had incomes with an average value of 711
dollars and a standard deviation of 120 dollars.
a) Create an 80% confidence interval for the average monthly
income of this scheme. (Round your answers to 4 decimal places,
if needed.)
b) Based on this confidence interval, should you invest in this
scheme?
Yes, since the interval is completely above 670.
O No, since the interval is completely above 670.
No, since the interval contains 670.
Yes, since the interval contains 670.
Transcribed Image Text:Your investment advisor proposes a monthly income investment scheme which promises a variable income each month. You will invest in it only if you are assured an average monthly income of at least 670 dollars. Your advisor also tells you that, for the past 61 months, the scheme had incomes with an average value of 711 dollars and a standard deviation of 120 dollars. a) Create an 80% confidence interval for the average monthly income of this scheme. (Round your answers to 4 decimal places, if needed.) b) Based on this confidence interval, should you invest in this scheme? Yes, since the interval is completely above 670. O No, since the interval is completely above 670. No, since the interval contains 670. Yes, since the interval contains 670.
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