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An astronomer is interested in measuring in light years, the distance from his observatory to a...
An astronomer is interested in measuring in light years, the distance from his observatory to a distant star. If the astronomer believes that the values of the measurements are independent and identically distributed random variables with common mean d (the actual distance) and a common variance of 4 (light years), how many measurements must he make to be 95% sure that his estimated distance is accurate to within + - 0.5 light years? (Note: for 95% confidence, Phi(Z) >=0.975, which...
An astronomer is interested in measuring in light years, the distance from his observatory to a distant star. If the astronomer believes that the values of the measurements are independent and identically distributed random variables with common mean d (the actual distance) and a common variance of 16 (light years), how many measurements must he make to be 95% sure that his estimated distance is accurate to within + - 1.0 light year? Note: for 95% confidence, Phi(Z) >= 0.975,...
An astronomer is interested in measuring in light years, the distance from his observatory to a distant star. If the astronomer believes that the values of the measurements are independent and identically distributed random variables with common mean d (the actual distance) and a common variance of 9 (light years), how many measurements must he make to be 99% sure that his estimated distance is accurate to within + 1.0 light year? (Note: for 95% confidence, Phi(Z) >-0.975, which means...
show the work plz An astronomer is interested in measuring in light years, the distance from his observatory to a distant star. If the astronomer believes that the values of the measurements are independent and identically distributed random variables with common mean d (the actual distance) and a common variance of 9 (light years), how many measurements must he make to be 99% sure that his estimated distance is accurate to within + - 1.0 light year? (Note: for 95%...