(a) Find a 99% confidence interval for the population mean blood plasma volume i
ID: 3060703 • Letter: #
Question
(a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit 34.61 upper limit 40.38 margin of error 2.88 (b) What conditions are necessary for your calculations? (Select all that apply.) O o is unknown o the distribution of weights is normal O the distribution of weights is uniform O o is known On is large (c) Interpret your results in the context of this problem. 99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99. 0 The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01. O 1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E= 2.40 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters Need Help? Read ItExplanation / Answer
Mean plasma level x = 37.5 ml/kg
Standard deviation = 7.40 ml/kg
Sample size n = 46
(A) 99% confidence interval = x +- Z0.01 / n
= 37.5 +- 2.576 * 7.4/46
Lower limit = 37.5 - 2.576 * 7.4/46 = 34.69
Upper Limit = 37.5 + 2.576 * 7.4/46 = 40.31
Maring of error = 40.31 - 37.50 = 2.81
(b) Here the condition that are necessary are Option B only.
(c) Here option A is correct as there are 99% of the intervals contain the true plasma volume in male firfighters
(d) Margin of Error E = 2.40
2.40 = Z0.01 / n
n = 2.576 * 7.40/2.40
n = 63.08
or say n = 63/64
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