Potassium helps the human body prevent muscle cramping. Researchers sampled 52 random professional wrestlers. The average potassium level was 3.8 millimoles per liter and the standard deviation was 1.4 millimoles per liter. Construct and interpret a 95% confidence interval to estimate the mean potassium level in the population. A. The 95% confidence interval is (3.7460, 3.8541). We are 95% confident that the true population mean potassium level for professional wrestlers will be between 3.7460 millimoles per liter and 3.8541 millimoles per liter. B. The 95% confidence interval is (3.4102, 4.1898). Ninety-five percent of all samples of this size will yield a confidence interval of (3.4102, 4.1898).
C. The 95% confidence interval is (3.4102, 4.1898). There is a 95% chance that a randomly selected wrestler is one of the wrestlers whose potassium level lies between 3.4102 millimoles per liter and 4.1898 millimoles per liter.
D. The 95% confidence interval is (3.4102, 4.1898). We are 95% confident that the true population mean potassium level for professional wrestlers will be between 3.4102 millimoles per liter and 4.1898 millimoles per liter.
E. The 95% confidence interval is (3.7460, 3.8541). Ninety-five percent of all the samples of this size will yield a confidence interval of (3.7460, 3.8541).

D. The 95% confidence interval is (3.4102, 4.1898). We are 95% confident that the true population mean potassium level for professional wrestlers will be between 3.4102 millimoles per liter and 4.1898 millimoles per liter.

Step-by-step explanation:

Hello!

The variable if interest is X: potassium level of a professional wrestler  (mmol/L)

A sample of n= 52 professional wrestlers was taken and a sample mean of X[bar]= 3.8 mmol/L and a sample standard deviation of S= 1.4 mmol/L

You have to estimate the population average potassium level using a 95% confidence interval. Assuming that the variable has a normal distribution, and since the population variance is unknown, I'll use a student t to construct the interval:

[X[bar] ± * ]

[3.8±2.008*]

[3.4102; 4.1898]

With a 95% confidence level you'd expect that the interval [3.4102; 4.1898]mmol/L will contain the average potassium level of professional wrestlers.

I hope this helps!

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

the answer is a

step-by-step explanation: