Question

# One of the most important factors in blood coagulation and clot formation in humans is a...

One of the most important factors in blood coagulation and clot formation in humans is a protein called prothrombin, which must be converted into the enzyme thrombin in order for coagulation to occur. A random sample was taken from a population with a vitamin K deficiency (typically a population that has a low prothrombin level) and the results are given below, measured in mgdL:

S={18.70,19.45,23.40,21.8,19.54,22.19,20.14,20.37,23.02,19.46,18.98}

It is known that the population standard deviation prothrombin levels of a population is about 10.98 mgdL.

a)What is a point estimate for the mean prothrombin level for the population of interest? Round to 2 decimal places (for this problem only, use exact value for all other calculations).

b)What is the appropriate critical value for an associated two-sided 92% confidence interval? Round to 2 decimal places. (Use this for other calculations)

c)What is the marginal error associated to a 92% confidence interval for this study? (Round to 2 decimal places)

d)

What is the 92% confidence interval for the population mean prothrombin levels for the population of interest? (least to greatest, round to 2 decimal places)

(   ,   )

e)For a 92% level of confidence, what is the level of statistical significance for any hypothesis test conducted with it? (Give answer as a decimal)

we have

 Confidence Interval Estimate for the Mean Data Population Standard Deviation 10.98 Sample Mean 20.64090909 Sample Size 11 Confidence Level 92% Intermediate Calculations Standard Error of the Mean 3.310594563 Z Value 1.75068607 Margin of Error 5.79581179 Confidence Interval Interval Lower Limit 14.8450973 Interval Upper Limit 26.43672088

a)the point estimate for the mean prothrombin level for the population of interest is 20.64

b)the appropriate critical value for an associated two-sided 92% confidence interval is 1.75

c) the marginal error associated to a 92% confidence interval for this study is 5.80

d)the 92% confidence interval for the population mean prothrombin levels for the population of interest

( 14.85 , 26.44 )

e) the level of statistical significance is 0.08

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