To test $$ \mathrm{H}_{0}: \mu=20 $$ versus $$ \mathrm{H}_{1}: \mu

Question

To test $$ \mathrm{H}_{0}: \mu=20 $$ versus $$ \mathrm{H}_{1}: \mu<20 $$, a simple random sample of size $$ n=16 $$ is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. A. $$ 0.20<\mathrm{P} $$-value $$ <0.25 $$ B. $$ 0.15<\mathrm{P} $$-value $$ <0.20 $$ C. $$ 0.05<\mathrm{P} $$-value $$ <0.10 $$ D. $$ 0.10<\mathrm{P} $$-value $$ <0.15 $$

Best Chadwick · Accepted Answer

To find the $$ P $$-value for the hypothesis test $$ H_0: \mu = 20 $$ versus $$ H_1: \mu < 20 $$ with a sample size of $$ n = 16 $$, calculate the t-statistic using the sample mean and standard deviation, then find the $$ P $$-value using the t-distribution table or calculator. Compare the $$ P $$-value to the given options to determine the correct range.

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