State the null hypothesis, H_0, and the alternative hypothesis, H_a, that would

Question

State the null hypothesis, H_0, and the alternative hypothesis, H_a, that would be used for a hypothesis test for each of the following statements

The mean age of the youths who hang out at the mall is less than 16 years
The mean height of professional basketball players is greater than 6’6”
The mean elevation drop for ski trail at eastern ski centers it at least 285 feet
The mean diameter of the rivets is no more than 0.375 inches
The mean cholesterol level of male college students is different from 200 mg/dl

Explanation / Answer

The mean age of the youths who hang out at the mall is less than 16 years
Here given mean age is less than 16 years
So
Null hypothesis is H0 :µ=16 Alternative Hypothesis is Ha:µ<16 ---------------------------------------------------------------------------------- The mean height of professional basketball players is greater than 6’6”
here given height is greater than 6'6" so Null hypothesis is H0 :µ=6'6" Alternative Hypothesis is Ha:µ>6'6" ----------------------------------------------------------------------------------- The mean elevation drop for ski trail at eastern ski centers it at least 285 feet
Here note the word at least so Null hypothesis is H0 :µ=285 Alternative Hypothesis is Ha:µ<285 ------------------------------------------------------------------------------------ The mean diameter of the rivets is no more than 0.375 inches Here note the word no more than so Null hypothesis is H0 :µ=0.375 Alternative Hypothesis is Ha:µ>0.375 ----------------------------------------------------------------------------------------- The mean cholesterol level of male college students is different from 200 mg/dl
Here note the word different from so Null hypothesis is H0 :µ=200 Alternative Hypothesis is Ha:µ¹200 ----------------------------------------------------------------------------------- Null hypothesis is H0 :µ=285 Alternative Hypothesis is Ha:µ<285 ------------------------------------------------------------------------------------ The mean diameter of the rivets is no more than 0.375 inches Here note the word no more than so Null hypothesis is H0 :µ=0.375 Alternative Hypothesis is Ha:µ>0.375 ----------------------------------------------------------------------------------------- The mean cholesterol level of male college students is different from 200 mg/dl
Here note the word different from so Null hypothesis is H0 :µ=200 Alternative Hypothesis is Ha:µ¹200 ----------------------------------------------------------------------------------- so Null hypothesis is H0 :µ=0.375 Alternative Hypothesis is Ha:µ>0.375 ----------------------------------------------------------------------------------------- The mean cholesterol level of male college students is different from 200 mg/dl
Here note the word different from so Null hypothesis is H0 :µ=200 Alternative Hypothesis is Ha:µ¹200 ----------------------------------------------------------------------------------- Null hypothesis is H0 :µ=0.375 Alternative Hypothesis is Ha:µ>0.375 ----------------------------------------------------------------------------------------- The mean cholesterol level of male college students is different from 200 mg/dl
Here note the word different from so Null hypothesis is H0 :µ=200 Alternative Hypothesis is Ha:µ¹200 so Null hypothesis is H0 :µ=200 Alternative Hypothesis is Ha:µ¹200 Null hypothesis is H0 :µ=200 Alternative Hypothesis is Ha:µ¹200 -----------------------------------------------------------------------------------

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