For the scenario\'s below identify the correct hypothesis. 1.) A freshman at EKU

Question

For the scenario's below identify the correct hypothesis.

1.) A freshman at EKU is curious about the average number of years it take a student to graduate from EKU. Specifically she would like to know if the average number of years it takes a student to graduate is less than four and a half years. She surveys 50 recent graduates and calculates the average number of years to took the students to obtain a bachelors degree.

Answer:

a.) H0: p = 4.5

Ha: p > 4.5

b.) H0: p = 4.5

Ha: p < 4.5

c.) H0: mu = 4.5

Ha: mu < 4.5

d.) H0: mu = 4.5

Ha: mu > 4.5

2.) A consumer is concerned about the validity of product reviews on Amazon. He believes that more than 70% of the reviews may be motivated by people receiving the item for free. A random sample of 250 reviews are selected and the proportion of reviewers that receive the product for free in return for the product review is recorded.

a.) H0: p = 0.7

Ha: p < 0.7

b.) H0: p = 0.7

Ha: p > 0.7

c.) H0: mu = 0.7

Ha: mu > 0.7

d.) H0: mu= 0.7

Ha: mu < 0.7

3.) A bread production line must produce all of its loaves of bread to weigh 20 oz. A weight of less than 20 oz would result in customer complaints and more than 20 oz would result in loss of profit.  Seventy five loaves are randomly selected and tested to see if the average weight differs from 20oz.

a.) H0: mu = 20

Ha: mu > 20

b.) H0: mu = 20

Ha: mu = 20

c.) H0: x = 20

Ha: x = 20

d.) H0: x= 20

Ha: x > 20

Explanation / Answer

1. Ho mu = 4.5

Ha mu < 4.5 . Its a left tailed testest.

2. Ho : p = 0.7

Ha : p > 0.7 its a right tailed test.

3. Ho : mu = 20

Ha : mu =/ not equal to 20 . Its a two tailed test .

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