You are given information related to a hypothesis test. Write the null and alternative hypotheses and the most appropriate equation to use to conduct the test (you do not need to calculate it's value), and indicate which requirements for using it have or have not been met. A) In Castaway, Tom Hanks is stranded on an island with his volleyball friend, Wilson. AVP regulations state that a volleyball must be inflated to between 4.26 and 4.61 psi. A random sample of 64 volleyballs from the New England Volleyball Association (NEVA) were inflated to an average of 4.17 psi with a standard deviation of 0.29 psi. Test the claim that the standard deviation in the psi of the volleyballs used by NEVA is 0.33 psi. H.: T = H:

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You are given information related to a hypothesis test. Write the null and
alternative hypotheses and the most appropriate equation to use to conduct the test
(you do not need to calculate it's value), and indicate which requirements for using it
have or have not been met.
A) In Castaway, Tom Hanks is stranded on an island with his volleyball friend, Wilson.
AVP regulations state that a volleyball must be inflated to between 4.26 and 4.61 psi. A
random sample of 64 volleyballs from the New England Volleyball Association (NEVA)
were inflated to an average of 4.17 psi with a standard deviation of 0.29 psi. Test the
claim that the standard deviation in the psi of the volleyballs used by NEVA is 0.33 psi.
H:
T =
H :
The equation CAN be used because the following condition(s) have been met:
The equation CANNOT be used because the following condition(s) have not been met:
B) A wildlife biologist studying jaguars in the jungles of the Amazon collects data from
134 jaguars she was able to tranquilize, weigh, and count their spots. She found that
the average weight of these 134 big cats was 157 pounds with a standard deviation of 41
pounds. She also noted that 12 of the jaguars were all black, which are also known as
black panthers. Can you say that less than 10% of Amazonian jaguars are black?
T =
H :
The equation CAN be used because the following condition(s) have been met:
The equation CANNOT be used because the following condition(s) have not been met:
C) A random sample of 68 households that have at least one pet dog found that those
households averaged 1.74 dogs each with a standard deviation of 0.29 dogs. Does this
prove at the 0.05 significance level that for households with at least one dog, they
average more than 1.6 dogs per household?
T =
H :
The equation CAN be used because the following condition(s) have been met:
The equation CANNOT be used because the following condition(s) have not been met:
Transcribed Image Text:You are given information related to a hypothesis test. Write the null and alternative hypotheses and the most appropriate equation to use to conduct the test (you do not need to calculate it's value), and indicate which requirements for using it have or have not been met. A) In Castaway, Tom Hanks is stranded on an island with his volleyball friend, Wilson. AVP regulations state that a volleyball must be inflated to between 4.26 and 4.61 psi. A random sample of 64 volleyballs from the New England Volleyball Association (NEVA) were inflated to an average of 4.17 psi with a standard deviation of 0.29 psi. Test the claim that the standard deviation in the psi of the volleyballs used by NEVA is 0.33 psi. H: T = H : The equation CAN be used because the following condition(s) have been met: The equation CANNOT be used because the following condition(s) have not been met: B) A wildlife biologist studying jaguars in the jungles of the Amazon collects data from 134 jaguars she was able to tranquilize, weigh, and count their spots. She found that the average weight of these 134 big cats was 157 pounds with a standard deviation of 41 pounds. She also noted that 12 of the jaguars were all black, which are also known as black panthers. Can you say that less than 10% of Amazonian jaguars are black? T = H : The equation CAN be used because the following condition(s) have been met: The equation CANNOT be used because the following condition(s) have not been met: C) A random sample of 68 households that have at least one pet dog found that those households averaged 1.74 dogs each with a standard deviation of 0.29 dogs. Does this prove at the 0.05 significance level that for households with at least one dog, they average more than 1.6 dogs per household? T = H : The equation CAN be used because the following condition(s) have been met: The equation CANNOT be used because the following condition(s) have not been met:
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