PSYC 60-What is the difference between a Type I error
Question # 00423757
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Updated on: 11/15/2016 02:46 AM Due on: 11/15/2016
Psychology 60, Fall 2016 Name: ____________________________ Homework #6 ID#: ____________________________ Due in class Tuesday, November 15th
(All of the above information is required.)
1) [ 2 pts. ] What is the difference between a Type I error and a Type II error? Define both.
2) [ 2 pts. ] What are four factors that influence statistical power?
3) [ 1 pt. ] What should you be cautious about if you reject Ho with an extremely large sample size?
4) [ 6 pts. ] You are in charge of quality control for the company that produces the new, “super-healthy” sports
drink Iguana-aid. The three main ingredients in this drink are water (which is known to be important for good
health), high-fructose corn syrup, and Industrial Green Dye #3702 (which is guaranteed to be healthier than
Industrial Green Dye #3701 :-). If all the production machines in the factory are functioning properly, then the
amount of high-fructose corn syrup (HFCS) in the population of Iguana-aid bottles should have a mean of 345
mg. To ensure that there are no malfunctions, every month you collect and test a random sample of 30 bottles
of Iguana-aid. This month, the mean amount of HFCS in your sample is 320 mg, with a sample standard
deviation of 20. Conduct the appropriate hypothesis test, at = .05, to gain insight into whether the mean
amount of HFCS in this month’s batch of Iguana-aid is significantly different (in a purely statistical rather than
practical sense) from 345 mg. Provide the information indicated below:
a) Statistical Hypotheses
b) Decision Rule
v) Calculations
d) Decision
e) Interpretation
5) [ 7 pts. ] Suppose that local police are interested in determining whether the average speed of cars in a local
intersection exceeds the local speed limit of 40 mph. They measure the speed (in mph) of 10 randomly selected
cars passing through that intersection and collect the following data:
45, 59, 53, 50, 45, 49, 53, 38, 62, 73
Showing all necessary computations, conduct the appropriate hypothesis test, at = .05, to determine whether
the average speed of cars in this intersection exceeds 40 mph.
Provide the information indicated below:
a) Statistical Hypotheses
b) Decision Rule
c) Calculations
d) Decision
e) Interpretation
f) What must you assume when applying the test in this case?
(All of the above information is required.)
1) [ 2 pts. ] What is the difference between a Type I error and a Type II error? Define both.
2) [ 2 pts. ] What are four factors that influence statistical power?
3) [ 1 pt. ] What should you be cautious about if you reject Ho with an extremely large sample size?
4) [ 6 pts. ] You are in charge of quality control for the company that produces the new, “super-healthy” sports
drink Iguana-aid. The three main ingredients in this drink are water (which is known to be important for good
health), high-fructose corn syrup, and Industrial Green Dye #3702 (which is guaranteed to be healthier than
Industrial Green Dye #3701 :-). If all the production machines in the factory are functioning properly, then the
amount of high-fructose corn syrup (HFCS) in the population of Iguana-aid bottles should have a mean of 345
mg. To ensure that there are no malfunctions, every month you collect and test a random sample of 30 bottles
of Iguana-aid. This month, the mean amount of HFCS in your sample is 320 mg, with a sample standard
deviation of 20. Conduct the appropriate hypothesis test, at = .05, to gain insight into whether the mean
amount of HFCS in this month’s batch of Iguana-aid is significantly different (in a purely statistical rather than
practical sense) from 345 mg. Provide the information indicated below:
a) Statistical Hypotheses
b) Decision Rule
v) Calculations
d) Decision
e) Interpretation
5) [ 7 pts. ] Suppose that local police are interested in determining whether the average speed of cars in a local
intersection exceeds the local speed limit of 40 mph. They measure the speed (in mph) of 10 randomly selected
cars passing through that intersection and collect the following data:
45, 59, 53, 50, 45, 49, 53, 38, 62, 73
Showing all necessary computations, conduct the appropriate hypothesis test, at = .05, to determine whether
the average speed of cars in this intersection exceeds 40 mph.
Provide the information indicated below:
a) Statistical Hypotheses
b) Decision Rule
c) Calculations
d) Decision
e) Interpretation
f) What must you assume when applying the test in this case?
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Rating:
/5
Solution: PSYC 60-What is the difference between a Type I error