III. Nuprino, a new allergy medicine, claims people who take Nuprino have allergy relief in an average of 15 minutes or less. To verify this claim, we question 25 Nuprino users and find their average time to reduce allergies is 21 minutes with a standard deviation of 8 minutes. Using a 1% level of significance, can we accept Nuprino's claim?

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Do the following:
1)State the null and alternate hypothesis.
2)Draw a picture of regions of rejection and non-rejection, and find critical value.
3)Calculate a test statistic.
4)Make a decision whether or not to reject thenull hypothesis.

III.
Nuprino, a new allergy medicine, claims people who take Nuprino have allergy relief
in an average of 15 minutes or less. To verify this claim, we question 25 Nuprino
users and find their average time to reduce allergies is 21 minutes with a standard
deviation of 8 minutes. Using a 1% level of significance, can we accept Nuprino's
claim?
IV.
MetLife claims the average cost of their annuity Life Insurance program is
S850/month with a standard deviation of S300/month. We survey 120 MetLife
customers and find an average monthly cost of S881/month. At a 5% level of
significance, can we accept MetLife's claim?
V.
According to the US Dept of Transportation, 70% of car accidents occur within 25
miles of a driver's home, 20% occur in distances between 25 and 50 miles, and 10%
of car accidents occur in distances greater than 50 miles from their home.
We examine traffic data in NYC and compare the location of the accidents to driver's
home zip codes to count the number of accidents seen in each range.
Distance From Home Less Than 25mi Between 25 and 50 mi Greater than 50mi
of Accidents
155
41
12
Using a 10% level of significance, does our observed data match the distribution
given by the Department of Transportation?
VI.
The online game "War Heroes" claims loot drops (in-game items used by certain
classes) are the same for each class in the game. A group of players counts the
number of drops for each class they obtained and records the data below.
Class
# of drops
Warrior
Cleric
Mage
114
Hunter
160
125
130
Using a 5% level of significance, does the data collected detemine if item drops for
each class are the same or not?
VIL
Copy the following and sign your name:
"I did not receive help from others nor share my exam with other students."
Transcribed Image Text:III. Nuprino, a new allergy medicine, claims people who take Nuprino have allergy relief in an average of 15 minutes or less. To verify this claim, we question 25 Nuprino users and find their average time to reduce allergies is 21 minutes with a standard deviation of 8 minutes. Using a 1% level of significance, can we accept Nuprino's claim? IV. MetLife claims the average cost of their annuity Life Insurance program is S850/month with a standard deviation of S300/month. We survey 120 MetLife customers and find an average monthly cost of S881/month. At a 5% level of significance, can we accept MetLife's claim? V. According to the US Dept of Transportation, 70% of car accidents occur within 25 miles of a driver's home, 20% occur in distances between 25 and 50 miles, and 10% of car accidents occur in distances greater than 50 miles from their home. We examine traffic data in NYC and compare the location of the accidents to driver's home zip codes to count the number of accidents seen in each range. Distance From Home Less Than 25mi Between 25 and 50 mi Greater than 50mi of Accidents 155 41 12 Using a 10% level of significance, does our observed data match the distribution given by the Department of Transportation? VI. The online game "War Heroes" claims loot drops (in-game items used by certain classes) are the same for each class in the game. A group of players counts the number of drops for each class they obtained and records the data below. Class # of drops Warrior Cleric Mage 114 Hunter 160 125 130 Using a 5% level of significance, does the data collected detemine if item drops for each class are the same or not? VIL Copy the following and sign your name: "I did not receive help from others nor share my exam with other students."
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