Statistics Review 3 (Topics 8 - 10)

The manager of a fast-food restaurant wants to reduce the proportion of drive-through customers who have to wait for more than 2 minutes to receive their food once their order is placed.  Based on store records, 43% of all customers wait more than 2 minutes to receive their food. To try and reduce customer wait time, the manager hires an additional employee to assist with drive-through orders.  After a month, the manager takes a random sample of 60 drive-through customers and finds that 23 of them have to wait more than 2 minutes to receive their food.

Parameter of Interest: The true population ________of drive-through customers who have to wait more than 2 minutes to receive their food.

• mean

• proportion

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

The manager of a fast-food restaurant wants to reduce the proportion of drive-through customers who have to wait for more than 2 minutes to receive their food once their order is placed. Based on store records, 43% of all customers wait more than 2 minutes to receive their food. To try and reduce customer wait time, the manager hires an additional employee to assist with drive-through orders. After a month, the manager takes a random sample of 60 drive-through customers and finds that 23 of them have to wait more than 2 minutes to receive their food.

p = probability of waiting more than 2 min. = _______

• 0.43

• 0.57

• 60

• 23

Tags

CCSS.HSS.IC.B.4

The manager of a fast-food restaurant wants to reduce the proportion of drive-through customers who have to wait for more than 2 minutes to receive their food once their order is placed. Based on store records, 43% of all customers wait more than 2 minutes to receive their food. To try and reduce customer wait time, the manager hires an additional employee to assist with drive-through orders. After a month, the manager takes a random sample of 60 drive-through customers and finds that 23 of them have to wait more than 2 minutes to receive their food.

q = probability of waiting less than 2 min. = _______

• 0.43

• 0.57

• 60

• 23

Tags

CCSS.HSS.IC.B.4

The manager of a fast-food restaurant wants to reduce the proportion of drive-through customers who have to wait for more than 2 minutes to receive their food once their order is placed. Based on store records, 43% of all customers wait more than 2 minutes to receive their food. To try and reduce customer wait time, the manager hires an additional employee to assist with drive-through orders. After a month, the manager takes a random sample of 60 drive-through customers and finds that 23 of them have to wait more than 2 minutes to receive their food.

n = sample size = _______

• 0.43

• 0.57

• 60

• 23

Tags

CCSS.6.SP.A.2

The manager of a fast-food restaurant wants to reduce the proportion of drive-through customers who have to wait for more than 2 minutes to receive their food once their order is placed. Based on store records, 43% of all customers wait more than 2 minutes to receive their food. To try and reduce customer wait time, the manager hires an additional employee to assist with drive-through orders. After a month, the manager takes a random sample of 60 drive-through customers and finds that 23 of them have to wait more than 2 minutes to receive their food.

p^ = sample proportion = _______

• 0.43

• 0.57

• 60

• 23

Tags

CCSS.HSS.IC.B.4

• Fail to reject the Null Hypothesis when the Alternative Hypothesis is true.

  Deciding that wait times have NOT been significantly reduced, when they actually have.

• Reject the Null Hypothesis when the Null Hypothesis is true.

  Deciding that drive-through wait times have been significantly reduced but they have not.

• Consequence: The restaurant continues to pay for an additional drive-through employee that they do not need.

• Consequence: The restaurant gets rid of the extra drive-through employee, so wait-times increase again.

• Fail to reject the Null Hypothesis when the Alternative Hypothesis is true.

  Deciding that wait times have NOT been significantly reduced, when they actually have.

• Reject the Null Hypothesis when the Null Hypothesis is true.

  Deciding that drive-through wait times have been significantly reduced but they have not.

• Consequence: The restaurant continues to pay for an additional drive-through employee that they do not need.

• Consequence: The restaurant gets rid of the extra drive-through employee, so wait-times increase again.

• Independent

• Normal

• 10

• 30

• Binomial