Chapter 11 Review 11th - 12th Grade Quiz

Chapter 11 Review

Assessment

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Mathematics

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11th - 12th Grade

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27 plays

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Easy

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14 questions

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Multiple Choice

15 mins

1 pt

From experience, the owner of an ice-cream shop has found that 60% of all sales of ice-cream cone are for one-scoop cones, 30% are for two-scoop cones, and the remaining 10% are for three-scoop cones. Recently, the shop added frozen-yogurt cones to its menu. A random sample of 250 frozen yogurt-cone sales revealed the following distribution:
Number of scoops Number of sales
one 154
two 84
three 12
The owner wishes to know whether the pattern of sales for frozen-yogurt cones differs from that of ice-cream cones. Which one of the following pairs of null and alternative hypotheses are appropriate for this test?

H0: The distribution of the variable “number of scoops” is the same for frozen yogurt cones as it is for ice cream cones.
Ha: The distribution of the variable “number of scoops” is different for frozen yogurt cones than it is for ice cream cones.

H0: The observed counts for “number of scoops” are the same as the expected counts.
Ha: At least one of the observed counts for “number of scoops” is different from the corresponding expected count.

H0: Ice-cream cone sales and frozen-yogurt cone sales are independent.
Ha: Ice-cream cone sales and frozen-yogurt cone sales are dependent.

Multiple Choice

15 mins

1 pt

From experience, the owner of an ice-cream shop has found that 60% of all sales of ice-cream cone are for one-scoop cones, 30% are for two-scoop cones, and the remaining 10% are for three-scoop cones. Recently, the shop added frozen-yogurt cones to its menu. A random sample of 250 frozen yogurt-cone sales revealed the following distribution:
Number of scoops Number of sales
one 154
two 84
three 12
The owner wishes to know whether the pattern of sales for frozen-yogurt cones differs from that of ice-cream cones. For a goodness-of-fit test based on the χ2 distribution, which of the following is the expected count for the cell corresponding to two scoops?

83.33

Multiple Choice

15 mins

1 pt

The owner of the ice-cream shop is interested in whether her current ice cream flavors differ in popularity. She has six flavors currently available (chocolate, vanilla, mint chip, coffee, strawberry, and choc chip). Which one of the following pairs of null and alternative hypotheses are appropriate for this test?

H0: The distribution of the variable “flavor of ice cream” is the same for frozen yogurt cones as it is for ice cream cones.
Ha: The distribution of the variable “flavor of ice cream” is different for frozen yogurt cones than it is for ice cream cones.

H0: The observed counts for “flavor of ice cream” are the same for all flavors.
Ha: At least one of the observed counts for “flavor of ice cream” is different from the corresponding expected count.

Ho: Flavor preferences for the population are evenly distributed across the six flavors.
Ha: a. Flavor preferences for the population are not evenly distributed across the six flavors.

Multiple Choice

15 mins

1 pt

From experience, the owner of an ice-cream shop has found that 60% of all sales of ice-cream cone are for one-scoop cones, 30% are for two-scoop cones, and the remaining 10% are for three-scoop cones. Recently, the shop added frozen-yogurt cones to its menu. A random sample of 250 frozen yogurt-cone sales revealed the following distribution:
Number of scoops Number of sales
one 154
two 84
three 12
The owner wishes to know whether or not the pattern of sales for frozen-yogurt cones differs from that of ice-cream cones and performs a χ2 goodness-of-fit test on the data. which of the following is the correct value of the χ2 statistic?

0.2855

7.947

15.141

Multiple Choice

15 mins

1 pt

A fast-talking salesman offers you a “random digits” smartphone app that comes with a “guarantee” of randomness. You don't trust him, so you insist on testing the app by generating a sample of 100 digits. Here are the resulting frequencies of the ten digits 0 through 9 in your sample of size 100:

Reject H0 at either the
α = 0.05 or α = 0.01

Reject H0 at α = 0.05 ; fail to reject H0 at α = 0.01

Fail to reject H0 at either the α = 0.05 or α = 0.01