10.1 Practice

10.1 Practice

11th - 12th Grade

6 Qs

quiz-placeholder

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10.1 Practice

10.1 Practice

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Medium

Created by

Krysten Martinez

Used 35+ times

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch.

State appropriate hypotheses for performing a test of the company’s claim.

(LT 10.1.1 #1)

H0: The distribution of type of nuts in this batch is the same as the claimed distribution.

Ha: The distribution of type of nuts in this batch is not the same as the claimed distribution.

H0: The distribution of type of nuts in this batch is not the same as the claimed distribution.

Ha: The distribution of type of nuts in this batch is the same as the claimed distribution.

H0: pcashews = 0.27, palmonds = 0.52, pmacadamia = 0.13, pbrazil = 0.08

Ha: At least 2 of the proportions are wrong.

H0: pcashews = 0.52, palmonds = 0.27

Ha: , pmacadamia = 0.13, pbrazil = 0.08

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Kellogg’s Froot Loops® cereal comes in 6 colors: orange, yellow, purple, red, blue, and green. Are these colors uniformly distributed? Charise poured out her morning bowl of cereal and methodically counted the number of cereal pieces of each color.

State appropriate hypotheses for testing if the proportion of each color of Froot Loops is the same.

(LT 10.1.1 #2)

H0: The colors of Kellogg’s Froot Loops are uniformly distributed.

Ha: The colors of Kellogg’s Froot Loops are not uniformly distributed.

H0: The colors of Kellogg’s Froot Loops are not uniformly distributed.

Ha: The colors of Kellogg’s Froot Loops are uniformly distributed.

H0: pblue = porange = pyellow = ppurple = pred = pgreen = 20

Ha: At least 2 of the proportions are different

H0: pblue = porange = pyellow = 0.20

Ha: ppurple = pred = pgreen = 0.20

3.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch.

H0: The distribution of type of nuts in this batch is the same as the claimed distribution.

Calculate the expected counts for a test of the null hypothesis stated. Select all the expected counts.

(LT 10.1.2 #1)

almond: 40.5

cashew: 83

macadamia: 19.5

brazil : 12

cashew: 78

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Kellogg’s Froot Loops® cereal comes in 6 colors: orange, yellow, purple, red, blue, and green. Are these colors uniformly distributed? Charise poured out her morning bowl of cereal and methodically counted the number of cereal pieces of each color.

H0: The colors of Kellogg’s Froot Loops are uniformly distributed.

Calculate the expected counts for a test of the null hypothesis stated.

(LT 10.1.2 #2)

The expected count for each color is 20.

orange = 28, yellow = 21, purple = 16, red = 25, blue = 14, green = 16

orange = 20, yellow = 20, purple = 10, red = 20, blue = 10, green = 10

You can't calculate it!

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A company claims that each batch of its deluxe mixed nuts contains 52% cashews, 27% almonds, 13% macadamia nuts, and 8% brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch.

Expected Count:

Cashew: 78, Almond: 40.5, Macadamia: 19.5, Brazil: 12

Calculate the value of the χ2 test statistic.

(LT 10.1.3 #1)

χ2 = 6.60

χ2 = 0.0858

χ2 = 3

χ2 = unknown

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Kellogg’s Froot Loops® cereal comes in 6 colors: orange, yellow, purple, red, blue, and green. Are these colors uniformly distributed? Charise poured out her morning bowl of cereal and methodically counted the number of cereal pieces of each color.

Expected Counts:

orange = 20, yellow = 20, purple = 20, red = 20, blue = 20, green = 20

Calculate the value of the χ2 test statistic.

(LT 10.1.3 #2)

χ2 = 7.9

χ2 = 0.1618

χ2 = 5

χ2 = 0.0953

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