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Sliva [168]
2 years ago
10

Coldstone Creamery has a variety of different ice-cream flavors that they offer, and they have a variety of different serving si

zes as well. An employee at Coldstone wanted to see if there was a relationship between a customers favorite flavor (vanilla, chocolate, or strawberry) and what serving size they ordered (small, medium, or large). He surveyed 100 customers and recorded both their favorite flavor and their preferred serving size. What are the appropriate null and alternative hypotheses?
Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

Answer:

H0 : flavor and serving size are independent

H1: Flavor and serving size are not independent

Step-by-step explanation:

The claim or hypothesis is to test if there is a relationship between the different types of flavor (vanilla, strawberry and chocolate) and the size (large, medium and. Small) being ordered. This is the the Alternative hypothesis, in other words to establish that flavor type and size are not independent, (that is the two variables are correlated).

The Null hypothesis will be the opposite of the alternative, establish that both variables are independent.

Hence ;

Null hypothesis ; H0 : flavor and serving size are independent

Alternative ; H1: Flavor and serving size are not independent

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6/36 = 1/6

6 favorable outcomes are:

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total of 36 outcomes are :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

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