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## The UR Nuts Company sells Deluxe and Premium nut mixes, both of which contain only cashews, brazil nuts, almonds, and peanuts. The Premium n

Question

The UR Nuts Company sells Deluxe and Premium nut mixes, both of which contain only cashews, brazil nuts, almonds, and peanuts. The Premium nuts are much more expensive than the Deluxe nuts. A consumer group suspects that the two nut mixes are really the same. To find out, the group took separate random samples of 20 pounds of each nut mix and recorded the weights of each type of nut in the sample. Here are the data:

Type of mix

Type of nut Premium Deluxe

Cashew 6lb 5lb

Brazil nut 3lb 4lb

Almond 5lb 6lb

Peanut 6lb 5lb

Required:

Explain why we can’t use a chi-square test to determine whether these two distributions differ significantly.

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Mathematics
3 years
2021-07-27T09:16:53+00:00
2021-07-27T09:16:53+00:00 1 Answers
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## Answers ( )

Answer:No the conditions for this test are not met, as 20% of the data has expected value less than 5. And 37.5% data is equal to 5.

Step-by-step explanation:The conditions for the chi square test independence are

1) the sample is a random sample

2) the variable under study is categorical

3) all expected value of the number of sample observations are greater or equal to 5.

A)The observations must be independent

B) for 2 categories the expected values must be at least 5

C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5

The observations given have equal chances of occurrences or are dependent on each other.

The sample collected has 20 % of data having expected values less than 5.

And 37.5% data is equal to 5.