A sample of 60 people tastes a cup of coffee and rates the flavor in a scale from 1 to 100, with 100 being the best. We want to test to see if this coffee seems to be different from existing brand, which has an expected flavor score of 48. We observe a sample average of 51.3. The previous study on the existing brand found that a standard deviation of 8.11, which we can treat as the population parameter value.

Define the null and alternative hypotheses.

Question

Mathematics

Emiliano Cross

5 August, 15:16

A sample of 60 people tastes a cup of coffee and rates the flavor in a scale from 1 to 100, with 100 being the best. We want to test to see if this coffee seems to be different from existing brand, which has an expected flavor score of 48. We observe a sample average of 51.3. The previous study on the existing brand found that a standard deviation of 8.11, which we can treat as the population parameter value.

Define the null and alternative hypotheses.

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Answers (1)

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Craig Nichols · Answer 1

H0 : u=48

Ha : u≠48

Step-by-step explanation:

Given:

n = 60

X' = 51.3

Standard deviation, s. d = 8.11

u = 48

In null hypothesis, the experimenter or researcher aims to reject the hypothesis, it is denoted as H0.

The alternative hypothesis contradicts the null hypothesis, it shows that an effect will be observed. It is denoted as Ha or H1.

The null and alternative hypothesis will be:

For null hypothesis:

H0 : u=48

For alternative hypothesis:

Ha : u≠48