Provide the null and alternative hypotheses as well as the c

Provide the null and alternative hypotheses as well as the calculated test statistic for the hypothesis test suggested. Some scenarios may involve multiple tests

Solution

The sample given is for the difference in sweets

Sample size =10

2.0, 0.4, 0.7, 2.0, 2.2, -0.4, -1.3, 1.2, 1.1, and 2.3.

Let us find sample mean and variance.

Sample mean = 1.02

std dev = 1.135

Set up null and alternate hypothesis as

H0: mu =0

Ha: mu >0

One tailed mean test where mu is the mean for difference in sweetness.

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t statistic = 2.697

p value =0.0123

As p value < 0.05, our alpha reject null hypothesis.

Accept alternate hypothesis

These sample data values provide strong evidence that cola lost sweetness.