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Chapter 9: Q.71 (page 588)

Cola makers test new recipes for loss of sweetness during storage. Trained tasters rate the sweetness before and after storage From experience, the population distribution of sweetness losses will be close to Normal. Here are the sweetness losses (sweetness before storage minus sweetness after storage) found by tasters from a random sample of 10 batches of a new cola recipe:

2.0 0.4 0.7 2.0 0.4 2.2 1.3 1.2 1.1 2.3

Are these data good evidence that the cola lost sweetness? Carry out a test to help you answer this question.

Short Answer

Expert verified

These data are good evidence that the cola lost sweetness

Step by step solution

01

Introduction

The scientific strategy requires that one can test it. Scientists for the most part base scientific speculations on previous observations that can't satisfactorily be explained with the available scientific theories.

A random sample of 10 batches of a new cola recipe:

2.00.40.72.00.42.21.31.22.3

02

Explanation

The significance level is 0.05

Calculating the null and alternative hypotheses,

H0:渭=0Ha:渭>0

Using a calculator we find the p-value.

The p-value is less than the significance level and the null hypothesis is dismissed.

Hence these data are good evidence that the cola lost sweetness.

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