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Industrial Statistics with Minitab by Xavier Tort-Martorell Llabres, Lluis Marco Almagro, Pere Grima Cintas

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12.3 Almonds

A nut producing company decides to explore the possibility of launching a new range of light almond. For this study a new variety of almond is believed to contain less fat than the commonly used one. An analysis of the fat content of five samples of both varieties is done to confirm the hypothesis. The results are:
Unnumbered Table
Can we assure, with a significance level of 5%, that the new variety has less fat than the usual one?

This is a problem of comparison of means with independent samples. Go to Stat > Basic Statistics > 2-Sample t

Choose ‘greater than’ as alternative hypothesis. That is, either the fat content is the same in both varieties, or – if the null hypothesis is rejected – the usual variety contains more fat. The result is:

The p-value obtained is 0.045. Therefore, with a significance level of 5% it can be said that the new variety has less fat than the usual variety.

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