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# Hypothesis testing A tire company claims that a new range on average lasts at least 28,000 km. Tests with 64 tires result in an

## Hypothesis testing A tire company claims that a new range on average lasts at least 28,000 km. Tests with 64 tires result in an average duration of 27,800 km. With a standard deviation of 1,000 km. Under normal tires, it is requested: A) Check if there is sufficient evidence to reject the company's claim, a significance level of 5% We wish to test with a significance level of 5% the hypothesis that the average height of men aged 18 or over in a country is equal to or greater than 175. Assuming that the standard deviation of sizes in the population is 4, Contrast this hypothesis against the alternative that it is lower, with a sample of n=15 men selected at random, whose heights are those of the previous section: In a survey applied to 1,600 Colombians, it was found that on average they watch 14.6 hours of television a week with a standard deviation of 5 hours. Estimate the variable with for a confidence level of 80%. A company that bottles yogurt has a machine programmed to fill 1180 ml bottles. However, due to natural variation and wear, the average volume per bottle can change at any time, which is why the following control system is implemented: Select a sample of 20 bottles, obtain the average volume and deviation from this information. standard, then stop production and check the machine if evidence is found in the sample that the average filling volume is less than 998 ml. With the data shown below, and with a significance level of 2%, what will be your decision?

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