The management asks you to check whether products before shipping meet the minimum length stipulated by the customer (150 cm) with a 20% probability of error. After adjusting the machine anew, you select a sample of 120 metal strips, and find an average length of 150.1 cm with an empirical variance of S²_emp = 3² cm². The length of the metal strips follows a normal distribution for the total population:

(a) Using the example, formulate the statistical hypotheses so that the α mistake describes the worst mistake.

(b) Check whether under these conditions the assumption of a minimum length of 150 cm can be retained.

(c) Find the p-value from (b)!

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Perception of product quality Ranks Advertising Strategy N Circular 15 15 Newspaper ads Billboards Total 15 45 Mean Rank 38.00 10.10 df 20.90 Asymp. Sig. Fig. 9.48 Effect of three advertising strategies Chi-Square Test Statistics, b Perception of product quality 35.057 a. Kruskal Wallis Test b. Grouping Variable: Advertising Strategy 2 .000