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In: Statistics and Probability

The specifications for a certain kind of ribbon call for a mean breaking strength of 185...

The specifications for a certain kind of ribbon call for a mean breaking strength of 185 pounds. Suppose five pieces are randomly selected from different rolls. The breaking strengths of these ribbons are 171.6, 191.8, 178.3, 184.9 and 189.1 pounds. You are required to perform an appropriate hypothesis test by formulating the null hypothesis µ = 185 against the alternative hypothesis test µ < 185 at α = 0.10.

(i) What is the critical region for the test?

(ii) What is the value of the observed test statistic?

(iii) Would you accept or reject the null hypothesis?

(iv) Find the p-value of the test. What conclusion do you draw from the p-value regarding the null hypothesis?

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orchestra answered 2 years ago
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