The mean labour productivity (output per worker per hour, in Rand) of a random sample of 26 textile manufacturers that export their products to foreign markets is R180.40 (with a standard deviation of 51.7). Likewise, the mean labour productivity of an independent random sample of 21 textile manufacturers that do not export their production is 159.30 (with a standard deviation of 42.9). Suppose that labour productivity is normally distributed for both types of manufacturing firms. A trade analyst claims that the mean labour productivity of exporting textile manufacturers is greater than the mean labour productivity of non-exporting textile manufacturers. Using this information and assuming that the population variances are EQUAL, the pooled variance associated with this information is . Formulating an appropriate hypothesis, the value of the test statistic that must be used to test the formulated hypothesis, rounded to 3 decimal places is . Testing at the 5% level, the critical value of this hypothesis, rounded to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0? . (Note: You must write your final answers to 3 decimal places. When writing your answers, use "." (e.g. 3.250) instead of "," (i.e. 3,250) with no spaces between digits)
QUESTION 17
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The mean labour productivity (output per worker per hour, in Rand) of a random sample of 26 textile manufacturers that export their products to foreign markets is R180.40 (with a standard deviation of 51.7). Likewise, the mean labour productivity of an independent random sample of 21 textile manufacturers that do not export their production is 159.30 (with a standard deviation of 42.9). Suppose that labour productivity is
normally distributed for both types of manufacturing firms. A trade analyst claims that the mean labour productivity of exporting textile manufacturers is greater than the mean labour productivity of non-exporting textile manufacturers. Using this information and assuming that the population variances are EQUAL, the pooled variance associated with this information is . Formulating an appropriate hypothesis, the value of the test statistic that must be used to test the formulated hypothesis, rounded to 3 decimal places is . Testing at the 5% level, the critical value of this hypothesis, rounded to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0? . (Note: You must write your final answers to 3 decimal places. When writing your answers, use "." (e.g. 3.250) instead of "," (i.e. 3,250) with no spaces between digits).
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