# Answer to Question #18898 in Statistics and Probability for ez_ryen

Question #18898

SAMPLING DISTRIBUTION AND HYPOTHESIS TESTING

A researcher wishes to determine whether the average amount of bleaching agent in a 1kg packet of brand X wheat flour exceeds that of brand Y. Fifteen 1kg packets of wheat flour for each brand were selected at random. It is found that on average, X contains 5% bleaching agent with a standard deviation of 0.3 and Y contains on average, 4% bleaching agent content with standard deviation of 0.5.

a) Obtain the point estimate of the mean difference of the bleaching agent content in a packet of 1kg wheat flour.

b) Determine the sampling distribution for the mean difference of the bleaching agent in a 1kg packet of wheat flour.

c) Formulate the appropriate null and alternative hypotheses to be tested.

d) Calculate the test statistics for the test.

e) Interpret your findings at 5% level of significance.

A researcher wishes to determine whether the average amount of bleaching agent in a 1kg packet of brand X wheat flour exceeds that of brand Y. Fifteen 1kg packets of wheat flour for each brand were selected at random. It is found that on average, X contains 5% bleaching agent with a standard deviation of 0.3 and Y contains on average, 4% bleaching agent content with standard deviation of 0.5.

a) Obtain the point estimate of the mean difference of the bleaching agent content in a packet of 1kg wheat flour.

b) Determine the sampling distribution for the mean difference of the bleaching agent in a 1kg packet of wheat flour.

c) Formulate the appropriate null and alternative hypotheses to be tested.

d) Calculate the test statistics for the test.

e) Interpret your findings at 5% level of significance.

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