Mr. Smith is running a big family of 15 persons and very much concerned due to the high rate of household

| August 30, 2017

Question
Mr. Smith is running a big family of 15 persons and very much concerned due to the high rate of household expenses this month. He believes that average household expenses of the month are $ 3000 but the true mean is actually higher than this. He randomly selects 35 monthly expenses bills and calculates a sample mean of $ 3100 and the sample standard deviation of $ 200.

(a) State the null and alternative hypothesis both in words and mathematically.

(b) Calculate the test statistics value.

(c) State you conclusion regarding the test.

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