Central limit theorem-single sample hypothesis test

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Reference no: EM1399523

A spokesman for a popular television game show claims that contestants on the show win an average of $1200. In a random sample, 35 contestants were questioned on the amount of money they had won in order to test the hypothesis.

The null hypothesis or Ho: the population mean equals $1200,

The alternative Hypothesis or Ha: the population mean is not equal to $1200.

A. Suppose the mean win for the sample of 35 contestants turns out to be $1045. Assuming the null hypothesis is true, what is the probability of obtaining a sample mean value of $1045 or more? (Use 325 as the population standard deviation.)

B. Does a sample mean of $1045 provide evidence that the null hypothesis is false? Explain your answer.

Reference no: EM1399523

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