Two samples of data, A and B, with the sample means x¯A=1 and x¯B=10, are taken from population with the population mean µ. The null hypothesis is that the population mean µ is equal to the value of x¯A. The alternative hypothesis is that the population mean µ is greater than the value of x¯A. Which of the samples (if any) provides evidence to refute the null hypothesis and support the alternative hypothesis.

Question

Mathematics

Israel Grimes

9 August, 23:58

Two samples of data, A and B, with the sample means x¯A=1 and x¯B=10, are taken from population with the population mean µ. The null hypothesis is that the population mean µ is equal to the value of x¯A. The alternative hypothesis is that the population mean µ is greater than the value of x¯A. Which of the samples (if any) provides evidence to refute the null hypothesis and support the alternative hypothesis.

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Answers (1)

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Eva Zhang · Answer 1

Sample A provides evidence to reject the null hypothesis and support the alternate hypothesis.

Step-by-step explanation:

Since the sample mean of A is taken from the population mean, it implies that the population mean would be greater than the sample mean of A which has a value of 1.

The statement that the population mean is greater than the sample mean of A is contained in the alternate hypothesis.

Therefore, the null hypothesis is rejected.