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Mathematics, 04.04.2020 02:42 Candi9697

A random sample of 100 observations from a quantitative population produced a sample mean of 28.7 and a sample standard deviation of 7.6. Use the p-value approach to determine whether the population mean is different from 30. Explain your conclusions. (Use α = 0.05.) State the null and alternative hypotheses. H0: μ = 30 versus Ha: μ < 30 H0: μ < 30 versus Ha: μ > 30 H0: μ ≠ 30 versus Ha: μ = 30 H0: μ = 30 versus Ha: μ > 30 H0: μ = 30 versus Ha: μ ≠ 30 Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) z = p-value = State your conclusion. The p-value is less than alpha, so H0 is rejected. There is sufficient evidence to indicate that the mean is different from 30. The p-value is greater than alpha, so H0 is not rejected. There is insufficient evidence to indicate that the mean is different from 30. The p-value is greater than alpha, so H0 is not rejected. There is sufficient evidence to indicate that the mean is different from 30. The p-value is less than alpha, so H0 is rejected. There is insufficient evidence to indicate that the mean is different from 30.

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