In a hypothesis test with hypotheses Ho : µ = 24 and H1 : µ # 24, a random sample of 38 elements selected from the population produced a mean of 26.0. Assume that o = 4.4, and that the test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?
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- In a hypothesis test with hypotheses Ho: μ ≤ 54 and H1: μ > 54, a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the p-value for this hypothesis test, rounded to three decimal places?The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?From a sample of 14 observations, an analyst calculates a t-statistic to test a hypothesis that the population mean is equal to zero. If the analyst chooses a 5% significance level, the appropriate critical value is: A. less than 1.80. B. greater than 2.16. C. between 1.80 and 2.16.
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