Determine the P-value for this hypothesis test. P-value E (Round to three decimal places as needed.) %3D

| 75°F Cloudy Hypothesis test for the population mean: t test A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 20 of this year's entering students and finds that their mean IQ score is 117, with standard deviation of 15. The college records indicate that the mean IQ score for entering students from previous years is 113. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that the mean IQ score, μ, of this year's class is greater than that of previous years? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ : μ = 113 H₁ :μ > 113 (b)…

Coming to School The time X it takes Mrs. Irvine to drive to work on a randomly selected day follows a distribution that is approximately Normal with mean 22 minutes and standard deviation 5.2 minutes (she is a Statistics teacher, after all): Once she parks in the back parking lot it takes her 4 more minutes to walk to her classroom. Let T = the total time it takes Mrs Irvine to reach her classroom on a randomly selected day, so T = X+4 Describe the shape, center, and variability of the probability distribution of T. Study habits Study habits are so important that Mrs. Irvine often considers implementing her own study at MNHS. Fortunately, the Survey of Study Habits and Attitudes is a psychological test that exists already. This test measures academic motivation and study habits_ The SSHA score F on a randomly selected female student at a large university has mean 120 and standard deviation 28, and the SSHA score M of a randomly selected male student at the university has mean 105 and…

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:p = 0.5 versus H,: p>0.5 n= 200; x = 120, a = 0.05 Use technology to find the P-value. P-value = (Round to three decimal places as needed.)