Astudy considers if the mean score on a college entrance exam for students in 2005 is any different from the mean score of 501 for students who took the same exam in 1975. let μ represent the mean score for all students who took the exam in 2005. for a random sample of 40,000 students who took the exam in 2005, x = 499 and s = 100.(a) find the test statistic.(b) find the p-value for testing h0: μ = 501 against ha: μ ≠ 501.a. 0.6b. 0.03456c. 0.06845d. 0.14282(c) explain why the test result is statistically significant but not practically significant. a. this result is statistically significant because the p-value is very small, but it is not practically significant because the null hypothesis mean of 501 is not equal to the sample mean of 499.b. this result is statistically significant because the p-value is not very small, but it is not practically significant because the sample mean of 499 is very close to the null hypothesis mean of 501.c. this result is statistically significant because the p-value is very small, but it is not practically significant because the sample mean of 499 is very close to the null hypothesis mean of 501.

Simplify the expression 10/11(22z) + (a+5) -1

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.