The test statistic of z=−1.68 is obtained when testing the claim that p<0.88. a. Using a significance level of a=0.01, find the critical value(s). b. Should we reject H 0 or should we fail to reject H 0?
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- Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…The test statistic of z = - 1.73 is obtained when testing the claim that p = 1/2. a. Using a significance level of a = 0.05, find the critical value(s). b. Should we reject H, or should we fail to reject H,?
- Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro escA SSume that anxiety scores as measured by an anxiety assessment inventory are 2ormally distributed with u = 20 and o = 4. A sample of 4 patients who are undergoing treatment for anxiety is randomly selected, and their mean anxiety score X= 22. Is the average anxiety score from patients who are under treatment significantly different from 20? Assume a = .10.cn.studert.cme.examu.net Choose the correct answer for the following question: yp the hative bypothesis for a particular test is given by H, : p0.5. What is the P-value for this test if test statistic z = 2.50? Cive h Pr 2.50)-0.99338) 0.9018 tero17 1917 ce3 0.0124 %23 d. 0.0062 ce362dcfe17 Soscf917 ce302dcf017 2302dcf917 ce362dcf917 se32def917 ce362dc1917 76% MacBook Pro ce362dcf917 e362dcf917 11 00
- How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 75 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: X ̅= 63, S = 22. Suppose you are interested in determining whether there is evidence that the mean number of tissues used during a cold is less than 75. state the correct decision rule for α = 0.05.Q3. The correlation coefficient between age and the average SBP in the previous question is 0.993. Doesthis indicate that there is strong relationship between age and the average SBP? Use α = 0.05, and eitherrejection region or p-value to make a decision. Calculate by hand.A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 21. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 35. Previous studies show that ?2 = 17. Assume the pollution index is normally distributed in both Englewood and Denver. What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference ?1 − ?2. Round your answer to two decimal places.) (iii) Find (or estimate) the P-value. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for ?1 − ?2. (Round your answers to two decimal places.)
- Two universities give samples of students the same exam. School A records the follwoing sample statistics: ā1=73, 8,=5.5, ni =80. School B records the follwoing sample statistics: z=69, ,=4.4, n2 =90. We wish to build a 95 % cofidence interval to estimate the difference in means between these schools. Define your variable: O Let p be the proprotion School A students that were higher than School B. Let u the mean test score that School A was higher than School B. Let u be the mean test score. O Let u be the mean test score at School A. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. Select an answer and Select an answer What is the margin of error? Round your answer to one decimal place. Do these results suggest that School A might have higher means on this test? ? Do these results PROVE that School A might have higher means on this test? The campus president at School A made the following statement. "Our students score an average of 5 points…Q15. What is the decision at a .05 level of significance for each of the following tests? Hint: Find the critical value for each test, then make a decision. 15 [d] F(2, 12) = 3.81 What is the critical value? ________ What should the decision be? a. Reject H0 (the differences are significant) b. Retain H0 (the differences are not significant)A random sample of n1 = 16 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 14 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 17. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: ?1 < ?2; H1: ?1 = ?2H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 = ?2; H1: ?1 ≠ ?2H0: ?1 = ?2; H1: ?1 < ?2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population…