Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. a = 0.05 for a left-tailed test. O -1.645 O 1.96 O -1.96 O 1.645
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- Decide whether to reject or fail to reject the null hypothesis. Z (right - tailed test), a = 0.05 Zcomputed = 1.42Q17 An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that o=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation . The required sample size is ___ ( round up to the nearest interger ) Would it be reasonable to sample this number of students? a. No, this number of IQ test scores is a fairly large number b. Yes, this number of IQ test scores is a fairly small number . c. No , this number of IQ test scores is a fairly small number . d. Yes , this number of IQ test score is a fairly large number6
- K A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. e this 2 Z a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? OA Ho: Hy #₂ H₂: Hy H₂ F2 淋 X command дв 3 80 F3 E D с $ 4 R F % 5 V T G 6 B MacBook Air Y H & 7 N F7 U J * 8 M OB. Ho: ₁2₂ H₁: Hy t : - ; H n X S option Clear all F11 { [ Men H₁ 11 97.64°F 0.77 F ? 1 + = 11 I Check answer 4) F12 Women H₂ 59 97.45°F 0.63°F } ] delete ▼ return shift drewH2 Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 23 23 0.51 0.41 0.67 1.48 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O B. Ho: H1 H2 O A. Ho: H1 =H2 H: H1> H2 H1: H1 O (Round to three decimal places as needed.)A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…
- K A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal A. Ho H1 H2 H₁ H₁ H₂ ỌC. Hồ Hi-12 H₁: Hy > H₂ 0 в. Но 141=12 H₁ H₁ H₂ O D. Ho 11 #₂2 H₁ H1 H₂ The test statistic, t, is (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. Proctored Nonproctored H 144 n 34 CIXS 77.58 11.08 12 31 81.91 21.24 A. Reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. OB. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the…You are conducting a hypothesis test where the null hypothesis is that mu is greater than or equal to 98.6. Your test will be at the 0.05 significance level. You take a sample of 50 people (a large sample), and find that the sample average is 101, and the standard deviation is 2. What is/are the critical values for this test? Group of answer choices a 1.64 b -1.64 c -1.64 and 1.64 d -1.96Help
- = Assume that the probability of a being born with Genetic Condition B is p sample of 291 volunteers. 29/30. A study looks at a random Find the most likely number of the 291 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 291) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =Find the test statistic, t, to test the hypothesis that u, u,. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Round to three decimal places. n= 11 n2 = 18 X =6.7 X2 = 7.1 S1=0.76 S2 = 0.51 O A. - 1.546 B. -1.821 C. - 2.123 S D. -1.326 eting Click to select your answer. Type here to search hp 立A study was done on the body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.010.01significance level for both parts. Men Women μ μ1 μ2 n 11 59 x overbar 97.67°F 97.22°F s 0.77°F 0.66°F Test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? The test statistic, t, is __________ The P-value is __________ State the conclusion for the test. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women. __________ <μ1 − μ2 < __________ Does the confidence interval support the conclusion found with the hypothesis test? __________, because the…