Course: Res 342 Prof. Ren Quiones Date: 20110505_______ E-Test 1 (Hypothesis Test) Maximum Value (10 pts) I Solve showing the procedure in red.

Course: Res 342Prof. René Quiñones Date: 20110505_______E-Test 1 (Hypothesis Test) Maximum Value (10 pts)I Solve showing the procedure in red. 1.0 Write the null and alternative hypothesis for each of the following examples. Determine if each is a case of a two tailed, a left tailed or a right tailed test.a.To test whether or not the mean price of houses in Bayamon is greater than $143,000. Ho. u_< 143,000 H1. u>143,000(1 point.) (1 point)Because at 1% leve is not significance to reject, and 5% is.3. The monthly rent for a two bedroom apartment in a particular city is reported to average $550. Suppose we want to test Ho: u= 550 versus H1: u ≠ 550. A sample of 36 two bedrooms apartment is selected. The sample means turns out to be x= $562, with a sample standard deviation of s = $40. Conduct this hypothesis test with a .05 level of significance. (2 points.)4.0 Listed below are recorded speeds (in mi h) of randomly selected cars traveling on a section of Highway 405 in Los Angeles (based on data from Sigalert). That part of the highway has a posted speed limit of 65 mi h. Assume that the standard deviation of speeds is 5.7 mi h and use a 0.01 significance level to test the claim that the sample is froma population with a mean that is greater than 65 mi/h.66 71 68 7466 71 65 73597570 56 60 735875 Show the hypothesis testing procedure for credit. (2.5 points)Hypothesis test for proportion vs hypothesized valueObservedHypothesized01 p (as decimal)01 p (as fraction)065 X6565 n difference hypothesized difference0 std. error zHypothesis Test: Independent Groups (t-test, pooled variance)Group 1Group 23.38 4.63 mean0.92 1.30 std. dev.88n14 df-1.250 difference (Group 1 - Group 2)1.268 pooled variance1.126 pooled std. dev.0.563 standard error of difference0hypothesized difference-2.22 t.0217 p-value (one-tailed, lower)One factor ANOVA MeannStd. Dev 242.0 58.51 Group 1246.4 59.61 Group 2228.8 512.15 Group 3226.0 512.88 Group 4 235.8 2013.36 TotalANOVA table p-valueTreatment######3493.067 4.12.0241Error######16119.625 Total######19 Post hoc analysisp-values for pairwise t-testsGroup 4Group 3Group 1Group 2226.0 228.8 242.0 246.4 Group 4226.0 Group 3228.8 .6910 Group 1242.0 .0344.0745 Group 2246.4 .0094.0217.5337 Tukey simultaneous comparison t-values (d.f. = 16)Group 4Group 3Group 1Group 2226.0 228.8 242.0 246.4 Group 4226.0 Group 3228.8 0.40 Group 1242.0 2.31 1.91 Group 2246.4 2.95 2.54 0.64 critical values for experimentwise error rate:0.052.860.013.67One factor ANOVA MeannStd. Dev 2.834 70.5053 Group 13.024 70.1776 Group 23.241 70.3077 Group 33.371 70.2575 Group 4 3.118 280.3785 TotalANOVA table p-valueTreatment1.1812 30.39372 3.52.0304Error2.6867 240.11195 Total3.8679 27 Post hoc analysisp-values for pairwise t-testsGroup 1Group 2Group 3Group 42.834 3.024 3.241 3.371 Group 12.834 Group 23.024 .2986 Group 33.241 .0320.2365 Group 43.371 .0062.0641.4743 Tukey simultaneous comparison t-values (d.f. = 24)Group 1Group 2Group 3Group 42.834 3.024 3.241 3.371 Group 12.834 Group 23.024 1.06 Group 33.241 2.28 1.21 Group 43.371 3.00 1.94 0.73 critical values for experimentwise error rate:0.052.760.013.475.0 According to the National Education Association, 12% of school teachers have a second job to supplement their incomes (USA TODAY, July 7, 1992) . A random sample of 400 teachers taken this year showed that 19% of them hold a second job. Testing at 1% significance level, can you conclude that the current percentage of all teachers who hold a second job to supplement their incomes is higher than 12%. Show hypothesis testing procedure for credit. (2.5 points)I)Ho:#_< 0.12 H1:#>0.12II)Se rechaza Ho