Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 32 workers at a large department store had a mean of 5.3. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher's claim at a=0.10? Assume that the variąble is normally distributed. Use the critical value method with tables.

What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y optimal time in hours. A random sample of divers gave the following data. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. Fail to reject the null hypothesis. There is…

Calculate the X² statistic then compare it with the critical value to determine if we will reject or fail to reject the null hypothesis that "There is no difference in the proportion of students that choose STEM, Social Sciences and Liberal Arts"

A poll shows 60% of voters support choice A out of 25 voters. Someone else claims the actual support is 50%. What is the critical value?

Match each Test Situation with the correct Critical Value. For a two-sided test, find only the positive value. Test Situation Two samples, 1 = 25.3, I2 H.: P1 - 2 po, and a 0.01 %3D Two samples, n = 28, Ha: µd > 0, and a 0.01 dv One sample, ni = - 35, п2 41, Ha: p1 – p2 0, and a = 0.01 %3D %3D One sample of x's and y's, n = 114, Ha: p < 0, and a = 0.001 One sample, o is known, n = 68, Ha:µ # Ho, and a = 0.05 One sample, o is unknown, n = 76, H. : µ < Ho, and a 0.05 Critical Value a. 1.960 b. -3.165 C. 2.473 d. 2.326 e. 2.576 f. -1.294 g. -1.665 h. 2.426

9.Life on Other Planets Forty-seven percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed   100 randomly selected individuals and found 40 believed that there is life on other planets. At α=0.01, is there sufficient evidence to conclude that the percentage differs from 47%? Use the critical value method with tables. a) Find the critical value(s).= b) Compute the test value. z=

p = proportion of students who abandon their studies due to lack of economic resources A sociologist assures that in his country more than 40% of the students who abandon their studies lack economic resources. He takes a sample of 70 student dropouts and finds that 35 of them lack financial resources. Can the sociologist, with a level of significance α = 0.05, consider that, among the dropout students, those who lack economic resources are a percentage greater than 40%? He calculates with 4 decimals Choose: 1. the correct conclusion2. the correct interpretation Select one: a) 1. H0 is not rejected2. There is not enough evidence to consider, with a confidence of 95%, that the percentage of those who lack economic resources among the students who abandon their studies is greater than 40%. b) 1. H0 is rejected2. There is not enough evidence to consider, with a confidence of 95%, that the percentage of those who lack economic resources among the students who abandon their studies is…

Solve A to C