A sample of 32 observations is selected from a normal population. The sample mean is 66, and the population standard deviation is 5 Conduct the following test of hypothesis using the 0.10 significance level. H: -68 H:H68 a. Is this a one- or two-tailed test? o One-tailed test O Two-tailed test b. What is the decision rule? Reject Hg if-1.645 < z<1.645 OReject He if z<-1.645 or z> 1.645 c. What is the value of the test statistic? (Negatlve amount should be Incicated by a minus sign. Round your answer to 2 decimal places.) Value cf the test statistic d. What is vour decision regarding ? 1 of 10 Next Prev d. What is your decision regarding He? O Fail to reject Fe O Reject He 1. What is the pvalue? (Round your zvelue to 2 decimal places and final answer to 4 decimal places.) p-value -2. Interpret the p-value? (Round your zvalue to2 declmal pleces and final answer to 2 declmal pleces.) 85 chenoe of finding a 2 value this large by sampling error when HO is true. ihere is a Next 1 of 10 Piey here to search

Please show step-by-step solution and do not skip steps. Explain your entire process in great detail. Explain how you reached the answer you did.

Why is the sum of the square roots of positive numbers always greater than the square root of their sum, but the sum of two squared numbers always less than the square of the sum of those same two numbers?

3) Without graphing, determine the number of solutions for Sy-3x = 6 (3y - 9x = 18

Please show a step-by-step solution. Do not skip steps, and explain your steps. Write it on paper, preferably. Make sure the work is clear.

The problem is to find the right triangle of perimeter 10 whose area is as large as possible. What is the constraint equation relating the base b and height h of the triangle?

A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…

The homework problem asks for this to be plugged into the graphing calculator to solve for a approximate solutions for the equation, which i don't know how to do.