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1. Explain Type I and Type II errors. Use an example if needed. 2. Explain a one-tailed and two-tailed test. Use an example if needed. 3. Define the following terms in your own words.Null hypothesis: P-value: Critical value: Statistically significant: 4. A homeowner is getting carpet installed. The installer is charging her for 250 square feet. She thinks this is more than the actual space being carpeted. She asks a second installer to measure the space to confirm her doubt. Write the null hypothesis Ho and the alternative hypothesis Ha. 5. Drug A is the usual treatment for depression in graduate students. Pfizer has a new drug, Drug B, that it thinks may be more effective. You have been hired to design the test program. As part of your project briefing, you decide to explain the logic of statistical testing to the people who are going to be working for you. Write the research hypothesis and the null hypothesis.Then construct a table like the one below, displaying the outcomes that would constitute Type I and Type II error. Write a paragraph explaining which error would be more severe, and why. 6. Cough-a-Lot children's cough syrup is supposed to contain 6 ounces of medicine per bottle. However since the filling machine is not always precise, there can be variation from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces):5.956.105.986.016.255.855.916.055.885.91Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle?a. State the hypothesis you will test.b. Calculate the test statistic.c. Find the P-value.d. What is the conclusion?7. Calculate a Z score when X = 20, μ = 17, and σ = 3.4.
8. Using a standard normal probabilities table, interpret the results for the Z score in Problem 7.
9. Your babysitter claims that she is underpaid given the current market. Her hourly wage is $12 per hour. You do some research and discover that the average wage in your area is $14 per hour with a standard deviation of 1.9. Calculate the Z score and use the table to find the standard normal probability. Based on your findings, should you give her a raise? Explain your reasoning as to why or why not. 10. Tutor O-rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math portion of the SAT is μ = 350 and σ = 35. The 100 students who completed the tutoring program had an average score of 385 points. Is the average score of 385 points significant at the 5% level? Is it significant at the 1% level? Explain why or why not.
Give a 95% prediction interval for the mean low temperature volume next month if the high temperature is 50.
How long will it take before it is considered dangerous to live in this mountain valley - atmospheric pollutants in a certain mountain valley grown according to a natural growth model
question 1 partial derivatives and total differentials show your stepsfor f x y lnx2 y solve for its gradient vector
What is the probability that it snows 2 times in a 10 day period?
You will need the parameterization formula for a helix discussed in class. (2) Since you want ten turns of wire, it is convenient to let the range of parameter t be 0
Determine the mean, medium, mode and midrange of the set data - how many different ways can the figures be arranged
What differentiates a Z test statistic for a population from the z statistic for sampling of the mean? Why difference. Consider a normal population
What is wrong with this Function prototype: Function RetumString(ByRef strReturn as String)
Write the elements of matrix R in terms of real-numbers r1, r2,..............rN. Clearly, show at least the top 4 x 4 part and all the elements on the four corners.
If you were to change the confidence level to 95%, what would happen to the confidence interval?
explain why the typical hypothesis that analysts want to test is whether a particular regression coefficient (B) is equal to zero (H0: B = 0) versus whether that coefficient is not equal to zero (H1: B ≠ 0).
Evaluate function when f is U-U continuous.
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