## to carry out a hypothesis test

:  12. The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a variance of 0.0016 . The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0016 . Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries’ claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.H0 :  H1 :

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## ComputeStandard error

8. Do pregnant women give birth the week of their due date? A study claims that 12% of the population of all pregnant women actually gave birth the week of their due date. You are a researcher who wants to test this claim, so you will select a random sample of 60 women who have recently given birth.Follow the steps below to construct a 95% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date. Then state whether the confidence interval you construct contradicts the study’s claim. (If necessary, consult a list of formulas.)(a)Click on “Take Sample” to see the results from the random sample.  Take SampleNumberProportionGave birth the week of due dateDid not give birth the week of due dateEnter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select “Compute”.Critical values=z0.0052.576=z0.0102.326=z0.0251.960=z0.0501.645=z0.1001.282Sample size: Point estimate: Critical value: ComputeStandard error: Margin of error: 95% confidence interval:     (b)Based on your sample, graph the 95% confidence interval for the population proportion of all pregnant women who gave birth the week of their due date.

• Enter the values for the lower and upper limits on the graph to show your confidence interval.
• For the point (), enter the claim 0.12 from the study.

95% confidence interval:01    (c)Does the 95% confidence interval you constructed contradict the claim from the study? Choose the best answer from the choices below. No, the confidence interval does not contradict the claim. The proportion 0.12 from the study is inside the 95% confidence interval. No, the confidence interval does not contradict the claim. The proportion 0.12 from the study is outside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The proportion 0.12 from the study is inside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The proportion 0.12 from the study is outside the 95% confidence interval.

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## IQ scores

4. A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 53% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100.Answer the following. (If necessary, consult a list of formulas.)(a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people.(b)Find the standard deviation of p.(c)Compute an approximation for Pp0.53, which is the probability that there will be 53% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.  5.

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## Research information about Mozart’s life

5. Research – Research information about Mozart’s life.  (at least 350 words)  Include the following:

1. Provide a brief biography of Mozart.

2. Name two things portrayed in the movie that are true.

3. Name two things portrayed in the movie that are not true (or a distortion of the truth.)

Be sure to include FULL citations of your research.  DO NOT copy information. Put the research information in your own words or you will not receive credit for this section.

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## block Mozart’s success.

1. Why did Salieri not like Mozart? Name two things that Salieri did to try to block Mozart’s success.

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## sculpture and drawing

How do these practices compare with “traditional” media, such as painting, sculpture, and drawing? Answer in 2-3 finished sentenced. Worth 8 points.

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## the information from your sources

2. Describe the historical context for each of your works based on information from your sources. In other words, situate each of your works in the time period and setting in which they were created.

Make sure you are basing your response on the information from your sources and not just using your own opinions.

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## work of architecture

Chapter 10: Select one work of architecture or sculpture from the chapter. Describe how either Buddhist or Hindu ideas are expressed through their decoration, form or iconography. Locate a second artwork, not in the textbook, that also uses these expressions and explain. Cite your source.

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## risk tolerance

Describe in depth the role in which organizational risk tolerance plays in relation to systems under assessment.

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## a photograph of sandpaper

4. You run your fingers over a photograph of sandpaper. Is the photograph physical or visual texture of sandpaper? [2 pt]

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