A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 148 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month?
| Month | Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Fatal Accidents | 8 | 10 | 24 | 11 | 11 | 14 | 10 | 8 | 7 | 16 | 10 | 19 |
Step 1 of 10:
State the null and alternative hypothesis.
Step 2 of 10:
What does the null hypothesis indicate about the proportions of fatal accidents during each month?
Step 3 of 10:
State the null and alternative hypothesis in terms of the expected proportions for each category.
Step 4 of 10:
Find the expected value for the number of fatal accidents that occurred in January. Round your answer to two decimal places.
Step 5 of 10:
Find the expected value for the number of fatal accidents that occurred in November. Round your answer to two decimal places.
Step 6 of 10:
Find the value of the test statistic. Round your answer to three decimal places.
Step 7 of 10:
Find the degrees of freedom associated with the test statistic for this problem.
Step 8 of 10:
Find the critical value of the test at the 0.05 level of significance. Round your answer to three decimal places.
Step 9 of 10:
Make the decision to reject or fail to reject the null hypothesis at the 0.05 level of significance.
Step 10 of 10:
State the conclusion of the hypothesis test at the 0.05 level of significance.
In: Statistics and Probability
A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 158 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month?
Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Fatal Accidents 17 10 12 19 9 10 10 12 12 18 17 12
Step 1 of 10: State the null and alternative hypothesis. Step 2 of 10: What does the null hypothesis indicate about the proportions of fatal accidents during each month? Step 3 of 10: State the null and alternative hypothesis in terms of the expected proportions for each category. Step 4 of 10: Find the expected value for the number of fatal accidents that occurred in January. Round your answer to two decimal places. Step 5 of 10: Find the expected value for the number of fatal accidents that occurred in April. Round your answer to two decimal places. Step 6 of 10: Find the value of the test statistic. Round your answer to three decimal places. Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem. Step 8 of 10: Find the critical value of the test at the 0.1 level of significance. Round your answer to three decimal places. Step 9 of 10: Make the decision to reject or fail to reject the null hypothesis at the 0.1 level of significance. Step 10 of 10: State the conclusion of the hypothesis test at the 0.1 level of significance.
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Labor Costs and Productivity -
(A) Your Texas assembly line employees earn $20 per hour and they produce an average of 8 toaster ovens per hour. You are considering relocating your toaster over assembly facility just across the border to Mexico where wages are only $8 per hour. Transportation costs to your market would be the same. How many toaster ovens per hour would your foreign employees have to produce in order for this move to break even? (PLEASE INCLUDE FORMULAS USED TO SOLVE PROBLEM).
Transportation Costs and Taxes -
(B) Your corporation has all of its operations in California and faces a combined state and federal average corporate tax rate of 20 percent on your annual corporate earnings of $100 million. You could relocate to Nevada and eliminate your corporate state taxes (about half of your corporate tax liability) or you could relocate to Panama and eliminate all of your corporate taxes. The problem is, the vast majority of your market is in California and the transportation costs from Panama would be about $15 million per year. Additional transportation costs from Nevada would be about $1 million. Are you leaving California based on these numbers? (PLEASE INCLUDE FORMULAS USED TO SOLVE PROBLEM).
Exchange Rates -
(C) While traveling abroad in Japan, you notice that an Acura costs 1.2 million yen. Curious about what that would be in dollars, you check the exchange rate and see that its $0.011/yen. What would that Acura be worth in the U.S. if you could ship it home at no cost? (PLEASE INCLUDE FORMULAS USED TO SOLVE PROBLEM).
Labor Costs and Productivity -
(D) You are thinking about relocating your washing machine manufacturing facility from St. Louis, Missouri to Jakarta, Indonesia. Your U.S. workers earn $20 per hour and their average productivity is 10 washing machines per hour. You estimate that your workers in Indonesia would earn $3.90 per hour and will be able to produce 2 machines per hour. You typically sell about 300,000 machines per year. Your market is entirely in the U.S. and you don't think there will be a substantial market in Indonesia anytime in the foreseeable future. Should you move your facility? (PLEASE INCLUDE FORMULAS USED TO SOLVE PROBLEM).
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The three-month dollar interest rate in New York is 3.80% per annum. Alternatively, the three-month euro interest rate in Frankfort is 5.40% p.a. The current $/€ spot exchange rate is $1.1220/€. The euro three-month forward rate is quoted at $1.1210/€.
I need to know how to get those answer. Thank you! Show me in detail. You can skip part 5 if you want to.
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Another species of salamander, called a newt, exists along the coastal range of California. Newts have a terrestrial stage called an eft that has rough skin like the toads that you may be familiar with. When they are ready to breed they return to water where they sprout gills and breed. While on land the efts are quite vulnerable to predators, and have developed toxins for protection (toads secrete toxins too through their paratoid glands). Note that efts are bright orange.
4. Based on the information above and your knowledge of natural selection, explain why the Ensatina salamanders appear the way the do (both the coastal and more eastern populations). Be as specific as you can in applying the principles of natural selection.
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6. Assuming that the Ensatina complex expanded it range and radiated from only one of these populations of salamanders (traveling either north or south), which one would you predict was the original population and in which direction did they radiate? Explain your reasoning.
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