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Canada found a mean thickness of 68 cm. A Colorado study had a random sample of...

  1. Canada found a mean thickness of 68 cm. A Colorado study had a random sample of 12 avalanches in spring, which gave a sample mean thickness of 64.5 cm with a standard deviation of 7.9 cm. Assume the slab thickness has a normal distribution and use an α= 10% level of significance to test the claim that the mean slab thickness in the Colorado region is less than Canada’s slab thickness. show work.

  1. State the null and alternate hypotheses for this test.

  1. Find the critical value and test statistic for this test. Show work.

  1. Using the test statistic and the traditional method make a decision about the null hypothesis. Explain.

  1. Summarize the final conclusion in the context to the problem.

please show complete work, thank you

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