Part I Find the standard-normal curve area that lies a)To the right of 0.65 b) To...

Part I

Find the standard-normal curve area that lies a)To the right of 0.65 b) To the left of z = -2.13 c) between z = -0.34 and z = 0.62.

d) A tire store finds that the thread life of its tires is normally distributed, with a mean of 26,640 miles and a standard deviation of 4000 miles. The store sold 9000 tires this month. How many of them can be expected to last between 25,000 and 30,000 miles?

Part II 15

a)From a random sample of 36 business days , the average closing price of Apple Stock was $116.16 with a standard deviation of $10.27. Construct a 90% and 95% confidence interval. Which interval is wider?

b) Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean and σ=4.8.(population standard deviation)

Part III (Hypothesis testing )

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of twenty 12 ounce-bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed and the population standard deviation is 7.5 milligram. At α = .01, can you reject the company’s claim?

Identify the claim. State the null and alternative hypotheses
Identify the level of significance , the critical value and the direction of the test
Find the standardized test statistic z.
Construct the rejected region and decide whether to reject the Null Hypothesis.
Find the p-value
Interpret the result in the context of the original claim

Expert Solution

orchestra answered 2 years ago

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