**Question:**Which conditions are necessary for a confidence interval based on this data to be valid?**Options:**- a. Both samples are random- b. Both samples are large- c. Both populations are normal- d. Both a. and c. but not b. A company was concerned about the length of time a particular vitamin they produce retained its potency. Potency was measured for a random sample of 10 bottles that had just been produced and also for a random sample of 10 bottles after 1 year in storage. The resulting data was used to calculate the summary statistics below.| | n | Mean | Standard Deviation ||---------------------------|----|------|--------------------|| Newly produced | 10 | 10.37| 0.32 || Stored for 1 year | 10 | 9.83 | 0.24 || Difference (New - Stored) | 10 | 0.54 | 0.43 |**Explanation:**- The table compares potency between newly produced vitamin bottles and those stored for one year.- Each group consisted of 10 samples.- Newly produced bottles had a mean potency of 10.37 with a standard deviation of 0.32.- Bottles stored for one year had a mean potency of 9.83 with a standard deviation of 0.24.- The mean difference in potency (New - Stored) is 0.54, with a standard deviation of 0.43.

A confidence interval gives a range of values for the unknown parameter of the population. The width…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ASK YOUR TEACHER Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 14 7 10 11 12 19 14 11 9 8 23 19 13 7 10 7 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H,: µ 11%; right-tailed O Ho: H + 11%; H,: u = 11%; two-tailed O Ho: H = 11%; H,: u + 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your…
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Which conditions are necessary for a confidence interval based on this data to be valid? Select one: а. Both samples are random b. Both samples are large С. Both populations are normal d. Both a. and c. but not b.