[51(5) To determine whether a metal lathe that produces machine bearings is prop

Question

[51(5) To determine whether a metal lathe that produces machine bearings is properly adjusted, a sample of 36 bearings is collected and the diameter of each is measured., Assume the standard deviation of the diameter of the machine bearing is stable and equal to 0.002 inch. What is the probability that the mean diameter x of the sample will lie within 0.0002 inch of the process mean? [6105) A garden supplier claims that its new variety of giant tomato produces fruit with an mean weight of 45 ounces. A test is made of Hoa-45 versus 1h : yf 45. The null hypothesis is failed to be rejected. State the appropriate conclusion in your own words. 17(5) A sample of 50 chewable vitamin tablets have a sample mean of 262 milligrams of vitamin C with a sample standard deviation of 8.571 milligrams. Using a significance level of 0.02, nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per from 260 milligrams tablet is different (a) State the appropriate null and alternative hypotheses correctly, hypotheses. (b) Perform the test and state your conclusion in your own words. S6000 to invest, and his financial analyst recommends two types of junk bonds. The A bonds [8IC7) Jim Davis has have a 5% annual yield with a default rate of 1%. The B bonds have an 8% annual yield with a default rate of 5%. (If the bond defaults, the $6000 is lost). Which of the two bonds yields better statistically? Explain.

Explanation / Answer

5)(5)

Required probability = p [Z < 0.0002/0.002]

= p[Z < 0.1]

= 0.5398

6)(5)

Decision : Fail to reject H0

Conclusion : there is no sufficient evidence of the mean weight of tomato production has been changed

(As per Chegg guidelines, I Solved two questions instead of 4)

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