Consider that a lamp manufacturer guarantees that the average lamp life is at least 750 hours. A random sample of 36 lamps has an average lifetime of 745 hours with a standard deviation of 60 hours. Considering α = 0.02, what decision making should be taken about the null hypothesis: We should: a) Reject the null hypothesis. b) Fail to Reject the Null Hypothesis.
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Consider that a lamp manufacturer guarantees that the average lamp life is at least 750 hours. A random sample of 36 lamps has an average lifetime of 745 hours with a standard deviation of 60 hours. Considering α = 0.02, what decision making should be taken about the null hypothesis:
We should:
a) Reject the null hypothesis.
b) Fail to Reject the Null Hypothesis.
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- Data was collected on the size of towns and the high school drop out rate. A left tailed hypothesis test was performed for r . If the p-value was 0.02 and a = 0.1, then it can be concluded that larger towns tend to have higher drop out rates. true falseTest the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. A manufacturer uses a new production method to produce steel rods. A random sample of 37 steel rods resulted in lengths with a mean a+1 and standard deviation of 4.7 cm. At the 0.10 significance level, test the claim that the new production method has mean 5.5 cm, which was the mean for the old method. a=2Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or Iμ placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. O A. Ho: H₁ = H2 H₁: H₁ H₂ C. Ho: M₁The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is measured from 25 sediment samples. The sample mean and the standard deviation of the measurements are found to be 0.38 and 0.06, respectively. Suppose Ho : u = 0.34 H1: u# 0.34 (a) State Type I and Type Il errors. (b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach. (please show all seven steps, formulas, calculations and the curve)Select the most appropriate response. It is claimed that the mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? Question 2 options: There is not sufficient evidence to reject the claim µ = 59.3. There is sufficient evidence to reject the claim p = 59.3. There is not sufficient evidence to support the claim p = 59.3. There is sufficient evidence to support the claim u = 59.3.The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H,1 that we would use for this test. Ho H: 0 OA two-tailed hypothesis test is being used to evaluate a treatment effect with α = .05. If the sample data produce a z-score of z = 1.65, then what is the correct decision? Select one: a. Fail to reject the null hypothesis and conclude that the treatment has no effect. b. Fail to reject the null hypothesis and conclude that the treatment has an effect. c. Reject the null hypothesis and conclude that the treatment has an effect. d. Reject the null hypothesis and conclude that the treatment has no effect.The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.04 . The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0 : __? H1 : __?Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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