The manufacturer of a certain voltmeter claims that 95% or more of its readings are within 0.1% of the true value. In a sample of 500 readings, 470 were within 0.1% of the true value. Is there enough evidence to reject the claim?
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4.
(a) The manufacturer of a certain voltmeter claims that 95% or more of its readings are within
0.1% of the true value. In a sample of 500 readings, 470 were within 0.1% of the true
value. Is there enough evidence to reject the claim?
(b) A manufacturer of computer workstations is testing a new automated assembly process.
The current process has a defect rate of 5%. In a sample of 400 worksations assembled by
the new process, 15 had defects. Can it be concluded that new process has a lower defect
rate?
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- Suppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood. (a) Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? to (b) If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense. The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?a) Genenesis Dispensary is contemplating of opening a new branch in Mwanza. If the medical for medical service is favourable, Genesis could realize a net profit of Tsh.100 million. On the other hand, if the market turn out to be unfavourable, it can end up losing Tsh. 40 million. Of course, Genesis may opt not to persue this option of expanding its operations. In the absence of data from which to base its decision, te best guess for Gensis is equally likely that the dispensary will either be successful or unsuccessful Required: i) Use the decison tree approach, what decison should Genesis Dispensary take b) Market research firm named, Easy Market Access approach Genesis with an offer to undertake a study of Mwanza medical service market at a fee of Tsh. 5 million. Easy Market Access claims that their experience enables them to use Bayes’ Theoremn to make the following statements about different state of the market: ▪ Provide that the study is favourable, the probability of favourable…
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- A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each oftwo random samples selected from the same population: sample R and sample S. Let R represent a random sampleof size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal tothe point estimate obtained from S, which of the following must be true about the respective margins of errorconstructed from those samples?(A) The margin of error for S will be 4 times the margin of error for R.(B) The margin of error for S will be 2 times the margin of error for R.(C) The margin of error for S will be equal to the margin of error for R.(D) The margin of error for R will be 4 times the margin of error for S.(E) The margin of error for R will be 2 times the margin of error for S.A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each of two random samples selected from the same population: sample R and sample S. Let R represent a random sample of size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal to the point estimate obtained from S, which of the following must be true about the respective margins of error constructed from those samples? (A) The margin of error for S will be 4 times the margin of error for R. (B) The margin of error for S will be 2 times the margin of error for R. (C) The margin of error for S will be equal to the margin of error for R. (D) The margin of error for R will be 4 times the margin of error for S. (E) The margin of error for R will be 2 times the margin of error for S.#5 A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 420 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.
- 1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.From a large number of actuarial exam scores, a random sample of 275 scores is selected, and it is found that 187 of these 275 are passing scores. Based on this sample, find a 90% confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the 90% confidence interval.A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1,000 adults showed 410 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 1,200 adults showed 420 indicating that their financial security was more than fair. (a) State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. (Let p1 = population proportion most recently saying financial security more than fair and p2 = population proportion from the year before saying financial security more than fair. Enter != for ≠ as needed.) H0: p1−p2=0 Ha: p1−p2!=0 (b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion? Find the value of the test statistic. (Use p1 − p2. Round your answer to two decimal places.) Find the p-value.…