A control chart for the fraction nonconforming is to be established using a center line of 0.10 and four- sigma control limits. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.30 with probability 0.50? O None
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- Management at Deluxe Diner is in process of establishing a quality control system for the time it takes to initially make contact with a table of patrons. A sample of size 3 is taken on each of the five different days. Suppose you calculated = 100 and R = 40. What is the 3-sigma UCL for the X-bar chart?A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population was such that 20% were under 20 years old, 14% were in the 20- to 35-year-old bracket, 30% were between 36 and 50, 24% were between 51 and 65, and 12% were over 65. A study done this year used a random sample of 210 residents. This sample is given below. At the 0.01 level of significance, has the age distribution of the population of Blue Valley changed? Under 20 20 - 35 36 - 50 51 - 65 Over 65 29 26 65 66 24 Please answer using excel A) Find the sample test statistic. (Round your answer to two decimal places.) B) Find or estimate the P-value of the sample test statistic. C) Reject or Fail to Reject the Null HypothesisMeth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at their downtown Denton location to rate this new flavor. The rating is on a scale of 1 to 5, with 1 being 'not interested' and 5 being 'strongly interested'. Meth Barie's will approve the new flavor if the true mean rating is over 4.0. What is the rejection region for testing at the 0.1 level of significance?
- An I/O psychologist wants to know if there is a difference in worker evaluations depending if the evaluator is a male or female. 15 men and 15 women managers were asked to rate on a scale of 0-10 the same group of worker files. The ratings on the worker evaluations were recorded for each manager. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVAAll other conditions being equal, does a larger sample size increase or decrease the corresponding magnitude of the z or t value of the sample test statistic?In 2019 Chicago Hope Hospital hired new nurses from two top universities in the country. After one year, the hospital conducts a simple study to analyse whether there is a significant difference in regard to the performance of the nurses who graduated from the two universities. Considering the maximum performance score of 100, the following is the result of independent sampling of the nurses’ performance scores. Assume the scores are not normally distributed. Table attached Question: What statistical method can be applied for this study? Explain your answer
- A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population was such that 19% were under 20 years old, 14% were in the 20- to 35-year-old bracket, 33% were between 36 and 50, 23% were between 51 and 65, and 11% were over 65. A study done this year used a random sample of 210 residents. This sample is given below. At the 0.01 level of significance, has the age distribution of the population of Blue Valley changed?Under 20 20 - 35 36 - 50 51 - 65 Over 6529 27 67 65 22(i) Give the value of the level of significance. State the null and alternate hypotheses.H0: The population 10 years ago and the population today are independent.H1: The population 10 years ago and the population today are not independent.H0: The distributions for the population 10 years ago and the population today are the same.H1: The distributions for the population 10 years ago and the population today are different. H0: Time ten years ago and today are independent.H1: Time ten years…The average house has 13 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 12 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 12, 14, 14, 14, 15, 14, 14, 14, 12, 13, 15, 14 What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 13 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 13. The data…What is the critical value? What is the p value?