i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper confidence limit for ß, using part i)
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- a) Find right side tail for t = 2.447 and sample size 7 b) Find level of confidence interval for t = 2.447 and sample size 7 c) Find level of confidence interval for t = 1.725, sample size 21A consulting firm wants to study communication deficiencies in the health care industry. A random sample of 77 health care clinicians reveals the following: Time wasted in a day due to outdated communications technologies: X=54 minutes, S=9 minutes. Fifty-eight health care clinicians cite inefficiency of pagers as the reason for the wasted time. 1. Construct a 90% confidence interval estimate for the population mean time wasted in a day due to outdated communication technologies. 2. Construct a 95% confidence interval estimate for the population mean time wasted in a day due to inefficiency of pagers. 3. Construct a 99% confidence interval estimate for the population mean time wasted in a day due to inefficiency of pagers.Find the value of tn-1, a needed to construct a 95% upper or lower confidence bound with sample size 7. (Round the final answer to three decimal places.)
- A. Determine test statistic B. Determine critical value with k-1 degree of freedom then use the chi square to find the critical value for this part. C. Reject H0 or Fail H0.Assume that both populations are normally distributed. a) Test whether u >H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42- Sample 1 28 52.6 Sample 2 23 44.1 9.4 O A. Ho: H1 H2 O B. Ho: H1 = H2, H:Hq H2, HHy H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.05 s P-value <0.10 O D. 0.01 SP-value <0.05 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is V the level of significance. b) The confidence interval is the range from to (Round to twwo decimal places as needed. Use ascending orderp = proportion of graduates who get a jobA published article indicates that only 1 in 3 university graduates have a job waiting for them. In an investigation of 200 recent graduates of university A, it was found that 51 had a job. Can it be concluded, with a level of significance of 0.01, that from this university the proportion of graduates who have a job is lower? Choose 1. the correct conclusion2. the correct interpretationSelect one: a) 1. H0 is rejected2. It can be ensured, with 99% confidence, that less than a third of the graduates of said university get a job. b) 1. H0 is not rejected2. It can be ensured, with 99% confidence, that less than a third of the graduates of said university get a job. c) 1. H0 is not rejected2. There is not enough evidence to consider, with 99% confidence, that less than a third of the graduates of said university get a job. d) 1. H0 is rejected2. There is not enough evidence to consider, with 99% confidence, that less than a third of the graduates of…
- 7.) A sample of weights of 30 four-year-old boys had a standard deviaCon of 8.6 lbs. Can we claim that they have the same standard deviaCon as girls, which is 7.8 lbs? Test using ∝= 0.05 and a.) a hypothesis test b.) an appropriate confidence intervalEstimate the minimum sample size needed to achieve the margin of error E = 0.029 for a 95% confidence interval. The minimum sample size is an example (Round up to the nearest integer.)EXERCISE 1: a) Three measures, carried out with an alcoholmeter, to a men suspected of driving drunken, give: 0.54 - 0.52 - 55 g of alcohol per liter of blood. From these data, the police deduce that he surpasses the maximum limit allowed to drive (0.50 g/L) for a significance level of 0.05, while the driver considers that the result is not significantly different from the limit. Discuss the decision of the police and the argument of the driver, justifying the answer from the pertinent statistical tests. What is the probability of the police to be mistaken (i.e. the probability that the driver does not surpass the limit allowed)? b) To contrast the data, four blood tests of the driver are also done with the results: 0.51 - 0.54 - 0.51 - 52 g of alcohol per liter of blood. The driver argues that the obtained results demonstrate that the alcoholmeter gives values higher than those of the blood test. Is this affirmation statistically right for a=0.05? c) In order to demonstrate that the…
- Assume that both populations are normally distributed. a) Test whether u > H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42. 177 Sample 1 24 51.7 9.5 Sample 2 43.1 99 O A. Ho: H1 = H2, H:Hq>H2 O B. Ho: H1 = H2, HH1H2, H1: H1 H2 Determine the test statistic. %3D (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.01 s P-value <0.05 O D. 0.05 s P-value <0.10 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)An ecologist is measuring the presence of a particular chemical in a lake. Seven measurements were collected at different locations on the lake. The dataset is given in parts per million (ppm) for the chemical in question. The dataset in ppm: 2.5, 1.7, 3.6, 2.1, 4.5, 1.3, 1.1 Construct a 95% confidence upper bound on the true chemical concentration in the lake.Exercise 1: You are interested in determining the average number of social media accounts people have. You interview 30 people at random and the number of social media accounts they have has a sample mean of 7.1 and a sample standard deviation of 2.09. a) b) Define the parameter of interest. State and check if the assumptions needed for constructing the appropriate CI for the parameter of interest are satisfied. c) Find a 90% confidence interval for the parameter defined in part a). Use the table, not the calculator to find the appropriate critical value. d) Write a sentence to interpret the CI computed in part c).
