4. A researcher obtained the following results for an analysis using a suggested new procedure and a standard procedure: New Procedure 11.1 11.0 11.4 11.3 Standard Procedure 11.7 11.6 11.5 If the two procedures give comparable precisions, is there a significant statistical difference between the results of the two procedures at the 95% confidence level?? T 95% at 5 degrees of freedom = 2.57
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- 1.1 The trade union of Sekhukhune University wanted to know the average wage of all workers of the university before entering into salary negotiations for 2020. Suppose the wages of all employees are normally distributed. A random sample of 64 employees was selected and had an average of R22 700 per month with a standard deviation of R3 200 per month. Construct a 95% confidence interval for the population average and interpret the results. (5) 1.2 The revenues of a sample of 15 spaza shops were recorded for the period of March 2020. The calculated sample variance was R897. Construct the 99% confidence interval for the population variance. (5) 1.3 The Minister of Labour would like to know the proportion of employed people who qualify to receive COVID-19 Relief Fund in Mamelodi at a 90% confidence with an estimation error of ±0.98%. A preliminary survey of 100 conducted in Mamelodi revealed that 65% qualify for COVID-19 Relief Fund. What sample size would be required…Suppose that Randy is an analyst for the bicyling industry and wants to estimate the asking price of used entry-level road bikes advertised online in the southeastern part of the United States. He obtains a random sample of ?=10n=10 online advertisements of entry-level road bikes. He determines that the mean price for these 10 bikes is ?⎯⎯⎯=$659.87x¯=$659.87 and that the sample standard deviation is ?=$197.02s=$197.02. He uses this information to construct a 95% confidence interval for ?μ, the mean price of a used road bike. a) What is the lower limit of this confidence interval? Please give your answer to the nearest cent. b) What is the upper limit of this confidence interval? Please give your answer to the nearest cent.The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the 0.05 significance level. Treatment 1 Treatment 2 Treatment 3 3 9 6 2 6 3 5 5 5 1 6 5 3 8 5 1 5 4 4 1 7 5 6 4 If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95% level of confidence. (Round your answers to 3 decimal places.) 95% confidence interval is: to We can conclude that the treatments 2 and 3 are different.
- Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n1=50 n1=30 xbar1=13.6 xbar=11.1 pop mean 2.1 pop mean=3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90 confidence interval for the difference between the two population means (to 2 decimals).( , ) Provide a 95 confidence interval for the difference between the two population means (to 2 decimals).( , )1. Consider the following results for two samples randomly taken for two populations sample A. Sample B Sample sizes 28 30 sample mean. 24 22 Sample standard deviation 8 6 a. develop a 95% confidence interval for the difference between two population means b. Is there conclusive evidence that one population has a larger mean?question #2 2. A recent survey showed that from a sample of 500 packages delivered by a Postal Service,480 were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98 percent.
- Suppose that 5000 students who have taken the SAT exam once are randomly assigned to either take an SAT coaching course or not, with the following results in their improvements in SAT scores when they take the exam a second time: Coaching Group Control Group Sample Sample Size Sample Mean Standard Deviation 2500 2500 46.2 44.4 12.3 5.5 Create and interpret a 90% confidence interval for the parameter of interest.Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n2= 200 p1= 0.46 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. toConsider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 1 = 50 n 2 = 30 x 1 = 13.5 x 2 = 11.6 σ 1 = 2.5 σ 2 = 3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.( , ) Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. If your answer is negative, enter minus (-) sign.( , )
- Suppose that Randy is an analyst for the bicyling industry and wants to estimate the asking price of used entry-level road bikes advertised online in the southeastern part of the United States. He obtains a random sample of ?=13n=13 online advertisements of entry-level road bikes. He determines that the mean price for these 13 bikes is ?=$681.87 and that the sample standard deviation is ?=$177.45. He uses this information to construct a 99% confidence interval for ?, the mean price of a used road bike. What is the lower limit of this confidence interval? Please give your answer to the nearest cent.A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Develop a 95% confidence Interval Estimate for the difference between the two population means.Tensile strength tests were carried out on two different grades of wire rod resulting in the accompanying data: Grade Sample Size Sample Mean (kg/mm2) Sample Standard Deviation 1064 31 108 1.3 1078 31 124 1.6 Estimate the difference between true average strengths for the two grades with a 95% confidence interval for the previous problem. Group of answer choices (-16.352, -15.648) (-16.607, -15.393) (-16.952, -15.048) (-16.741, -15.260)