Show development for the solution Find the confidence level for the following critical values (using the Z table): a) z = 1.28 b) z = -1.44
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Show development for the solution
Find the confidence level for the following critical values (using the Z table):
a) z = 1.28
b) z = -1.44
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- Let μ denote some population mean of interest and suppose a 95% confidence interval for μ is calculated to be (0.63, 0.73) and a 99% confidence interval for μ is calculated to be (0.61,0.75). Also, suppose that we want to test H0: μ = 0.77 vs. Ha: μ ≠ 0.77 What can you say about the corresponding p-value? Choose from following letters. a. The corresponding p-value will be smaller than 0.05 but larger than 0.01. b. The corresponding p-value will be larger than 0.05. c. the corresponding p-value will be smaller than 0.01. d. I can’t say anything about the corresponding p-value until I run the testRound answers to 3 decimal places. Find a 99% confidence interval on each of the following: a) intercept b) slope c)mean length when x=1400 d)find a 99% prediction interval on length when x=1400Find each of the following. Enter your answers rounded to at least two decimal places. for the za/2 90% confidence interval: za/2 fpr the 86% confidence interval: za/2 for the 95% confidence interval: za/2 for the 99% confience interval: za/2 for the 94% confidence interval:
- K For parts a and b, use technology to estimate the following. a) The critical value of t for a 90% confidence interval with df = 5. b) The critical value of t for a 99% confidence interval with df = 104.If n=29, x=35, and s=2, find the margin of error at a 95% confidence level using the critical value rounded to three decimal places. Give your answer as an equation or as a number rounded to three decimal places.The following questions refer to the output below the following R command. t.test(group2, group3, paired=TRUE) data: group2 and group3 t = -2.4426, df = 39, p-value = 0.01921alternative hypothesis: true difference in means is not equal to 095 percent confidence interval:-8.4983545 -0.7992152sample estimates:mean of the differences-4.648785 What is the null and alternate hypotheses Which of the following assumptions need to be satisfied for this test? Observations are independent The standard deviations of both populations are normally distributed The distributions of both populations are normal The distribution of the population of differences is normal The distribution of the population of measurements is normal What is the value of the test statistic (3dp) What is the p-value (4dp)Based on this evidence, what is the conclusion
- Solve the following problem and give as an answer the LEFT limit of the confidence interval. Write up to two decimal places without rounding. The anthropologist William Howells took data on cranial distances of remains found in Yauyos, Peru. One of the measurements is the distance between basion and bregma, denoted BBH, the data collected in his sample is shown below. Mean: 122.43mm Std Deviation: 3.5159mm The sample size is 101. finds a confidence interval for the variance of the BBH measure of the remains found in Yauyos with a confidence level of 90%.For a confidence level of 99% and n = 18, find the critical value Xfa/2.n-1 with the table. (Use four digits after the decimal point, e.g. 0.12) Type your answer.Using R Here we will investigate the “confidence level” of each of the confidence intervals:percentile, normal, basic, and BCa. The confidence level of a confidence interval is the longrun proportion that the interval contains the parameter. So, if we took 100 samples andcomputed a 95% CI that estimates the population mean mu, the intervals should contain it95% (95 out of 100) of the time.1(a). Simulate samples X of size n=10 from an exponential distribution with rate =1/50. Run a bootstrap procedure to estimate the median. Compute the 4 CI’s mentionedabove. Repeat this 1,000 times and estimate the confidence level of each type of confidenceinterval.1(b). Are the confidence intervals below or above the confidence level of .95? Whydo you think this is? Explain.1(c). Repeat this for samples of size n=50.1(d). Did the confidence level of the intervals change with the sample size? Are theconfidence intervals below or above the confidence level of .95? Why do you think this…
- 6.2.3 Find the critical value t, for the confidence levelc=0.99 and sample size n= 12. Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.)The test statistic for a left-tailed test is z=-1.42. Solve for the P-value.The width of a confidence interval for a proportion will be:a. wider for a sample of size 100 than for a sample of size 50b. wider for 90% confidence than for 95% confidencec. narrower for 99% confidence than for 95% confidenced. wider when the sample proportion is 0.50 than when the sample proportion is 0.20 Calculations:
