Given a 95% confidence interval for a population mean l: 95% CI for µ = (-2.3, 3.5) Which statement about the population mean is incorrect? We are 95% confident that the population mean lies in the range (-2.3 to 3.5) The population mean is between (-2.3 to 3.5) with 95% probability The range (-2.3 to 3.5) is computed by a procedure that succeeds in covering the population mean 95% of the time. 95% of all the samples that could have been drawn would fall in the range (-2.3 to 3.5)
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- A confidence interval for the difference between two population proportions is found as follows. The population proportions from populations 1 and 2 are given by p, and p,, and the sample sizes are given by n, and n,, respectively. The value is the standard normal variable with an upper tail area of Za/2 2 P1(1 - P1) P2(1 – P2) P1- P2 + Za/2V n1 + n2 Values of z a/2 for common confidence levels are given below. Confidence Level Za/2 90% 0.10 0.05 1.645 95% 0.05 0.025 1.960 99% 0.01 0.005 2.576 Using this table, the necessary value for z for a 95% confidence level is Za[2An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that o = 12 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this number of students? Yes. This numb of IQ test scores a fairly large number. No. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number.A random sample of size 49 from normal population yields, mean = 2.6 and standard deviation = 9.7. The lower bound of a 80 percent confidence interval for population mean is O a. 0.28 O b. 0.80 O C. -1.11 O d. -0.19
- An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 6 IQ points of the true mean. Assume that o = 12 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.) InConstruct a 99% confidence interval for H1 H2 with the sample statistics for mean cholesterol content of a hamburger from two fast food chains and confidence interval construction formula below. Assume the populations are approximately normal with unequal variances. Stats x₁ = 135 mg, s₁ = 3.82 mg, n₁ = 18 Confidence interval when (x-2)- variances are not equal 2 AA random sample of 76 eighth grade students' scores on a national mathematics assessment test has a mean score of 294. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 33. At α=0.13, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A. H0: μ=285 Ha: μ>285 (claim) B. H0: μ=285 (claim) Ha: μ>285 C. H0: μ≤285 Ha: μ>285 (claim) D. H0: μ≥285 (claim) Ha: μ<285 E. H0: μ≤285 (claim) Ha: μ>285 F. H0: μ<285 Ha: μ≥285 (claim) Part 2 (b) Find the standardized test statistic z, and its corresponding area. z=enter your response here (Round to two decimal…An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 7 IQ points of the true mean. Assume that o = 10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this number of students? No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly small number.Julia enjoys jogging. She has been jogging over a period of several years, during which time her physical condition has remained constantly good. Usually, she jogs 2 miles per day. The standard deviation of her times is ?=1.8σ=1.8 minutes. She has a random sample of 90 runs. For these 90 times, the sample mean was 15.61 minutes. Find an 80% confidence interval for the population mean time for Julie to run 2 miles.3. Overproduction of uric acid in the body can be an indication of cell breakdown. Over a period of clam 2 months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be sono normal, with σ = 1.86mg/dl. Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error?A sample of n=30n=30 data values randomly selected from a normally distributed population has variance s2=18.2s2=18.2. Construct a 99% confidence interval for the population variance. Round your endpoints to one decimal place.An IQ test is designed so that the mean is 100 and the standard deviation is 8 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 2 1Q points of the true mean. Assume that o = 8 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)A sample of size n=45 has sample mean x =56.9 and sample standard deviation s=9.4. Part: 0/2 Part 1 of 2 Construct a 99% confidence interval for the population mean u. Reund the answers to ene decimal place. A 99% confidence interval for the population mean isSEE MORE QUESTIONS