MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=74.5σ=74.5. You would like to be 90% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?n =arrow_forwardYou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 103 and s = 11.4 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a. Reject H0. There is insufficient evidence to conclude that ? ≠ 100. b. Do not reject H0. There is insufficient evidence to conclude that ? ≠ 100. c. Reject H0. There is sufficient evidence to conclude that ? ≠ 100. d. Do not reject H0. There is sufficient evidence to conclude that ? ≠ 100. (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a. Reject…arrow_forwardYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=26.4σ=26.4. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?n =arrow_forward
- You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ? = 100 Ha: ? ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.05. (a) x = 104 and s = 11.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. a.) Reject H0. There is insufficient evidence to conclude that ? ≠ 100. b.) Do not reject H0. There is sufficient evidence to conclude that ? ≠ 100. c.) Do not reject H0. There is insufficient evidence to conclude that ? ≠ 100. d.) Reject H0. There is sufficient evidence to conclude that ? ≠ 100. (b) x = 95.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.…arrow_forwardYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=37.8σ=37.8. You would like to be 90% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?arrow_forwardYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=74.5σ=74.5. You would like to be 98% confident that your estimate is within 2.5 of the true population mean. How large of a sample size is required?n =arrow_forward
- You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=67.7σ=67.7. You would like to be 95% confident that your estimate is within 1 of the true population mean. How large of a sample size is required? n =arrow_forwardYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=21.8σ=21.8. You would like to be 98% confident that your estimate is within 0.8 of the true population mean. How large of a sample size is required?n = Do not round mid-calculation.arrow_forwardYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=46.9σ=46.9. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?n =arrow_forward
- The null and alternate hypotheses are: Ho Hy H2 H₁ H₁ H₂ A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. A random sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3. The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a difference between the population means? Required: a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Answer is complete but not entirely correct. -1.761 or 1.761 The decision rule is to reject Ho b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) Pooled estimate of the population variancearrow_forwardYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=40.4σ=40.4. You would like to be 90% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required? n=arrow_forwardClaim: μ=40; α=0.04; σ=3.88. Sample statistics: x=38.2, n=72 the null and alternative hypotheses: H0: μ=40 Ha: μ≠40 calculate the standardized test statistic. The standardized test statistic is enter your response here. (Round to two decimal places as needed.)arrow_forward
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