Let : fl be the population mean of a certain population. In testing Ho μ = 2.4 versus H₁ : µ ‡ 2.4, a random sample of size 144 was obtained which yield a sample mean of 2.31 and sample standard deviation 0.25. a. Find the P-value. b. Is it reasonable to continue to believe Ho? Explain your answer.
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- #2 abcThe contents of 3232 cans of Coke have a mean of ?⎯⎯⎯=12.15x¯=12.15 and a standard deviation of ?=0.12.s=0.12. Find the value of the test statistic ?t for the claim that the population mean is ?=12.μ=12.You 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?
- A population has a mean μ = 73 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. Hx ox (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=56.5σ=56.5. 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?4:40 Amylab.pearson.com Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. If sample data consist of weights measured in grams, what units are used for these statistics and parameters? a. The symbol for sample standard deviation is b. The symbol for population standard deviation is c. The symbol for sample variance is d. The symbol for population variance is
- 6. A population has a mean of u = 80 and a standard deviation of o = 20. a. Would a score of X= 70 be considered an extreme value (out in the tail) in this sample? Why? %3D b. If the standard deviation were o = 5, would a score of X = 70 be considered an extreme value? Why? %3D 18. Calculate SS, variance, and standard deviation for the following sample of n= 4. Scores: 7, 4, 2, 1 Use the computational formula (for SS) with all appropriate notation for all calculations. %3DA given distribution has a population mean, μ, of 147 and a population standard deviation, σ, of 6. What z-score would be associated with the value x = 100?Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.