A random sample of n = 45 observations from a quantitative population produced a mean x...
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.6 and a standard deviation s = 0.33. Your research objective is to show that the population mean μ exceeds 2.5. Calculate β = P(accept H0 when μ = 2.6). (Use a 5% significance level. Round your answer to four decimal places.)
Homework Answers
The statistical software output for this problem is:
From above output:
= 1 - Power = 1 - 0.6393 = 0.3607
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A random sample of n = 45 observations from a quantitative
population produced a mean x...
A random sample of n = 50 observations from a quantitative population produced a mean x = 2.6 and a standard deviation s = 0.35
A random sample of n = 50 observations from a quantitative population produced a mean x = 2.6 and a standard deviation s = 0.35. Your research objective is to show that the population mean y exceeds 2.5. Calculate β = P(accept H0 when μ = 2.6). (Use a 5% significance level. Round your answer to four decimal places.)
A random sample of n = 40 observations from a quantitative population produced a mean x...
A random sample of n = 40 observations from a quantitative population produced a mean x = 2.6 and a standard deviation s = 0.25. Your research objective is to show that the population mean u exceeds 2.5. Calculate B = P(accept He when u = 2.6). (Use a 5% significance level. Round your answer to four decimal places.) B =
A random sample of n = 45 observations from a quantitative population produced a mean x...
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.33. Your research objective is to show that the population mean u exceeds 2.1. Calculate B = P(accept H, when u = 2.2). (Use a 5% significance level. Round your answer to four decimal places.) B = 0 You may need to use the appropriate appendix table or technology to answer this question.
A sample of 48 observations is selected from a normal population. The sample mean is 22,...
A sample of 48 observations is selected from a normal population. The sample mean is 22, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 21 H1: μ > 21 What is the p-value? (Round your answer to 4 decimal places.)
Suppose a random sample of n = 25 observations is selected from a population that is...
Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 106 and standard deviation equal to 15. (a) Give the mean and the standard deviation of the sampling distribution of the sample mean x̄. mean= standard deviation= (b) Find the probability that x̄ exceeds 115. (Round your answer to four decimal places.) (c) Find the probability that the sample mean deviates from the population mean μ...
The observations from a random sample of n = 6 from a normal population are: 13.15,...
The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...
A random sample of n = 10 observations from a normal population produced x = 47.8...
A random sample of n = 10 observations from a normal population produced x = 47.8 and s2 = 4.3. Test the hypothesis H0: μ = 48 against Ha: μ ≠ 48 at the 5% level of significance. State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t > t <
A sample of 40 observations is selected from a normal population. The sample mean is 20,...
A sample of 40 observations is selected from a normal population. The sample mean is 20, and the population standard deviation is 2. Use the 0.05 significance level. H0 : μ ≤ 19 H1 : μ > 19 A) what is the value of the test statistics? ( round answer to 2 decimal places) B) what is your decision regarding H0? Fail to reject or reject C) what is the p- value? ( round your answer to 4 decimal...
A sample of 44 observations is selected from a normal population. The sample mean is 24,...
A sample of 44 observations is selected from a normal population. The sample mean is 24, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 23 H1: μ > 23 a) Is this a one- or two-tailed test? b) What is the decision rule? c) What is the value of the test statistic? d) What is your decision regarding H0? e) What is the p-value? f) Interpret the...
A sample of 36 observations is selected from a normal population. The sample mean is 49,...
A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 50 H1: μ ≠ 50 Q. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)
A random sample of n = 40 observations from a quantitative population produced a mean x = 2.6 and a standard deviation s = 0.25. Your research objective is to show that the population mean u exceeds 2.5. Calculate B = P(accept He when u = 2.6). (Use a 5% significance level. Round your answer to four decimal places.) B =
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.33. Your research objective is to show that the population mean u exceeds 2.1. Calculate B = P(accept H, when u = 2.2). (Use a 5% significance level. Round your answer to four decimal places.) B = 0 You may need to use the appropriate appendix table or technology to answer this question.
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