The one-sample t statistic from a sample of n = 21 observations for the two-sided test...
The one-sample t statistic from a sample of n = 21 observations for the two-sided test of H0: μ = 60, Ha: μ ≠ 60 has the value t = –1.98. Based on this information: we would reject the null hypothesis at α = 0.05. All of the answers are correct. 0.025 < P-value < 0.05. we would reject the null hypothesis at α = 0.10
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The one-sample t statistic from a sample of n = 21 observations
for the two-sided test...
We are looking to calculate the power of a one-sided test from n independent observations from...
We are looking to calculate the power of a one-sided test from n independent observations from a N(μ, σ2) distribution with a null hypothesis of Ho : μ-μο and an alternative H1 : μ > μο. Supposing that we know σ2, we can form a test statistic o/Vn and reject the null hypothesis when T > 1.645. This test has level α = 0.05. We want a formula for the power of this test against the alternative that μ-A-This power...
A t statistic of 1.2 is computed from a large simple random sample of 10,000 observations...
A t statistic of 1.2 is computed from a large simple random sample of 10,000 observations to test a null hypothesis H0: μ-O, against an alternative Ha. The test is performed at a level of significance of 0.05. what is the corresponding p-value if the alternative is Ha: μ+0 ? (not equal to zero) Hint: For large samples, the t-statistic follows the N(O,1) distribution just as the z-statistic
We are looking to calculate the power of a one-sided test from n independent observations xi...
We are looking to calculate the power of a one-sided test from n independent observations xi from a N (µ, σ2 ) distribution with a null hypothesis of H0 : µ = µ0 and an alternative H1 : µ > µ0. Supposing that we know σ2, we can form a test statistic T = (x¯ − µ0)/(σ/√n) and reject the null hypothesis when T > 1.645. This test has level α = 0.05. We want a formula for the power...
A researcher runs a one-sample, one-sided t-test, and finds that t = 1.93, df = 21,...
A researcher runs a one-sample, one-sided t-test, and finds that t = 1.93, df = 21, α = .05, where: H 0: μ = 12 H 1: μ > 12 What decision should be made regarding the hypothesis? -Reject the null hypothesis. -Reject the alternative hypothesis. -Fail to reject the null hypothesis. -Fail to reject the alternative hypothesis.
We are looking to calculate the power of a one-sided test from n independent observations Xi...
We are looking to calculate the power of a one-sided test from n independent observations Xi from a N(μ, σ2) distribution with a null hypothesis of Ho : μ-μ0 and an alternative H, : μ 〉 μ0. Supposing that we know σ2, we can form a test statistic T= and reject the null hypothesis when T 〉 1.645. This test has level α 0.05. We want a formula for the power of this test against the alternative that μ-74-This power...
The one-sample t statistic from a sample of n = 13 observations for the two-sided test...
The one-sample t statistic from a sample of n = 13 observations for the two-sided test of the following hypotheses has the value t 1.49. Hoi 64 H 64 (a) What are the degrees of freedom for t? df = (b) Locate the two critical values t from Table C that bracket t. (Use 3 decimal places.) <t What are the twwo-sided P-values for these two entries? <P-value 1.49 significant at the 10 % level? (d) Is the value t...
In order to conduct a hypothesis test of the population mean, a random sample of 28 observations is drawn from a nor...
In order to conduct a hypothesis test of the population mean, a random sample of 28 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 17.9 and 1.5, respectively. Use Table 2. Use the p-value approach to conduct the following tests at α = 0.10. H0: μ ≤ 17.5 against HA: μ > 17.5 a-1. Calculate the value of the test statistic. (Round your intermediate calculations to 4 decimal places and...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Ro...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) _______ (b) Use the t distribution table to compute a range for the p-value. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left. No, the x distribution...
We are looking to calculate the power of a one-sided test from n independent observations from a N(μ, σ2) distribution with a null hypothesis of Ho : μ-μο and an alternative H1 : μ > μο. Supposing that we know σ2, we can form a test statistic o/Vn and reject the null hypothesis when T > 1.645. This test has level α = 0.05. We want a formula for the power of this test against the alternative that μ-A-This power...
A t statistic of 1.2 is computed from a large simple random sample of 10,000 observations to test a null hypothesis H0: μ-O, against an alternative Ha. The test is performed at a level of significance of 0.05. what is the corresponding p-value if the alternative is Ha: μ+0 ? (not equal to zero) Hint: For large samples, the t-statistic follows the N(O,1) distribution just as the z-statistic
We are looking to calculate the power of a one-sided test from n independent observations Xi from a N(μ, σ2) distribution with a null hypothesis of Ho : μ-μ0 and an alternative H, : μ 〉 μ0. Supposing that we know σ2, we can form a test statistic T= and reject the null hypothesis when T 〉 1.645. This test has level α 0.05. We want a formula for the power of this test against the alternative that μ-74-This power...
The one-sample t statistic from a sample of n = 13 observations for the two-sided test of the following hypotheses has the value t 1.49. Hoi 64 H 64 (a) What are the degrees of freedom for t? df = (b) Locate the two critical values t from Table C that bracket t. (Use 3 decimal places.) <t What are the twwo-sided P-values for these two entries? <P-value 1.49 significant at the 10 % level? (d) Is the value t...
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