Consider the following hypotheses: ??: ? = 240 ??: ? ? 240 The population is normally distributed with a population standard deviation of 69. (You may find it useful to reference the appropri table: $z$ table or $t$ table) a-1. Calculate the value of the test statistic with $x$ = 250 and $n$ = 45. (Round final answer to 2 decimal places.) Test statistic a-2. What is the conclusion at the 1% significance level? ? Reject $H_0$ since the $p$-value is less than the significance level. ? Reject $H_0$ since the $p$-value is greater than the significance level. ? Do not reject $H_0$ since the $p$-value is less than the significance level. ? Do not reject $H_0$ since the $p$-value is greater than the significance level.
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01$ Since the population standard deviation is known, we use a z-test. The test statistic is given by: $z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$ Show more…
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Consider the following hypotheses: H0: μ = 120 HA: μ ≠ 120 The population is normally distributed with a population standard deviation of 46. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with x̄ = 132 and n = 50. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) a-2. What is the conclusion at the 5% significance level? multiple choice 1 Reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. a-3. Interpret the results at α = 0.05. multiple choice 2 We conclude that the population mean differs from 120. We cannot conclude that the population mean differs from 120. We conclude that the sample mean differs from 120. We cannot conclude that the sample mean differs from 120. b-1. Calculate the value of the test statistic with x̄ = 108 and n = 50. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. What is the conclusion at the 10% significance level? multiple choice 3 Reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. b-3. Interpret the results at α = 0.10. multiple choice 4 We conclude that the population mean differs from 120. We cannot conclude that the population mean differs from 120. We conclude that the sample mean differs from 120. We cannot conclude that the sample mean differs from 120.
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Consider the following hypotheses: H0: μ = 450, HA: μ ≠ 450. The population is normally distributed with a population standard deviation of 78. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic with x̄ = 464 and n = 45. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) a-2. What is the conclusion at the 10% significance level? Reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. a-3. Interpret the results at α = 0.10. We conclude that the population mean differs from 450. We cannot conclude that the population mean differs from 450. We conclude that the sample mean differs from 450. We cannot conclude that the sample mean differs from 450. b-1. Calculate the value of the test statistic with x̄ = 437 and n = 45. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. What is the conclusion at the 5% significance level? Do not reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. Reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. b-3. Interpret the results at α = 0.05. We cannot conclude that the population mean differs from 450. We conclude that the population mean differs from 450. We cannot conclude that the sample mean differs from 450. We conclude that the sample mean differs from 450.
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Consider the following hypotheses: Ho : 250 HA: L < 250 The population is normally distributed. A sample produces the following observations: 237 230 231 247 248 239 Conduct the test at the 5% level of significance: (You may find it useful to reference the appropriate table: z table or t table) Calculate the value of the test statistic. (Negative value should be indicated by minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places) Test statistic b. Find the p-value. p-value < 0.01; 0.05 < p-value < 0.10; 0.025 < p-value < 0.05; 0.01 < p-value < 0.025 c. What is the conclusion? Do not reject Ho since the p-value is less than the significance level. Do not reject Ho since the p-value is greater than the significance level. Reject Ho since the p-value is less than the significance level. Reject Ho since the p-value is greater than the significance level. d. Interpret the results at the 5% significance level. We cannot conclude that the population mean is less than 250. We conclude that the population mean is less than 250. We cannot conclude that the population mean is greater than 250. We conclude that the population mean is greater than 250.
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