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Question: in order to conduct a hypothesis test for the population...

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In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 12.9 and 2.4, respectively. (You may find it useful to reference the appropriate table: z table or ttable). Ho : μ 12.1 against HA: μ > 12.1 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic a-2. Find the p-value. 0.01 s p-value<0.025 0.025 s p-value < 0.05 p-value < 0.01 p-value 0.10 0.05 s p-value < 0.10

a-3. At the 5% significance level, what is the conclusion? Do not reject Ho since the p-value is greater than significance level. Do not reject Ho since the p-value is less than significance level. OReject Ho since the p-value is greater than significance level. Reject Ho since the p-value is less than significance level a-4. Interpret the results at α 0.05 OWe cannot conclude that the population mean is greater than 12.1 We conclude that the population mean is greater than 12.1 We cannot conclude that the population mean differs from 12.1 We conclude that the population mean differs from 12.1.

Ho : μ- 12 . 1 against HA: μ 12 . 1 b-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2. Find the p-value. Op-value<0.01 s pvalue 0.025 s p-value0.05 0.01 s p-value < 0.025 O p-value 0.10 0.05 s p-value < 0.10

b-3. At the 5% significance level, what is the conclusion? OReject Ho since the p-value is less than significance level OReject Ho since the p-value is greater than significance level. Do not reject Ho since the p-value is less than significance level. Do not reject Ho since the p-value is greater than significance level. b-4. Interpret the results at a 0.05 We conclude that the population mean is greater than 12.1 We cannot conclude that the population mean is greater than 12.1 We conclude that the population mean differs from 12.1 We cannot conclude that the population mean differs from 12.1

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