In order to conduct a hypothesis test of the population mean, a random sample of
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Question
In order to conduct a hypothesis test of the population mean, a random sample of 9 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 5.3 and 1.4, respectively
In order to conduct a hypothesis test of the population mean, a random sample of 9 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 5.3 and 1.4, respectively
Use the critical value approach to conduct the following tests at = 0.01. Ho: 4.5 against HA: > 4 a-1. Calculate the value of the test statistic. (Round your intermediate calculations to 4 .5 decimal places and final answer to 2 decimal places.) lest statistic a-2. Calculate the critical value. (Round your answer to 3 decimal places.) Critical value a-3.What is the conclusion? Reject Ho since the value of the test statistics is greater than the critical value Reject Ho since the value of the test statistics is smaller than the critical value Do not reject Ho since the value of the test statistics is smaller than the critical value Do not reject Ho since the value of the test statistics is greater than the critical value Ho: -4.5 against HA: 4.5 b-1. Calculate the value of the test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Test statistic b-2. Calculate the critical value(s). (Round your answers to 3 decimal places.) Critical value(s) b-3. What is the conclusion? Do not reject Ho since the value of the test statistics is smaller than the critical value Do not reject Ho since the value of the test statistics is greater than the critical value Reject Ho since the value of the test statistics is smaller than the critical value Reject Ho since the value of the test statistics is greater than the critical valueExplanation / Answer
From the statistical software outputs:
a - 1) Test statistic = 1.714
a - 2) Critical value = 2.896
a - 3) Do not reject Ho since test statistic < Critical Value; Option C is correct.
b - 1) Test statistic = 1.71
b - 2) Critical value = + 3.355
b - 3) Option A is correct.
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