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CassidgTab
09.12.2019 •
Mathematics
Asurvey of 100 similar-sized hospitals revealed a mean daily census in the pediatrics service of 27 with a standard deviation of 6.5. researchers test whether these data provide sufficient evidence to indicate the mean is greater than 25. use α=.05. give 1. the hypotheses, 2. appropriate test, 3. decision rule, 4. calculated test statistic, and 5. conclusion with a comparison to the critical value or alpha.
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Ответ:
We conclude that the mean is greater than 25.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 25
Sample mean,
= 27
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 6.5
First, we design the null and the alternate hypothesis
We use One-tailed(right) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,![z_{critical} \text{ at 0.05 level of significance } = 1.645](/tpl/images/0410/7336/dab68.png)
Since,
We reject the null hypothesis and accept the alternate hypothesis.
Thus, the mean is greater than 25.
Ответ: