A random survey of 1000 students nationwide showed a mean ACT score of 21.4. Ohio was not used. A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation in each case is 3. a) Can we conclude that Ohio is below the national average using an alpha of 0.05? b) Find the 95% confidence interval of the difference between means.
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Step 1
- The null hypothesis (H0) is that there is no difference between the mean ACT score of Ohio students and the national average, which means the difference between the means is 0. - The alternative hypothesis (H1) is that the mean ACT score of Ohio students is less Show more…
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Nick J.
1. A survey of 100 students nationwide showed a mean ACT score of 21.4. A survey of 500 Ohio scores showed a mean of 20.8. If the population standard deviation in each case is 3, can we conclude that the Ohio is below the national average? Use = 0.05. (1) traditional method 1 H0: H1: 2 3 4 5 (2) P-value method 1 H0: H1: 2 3 4 5 (3) Find the 90% confidence interval
Sri K.
Conduct the appropriate test. A simple random sample of size $n=40$ is drawn from a population. The sample mean is found to be $108.5,$ and the sample standard deviation is found to be $17.9 .$ Test the claim that the population mean is greater than 100 at the $\alpha=0.05$ level of significance.
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