Examples - inferences for one mean

Examples - inferences for one mean - 3. The heights of...

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Examples 1 1. The heights of female university students are approximately normally distributed with a standard deviation 6 cm. A sample of 9 female university students yields a mean height of 177 cm. (a) Find a 95% confidence interval for the mean height of all female university students. (b) Interpret the 95% confidence interval in part (a). (c) Find a 90% confidence interval. (d) Find the sample size required to have a margin of error of 0.5 cm and a 95% confidence level. 1 Courtesy of Dr. Nosal
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2. Test of hypothesis for one population mean (when σ is known) It is known from studies performed in the past that the weight of Fraser River sockeye salmon during each annual run follows a normal distribution with a standard deviation of 0.5 lb. However the mean weight of fish may fluctuate from year to year depending on many ecological and genetic factors. A researcher would like to test whether or not this year’s run has a mean population weight of 5 lb. A random sample of nine fish yielded a mean of 4.7 lb. Test the hypothesis of the researcher at the 5% significance level.
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Unformatted text preview: 3. The heights of female university students are approximately normally. A sample of 9 female university students yields a mean height of 177 cm and a standard deviation of 6 cm. (a) Find a 95% confidence interval for the mean height of all female university students. (b) Find a 90% confidence interval. (c) Interpret the 90% confidence interval in part (b). 4. Test of hypothesis for one population mean (when is unknown) It is known from studies performed in the past that the weight of Fraser River sockeye salmon during each annual run follows a normal distribution. However the mean weight of fish may fluctuate from year to year depending on many ecological and genetic factors. A researcher would like to test whether or not this years run has a mean population weight of 5 lb. A random sample of nine fish yielded a mean of 4.7 lb and a standard deviation of 0.5 lb. Test the hypothesis of the researcher at the 5% significance level....
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Examples - inferences for one mean - 3. The heights of...

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