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1. Suppose the researcher wants to investigate the mean number of hours worked per week by female in this Caribbean island. It is believed that women work no more than 35 hours per week. Assuming the respondents in the labour force dataset represents a random sample of respondents in this country, used the statistics calculated in question 10 to test this claim made about women in this country. (10 points) Note: Make sure to state the null and alternative hypotheses both in words and statistical notation (3 points). Formulate decision rules (3 points). Calculate the appropriate test statistics making sure to indicate the formula that you are using (2 points). State the conclusion in the context of this situation (2 points)


The mean is 24.71287

The standard deviation is 22.43138


Construct the sampling distribution




1. A population consists of the values 1,4,3,2 with sample size 2.




2. A population consists of 1,3,5,7,9 with sample size 3.

INTERVAL ESTIMATE


4. Suppose that the amount of time spend by working student weekly is normally distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes. Determine the 95% confidence interval estimate of the population mean.



INTERVAL ESTIMATE


4. Suppose that the amount of time spend by working student weekly is normally distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes. Determine the 95% confidence interval estimate of the population mean.



INTERVAL ESTIMATE

4. Suppose that the amount of time spend by working student weekly is normally distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes. Determine the 95% confidence interval estimate of the population mean.



SAMPLE SIZE DETERMINATION

3. A bread shop owner wishes to find the 95% confidence interval of the true mean cost of special bread. How large should the sample be if she wishes to be accurate within ₱8? As previous study showed that the standard deviation of the price was ₱12.



SAMPLE SIZE DETERMINATION

3. A bread shop owner wishes to find the 95% confidence interval of the true mean cost of special bread. How large should the sample be if she wishes to be accurate within ₱8? As previous study showed that the standard deviation of the price was ₱12.



SAMPLE SIZE DETERMINATION

3. A bread shop owner wishes to find the 95% confidence interval of the true mean cost of special bread. How large should the sample be if she wishes to be accurate within ₱8? As previous study showed that the standard deviation of the price was ₱12.



INTERVAL ESTIMATE

4. Suppose that the amount of time spend by working student weekly is normally distributed with the standard deviation of 25 minutes. A random sample of 125 observations is drawn and the sample mean is computed as 150 minutes. Determine the 95% confidence interval estimate of the population mean.



3. A bread shop owner wishes to find the 95% confidence interval of the true mean cost of special bread. How large should the sample be if she wishes to be accurate within ₱8? As previous study showed that the standard deviation of the price was ₱12.