Suppose you obtained the heights of ten women and calculated a confidence interval from this information.Think about the random variable that is being used in the problem. Explain why it does not make sense to count data values that lie in a confidence interval.How many of the 100 data values lie within your confidence interval? What percent is this? Is this percent close to 90%? Use the list of data given (the heights of women) and count how many of the data values lie within the confidence interval that you generated based on that data. Some students think that a 90% confidence interval contains 90% of the data.Using complete sentences, explain what we mean by this phrase. When we construct a 90% confidence interval, we say that we are 90% confident that the true population mean lies within the confidence interval.What do you think would happen to the percent of confidence intervals that contained the population mean? Suppose we had generated 100 confidence intervals.Is the percent of confidence intervals that contain the population mean \(\mu\) close to 90%?.Divide this number by the total number of confidence intervals generated by the class to determine the percent of confidence intervals that contains the mean \(\mu\).Using the class listing of confidence intervals, count how many of them contain the population mean \(\mu\) i.e., for how many intervals does the value of \(\mu\) lie between the endpoints of the confidence interval? The actual population mean for the 100 heights given Table is \(\mu = 63.4\).As others in the class write their confidence intervals on the board, copy them into Table. Now write your confidence interval on the board.Write the confidence interval you obtained in the first space of Table. With these values, construct a 90% confidence interval for your sample of ten values. Assume that the population standard deviation is known to be 3.3 inches. Calculate the sample mean and the sample standard deviation.Use a random number generator to select ten data values randomly. Given: Heights of 100 Women (in Inches) 59.4 The student will determine the relationship between the confidence level and the percentage of constructed intervals that contain the population mean.The student will calculate a 90% confidence interval using the given data.If you get stuck, try asking another group for help. You should try to answer the questions without referring to your textbook.
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