1.The standard deviation for a population is =6.93. A random sample selected from this population gave a mean equal to 47.95. Construct a 95% confidence interval for assuming n=100. Round your answers to two decimal places. _____________ to ____________ 2.Consider H0: =100 versus H1: 100. A random sample of 66 observations produced a sample mean of 90. Using =0.1, would you reject the null hypothesis? The population standard deviation is known to be =13. 3. A sample of size 117 from a population having standard deviation = 7 produced a mean of 47. The 99% confidence interval for the population mean (rounded to two decimal places) is: The lower limit is _______ The upper limit is_______ 4. The mean federal income tax paid last year by a random sample of 39 persons selected from a city was $ 4296. Suppose the standard deviation of tax paid in this city is = $ 820. The 95% confidence interval for the population mean (rounded to two decimal places) is: The lower limit is ______ The upper limit is ______ 5. A researcher wants to test if the mean price of houses in an area is greater than $ 145,000. The alternative hypothesis for this example will be that the population mean is: - equal to $145,000 - not equal to $$145,000 - greater than or equal to $145,000 - greater than $145,000 6. A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is: -less than or equal to 30 minutes -not equal to 30 minutes -equal to 30 minutes -less than 30 minutes 7. The following four steps must be taken to perform a hypothesis test using the p-value approach: 1. 2. 3. 4. Calculate the p-value. Select the distribution to use. Make a decision. State the null and alternative hypotheses and determine the significance level. The correct order for performing these steps is: -4, 2, 1, 3 -3, 2, 1, 4 -4, 1, 2, 3 -2, 3, 1, 4 8. A random sample of 87 customers, who visited a department store, spent an average of $ 70 at this store. Suppose the standard deviation of expenditures at this store is = $ 20. The 98% confidence interval for the population mean (rounded to two decimal places) is: The lower limit is $___________ The upper limit is $__________ 9. The mean IQ score of a sample of 62 students selected from a high school is 91. Suppose the standard deviation of IQ's at this school is = 7.2. The 99% confidence interval for the population mean (rounded to two decimal places) is: The lower limit is __________ The upper limit is ___________