A $ion of given to omly high sch seniors. The sample mean test score is 1110, and the sample standard devi- ation is 123. Construct a 95% confidence interval for the population mean test score for high school seniors.
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- You measure 35 backpacks' weights, and find they have a mean weight of 64 ounces. Assume the population standard deviation is 4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight. Give your answers as decimals, to two places + ouncesWe are interested in seeing if there is a difference between how long women and men spend shopping at Costko-K. Men spend an average of 48 minutes in our store with a standard deviation of 22 minutes. Women spend an an average of 39 minutes in our store with a standard deviation of 9 minutes. The sample size for men is 250 and the sample size for women is 300. Test the hypothesis at a 95% confidence level. Show your calculations and explain your findings.In a recent year, a sample of the South American Redeye Piranha was collected by fishermen on a particular river. Wildlife biologists regard this sample as a random sample of all Redeye Piranha in that river. The mean length of the 60 fish in the sample was 12.88 cm, and a 99% confidence level for the true mean length of all Redeye Piranha in that river is 12.09 cm to 13.67 cm. Explain what would happen to the length of the interval if the confidence level were decreased to 95%.
- On the Stanford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 92 and a standard deviation of 6.92. What is the standard error of the 90% confidence interval of the average IQ of the kindergarten pupils?You measure 40 turtles' weights, and find they have a mean weight of 63 ounces. Assume the population standard deviation is 7.5 ounces. Based on this, construct a 90% confidence interval for the true population mean turtle weight. Give your answers as decimals, to two places ouncesA sample of 106 body temperatures was taken and the mean was 98.2 degrees F. The population standard deviation is 0.62 degrees. Use a 0.05 level of significance to test the claim that the average body temperature is actually different than 98.6 degrees F. Find the 95% confidence interval of the mean temperature and compare your results.
- You measure 40 dogs' weights, and find they have a mean weight of 71 ounces. Assume the population standard deviation is 9.6 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places ouncesSalaries of 34 college graduates who took a statistics course in college have a mean, x, of $67,400. Assuming a standard deviation, o, of $15,845, construct a 90% confidence interval for estimating the population mean u.A sample of 12 suburban hotels showed that the mean revenue is $1117. It is known that the standard deviation is $121.8. Construct the 90% confidence interval for the true average revenue of all suburban hotels.
- A study of 22 goats reveals that the average length of a goat’s tail is 6.3 inches. If the standarddeviation is known to be 1.2 inches find a 95% confidence interval for the mean tail length.After a sewer spill into a lake, an environmentalist wanted to test to see if the water was safe (mean bacteria count per unit volume of water is less than 200). Ten samples along different locations of the lake resulted in a sample mean of 192.7 and a sample standard deviation of 10.81. 2. a. Construct a 95% confidence interval for the mean.The average entrance exam score of a random sample of 35 freshmen students is 89.66 with a standard deviation of 18.28. Construct a 96% confidence interval for the true mean score of the freshmen students.