Question

In: Statistics and Probability

Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006)....

Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006). Being from the Midwest, you believe milk consumption is higher there and wish to support your opinion. A sample of 16 individuals from the midwestern town of Webster City showed a sample mean annual consumption of 24.1 gallons with a standard deviation of 4.8.

Compute the value of the test statistic. (Round to two decimal places)

What is the p-value? (Round to three decimal places).

At α=0.05, what is your conclusion?

Solutions

Expert Solution

Solution-

Test Statistic = 2.08

P-value = 0.027

by the test results

null hypothesis is rejected.

So, there is enough evidence to claim that milk consumption is higher in the Midwest.

  • using information test is calculated -


Related Solutions

According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. 25.8 23.84 25.25 21.2...
According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 21.5 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Given Data: Gallons of...
According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 21.5 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. 24.8 23.84 25.25 21.3...
According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 21.5 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption below. Gallons of Milk 27.1 23.84 25.25 21 17.52 19.61 19.83 26.18 34.97 29.9 28.59 20.57 26.94 27.24 Develop a hypothesis test that can be...
According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 21.5 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of Milk 29.8...
According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 23.8 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of Milk 28.9...
According to a recent study annual per capita consumption of milk in the United States is...
According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis. Gallons of Milk 28.3...
In 2012, the per capita consumption of soft drinks in the United States was reported to be 44 gallons.
  In 2012, the per capita consumption of soft drinks in the United States was reported to be 44 gallons. Assume that the per capita consumption of soft drinks in the USA is approximately normally distributed with a mean of 44 gallons and a standard deviation of 14 gallons. What is the probability that someone in the United States consumed more than 70 gallons of soft drinks in 2012?             0.3752             0.1395             0.2588             0.0316 Refer back to...
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita...
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 43 gallons of bottled water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled water? c. What is the probability that someone consumed less than 30 gallons of bottled water? d. 90%...
The annual per capita consumption of bottled water was 32.8 gallons. Assume that the per capita...
The annual per capita consumption of bottled water was 32.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.8 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 43 gallons of bottled​ water? b. What is the probability that someone consumed between 30 and 40 gallons of bottled​ water? c. What is the probability that someone consumed less than 30 gallons of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT