Question

In: Math

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
23.84
25.25
21
17.52
19.61
19.83
26.18
34.97
30.1
28.59
20.57
26.94
27.24

Open spreadsheet

  1. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean.

    H0: ? _________> 22.6≥ 22.6= 22.6≤ 22.6< 22.6≠ 22.6

    Ha: ? _________> 22.6≥ 22.6= 22.6≤ 22.6< 22.6≠ 22.6

  2. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?

    (2 decimals) ______

  3. At ? = 0.01, test for a significant difference by completing the following.

    Calculate the value of the test statistic (2 decimals).

    _______

    The p-value is  (4 decimals)

  4. Reject the null hypothesis?

    _____NoYes

    What is your conclusion?

    _________There is insufficient evidence to conclude that the population mean consumption of milk in Webster City is greater than the hypothesized mean.Conclude the population mean consumption of milk in Webster City is greater than the hypothesized mean.

Solutions

Expert Solution

a)

Ho :   µ =   22.6
Ha :   µ >   22.6

b)point estimate of the difference between mean annual consumption in Webster City and the national mean = 25.00-22.6 = 2.40

c)

sample std dev ,    s = √(Σ(X- x̅ )²/(n-1) ) =   4.8685                  
Sample Size ,   n =    14                  
Sample Mean,    x̅ = ΣX/n =    24.9957                  
                          
degree of freedom=   DF=n-1=   13                  
                          
Standard Error , SE = s/√n =   4.8685   / √    14   =   1.3012      
t-test statistic= (x̅ - µ )/SE = (   24.996   -   22.6   ) /    1.3012   =   1.84
                          
  
p-Value   =   0.0443
[Excel formula =t.dist(t-stat,df) ]              

d)

p-value>α, Do not reject null hypothesis   

answer: NO

There is insufficient evidence to conclude that the population mean consumption of milk in Webster City is greater than the hypothesized mean


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...
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...
The annual per capita consumption of fresh bananas​ (in pounds) in the United States can be...
The annual per capita consumption of fresh bananas​ (in pounds) in the United States can be approximiated by the normal​ distribution, with a mean of 8.4 pounds and a standard deviation of 4 pounds. Answer the following questions about the specified normal distribution.​ (a) What is the smallest annual per capita consumption of bananas that can be in the top 10​% of​ consumptions?​ (b) What is the largest annual per capita consumption of bananas that can be in the bottom...
The annual per capita (average per person) chewing gum consumption in the United States is 200...
The annual per capita (average per person) chewing gum consumption in the United States is 200 pieces. Suppose that the standard deviation of per capita consumption of chewing gum is 145 pieces per year. (a) Find the probability that the average annual chewing gum consumption of 84 randomly selected Americans is more than 220 pieces. (b) Find the probability that the average annual chewing gum consumption of 84 randomly selected Americans is within 100 pieces of the population mean. (c)...
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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT