Explore BrainMass

# Test the claim that each bag of the farmers potatoes are 60 pounds?

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Problem: A farmer sells sacks of potatoes at a county fair. Each bag is labeled 60 pounds. The fair organizers employ a statistician to verify that all business is conducted accurately. The statistician selects 50 sacks of the farmer's potatoes and finds a sample mean of 57 pounds. The standard deviation is 8 pounds. Test the claim that the sacks do not contain 60 pounds at the .05 significance level.

Identify the following:

A) Ho (Null hypothesis).
1. Critical Value
B) Test Statistic (show calculation)

https://brainmass.com/statistics/hypothesis-testing/test-claim-each-bag-farmers-potatoes-13209

## SOLUTION This solution is FREE courtesy of BrainMass!

Problem: A farmer sells sacks of potatoes at a county fair. Each bag is labeled 60 pounds. The fair organizers employ a statistician to verify that all business is conducted accurately. The statistician selects 50 sacks of the farmer's potatoes and finds a sample mean of 57 pounds. The standard deviation is 8 pounds. Test the claim that the sacks do not contain 60 pounds at the .05 significance level.
Identify the following:
A) Ho (Null hypothesis).
1. Critical Value

Null hypothesis : Mean=M = 60 pounds

Critical value z=
Z at the 0.05 level of significance 1 tailed test = -1.6448

B) Test Statistic (show calculation)

sample mean= 57
Hypothesized Mean=M = 60 pounds
Standard deviation =s= 8 pounds
sample size=n= 50
sx=standard error of mean=s/square root of n= 1.1314
Significance level=alpha (a) = 0.05
No of tails= 1

Since sample size= 50 > = 30 use normal distribution

Test statistic
z=(sample mean-M )/sx= -2.6516

Reject Null Hypothesis since test statistic is outside the accepatnce region ( beyond critical value)