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

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)

C) Your conclusion about the null hypothesis

D) Your statement about the claim

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#### Solution Preview

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 ...

#### Solution Summary

This solution shows the calculations for testing the claim that the sacks do not contain 60 pounds at the .05 significance level. The critical value and null hypothesis is given.