the Mean corn yield in the United States has been about 135 bushels per acre for

Question

the Mean corn yield in the United States has been about 135 bushels per acre for the last several years. A random Sample of 50 commercial corn growers this year gives a sample Mean yield of 138.4 bushels per acre with a Standard Deviation of 10 bushels per acre.

Using = .01 and testing whether or not the bushels/acre have increased, complete the following statement:

"There [A)"is", B)"is not"]         statistically significant evidence to suggest

[a)"the true average bushels per acre", b)"any given bushel from a random acre", c)"any random bushel from any random acre", d)"any random bushel from a given acre"]         is [a)"different", B)"smaller", c)"greater", D)"equal"]         this year compared to previous years."

Explanation / Answer

her std error of mean =std deviaiton/(n)1/2 =1.414

for test stat t =(X-mean)/std error =(138.4-135)/1.414 =2.404

fort above test stat p value for 49 degree of freedom =0.01002

as p vlaue is higher then = .01

hence "There is not"  statistically significant evidence to suggest [a)"the true average bushels per acre", is c)"greater", this year compared to previous years."

please revert, cause with t test this is true, But with z test it will get reveresed, here as std deviaiton not given I have applied t test

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