Question

Ten years ago, the average acreage of farms in a certain geographic region was 65 acres. The standard deviation of the population was 7 acres. A recent study consisting of 28 farms showed that the average was 61.6 acres per farm. Test the claim, ata = 0.10, that the average has not changed by finding the P-value for the test. Assume o has not changed and the variable is normally distributed. Part 1 out of 5 State the hypotheses and identify the claim with the correct hypothesis.

1. state the hypothesis and identify the claim with the correct hypothesis. Also one or two tailed test?

2. Compute the test value

3. Find the P-value

4. Make the decision to reject or not reject the null hypothesis

5. Summarize the results

Answer 1

we have given 0-1 ( poupula Hou simdood dwichou) 2 = 65 ( Population mean) n-28 t = 61.6 ( Sample size) (sample mean] llwel of significance) de 010 (I). Dur Hypoturis is HO! 1=65 Hai uz 65 H will be claim talled test the Hot Statistte is 25 all din 2 = 61.6 65 71528 2 = Cascanned with CamScanner -2.57

DI) p-value to the tailed and probabilly Value P-value = P(1217 2157) -2157 2.57 P-valll.2 01017 CO Sine p-vale 7 a we fail to Reject to fə Therefore, have enough evidence to support the average has not chayed at a=0.10. claim that are cscanned with CamScanner