Question

Sweet corn of a certain variety is known to produce individual ears of com with a mean weight of 8 ounces. A farmer is testing a new fertilizer designed to produce larger ears of com, as measured by their weight. He selects a random sample of 10 ents of com and determines their weight (in ounces). The data are as follows: 8.25 7359,05 8.00 8.25 8.75 9.00 7.60 8.45 8.55

Do the data provide convincing evidence at the a=0.05 level that the fertilizer had a positive impact on the weight of the com cars?

Answer 1

We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms

Explanation:

Given the data :

8.25 7.35 9.05 8.00 8.25 8.75 9.00 7.60 8.45 8.55

Using calculator :

Mean, x = 8.325

Standard deviation, s = 0.560

Null hypothesis :

H0: μ = 8

H1 : μ > 8

The test statistic,

(x - μ) / (s/sqrt(n))

(8.325 - 8) / (0.56 / sqrt(10))

0.325 / 0.177

= 1.835

The Pvalue ; using the Tstatistic calculator ;

α = 0.05 ; df = 10 - 1 = 9

Pvalue = 0.04985

Reject H0 ; if Pvalue is < α

Hence, since 0.04985 < 0.05 ; we reject H0

. We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms