A soil scientist has just developed a new type of fertilizer and she wants to de

Question

A soil scientist has just developed a new type of fertilizer and she wants to determine whether it helps carrots grow larger. She sets up several pots of soil and plants one carrot seed in each pot. Fertilizer is added to half the pots. All the pots are placed in a temperature-controlled greenhouse where they receive adequate light and equal amounts of water. After two months of growth, the scientist harvests the carrots and weighs them (in kilograms). Below is a data table showing the weight of the carrots at the end of the growing period from the two treatment groups.

When analyzing this dataset with a t-test, the

___________ hypothesis states that the average size of the carrots from each treatment are the same, whereas the ____________ hypothesis states that the fertilized carrots are larger in size.

To analyze this data set, should the scientist use a __________-tailed t-test?

After performing a t-test assuming equal variances using the data analysis add-in for MS Excel, what is the calculated t-value for this data set? ____________

Round your answer to four decimal places.

Your answer should be a positive value.

Report the appropriate critical t value, based on your decision of a one- or two-tailed test, calculated by MS Excel using the Data Analysis add-in. _____________

Round your answer to four decimal places.

What is the appropriate p value for the t-test? ____________

Report your answer in exponential notation

Report your answer to 4 decimal places after converting to exponential notation

e.g.

1.1234E-01 for 0.112341

3.1234E-04 for 0.000312341

Would you reject or fail to reject the null hypothesis? ___________

Sample ID Control Fertilizer Treatment 1 0.363 0.202 2 0.414 0.663 3 0.423 0.298 4 0.243 0.849 5 0.429 0.314 6 0.376 0.416 7 0.205 0.39 8 0.211 0.674 9 0.367 0.472 10 0.251 0.674 11 0.462 0.764 12 0.485 0.301 13 0.218 0.183 14 0.307 0.291 15 0.49 0.499 16 0.473 0.273 17 0.262 0.373 18 0.49 0.493 19 0.398 0.765 20 0.358 0.549 21 0.222 0.607 22 0.281 0.265 23 0.422 0.365 24 0.232 0.85 25 0.437 0.511 26 0.405 0.627 27 0.422 0.661 28 0.285 0.611 29 0.283 0.672 30 0.466 0.371

Explanation / Answer

When analyzing this dataset with a t-test, the

______Null_____ hypothesis states that the average size of the carrots from each treatment are the same, whereas the __Alternative__________ hypothesis states that the fertilized carrots are larger in size.

To analyze this data set, should the scientist use a __right________-tailed t-test.

Go to data>Data analysis> T test assuming unequal variances

output is

t=what is the calculated t-value for this data set?

t=3.6212

Report the appropriate critical t value, b

t crit=1.682

What is the appropriate p value for the t-test? ______

p=0.0004

p<0.05

Would you reject or fail to reject the null hypothesis?

Reject the null hypothesis.

t-Test: Two-Sample Assuming Unequal Variances Fertilizer Treatment Control Mean 0.499433 0.356 Variance 0.037758 0.00931 Observations 30 30 Hypothesized Mean Difference 0 df 42 t Stat 3.621159 P(T<=t) one-tail 0.000392 t Critical one-tail 1.681952 P(T<=t) two-tail 0.000783 t Critical two-tail 2.018082

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