Does water hardness affect the number of tomatoes produced per Heirloom tomato p

Question

Does water hardness affect the number of tomatoes produced per Heirloom tomato plant? Fifty Heirloom tomato seeds selected randomly from a global seed bank were each planted in individual pots. All pots had the same amount/type of soil and were placed all together under the same light conditions. Twenty-five of the planted seeds were randomly selected to be watered using very hard water. The other twenty-five were watered with low hardness water. All fifty pots received the same amount of water during the four months this study lasted. At the end of four months researchers collected data on the number of Heirloom tomatoes produced by each of the fifty plants.

_____ A). The population in this study is

A. All tomatoes produced with the fifty plants.

B. All tomato plants.

C. All Heirloom tomato plants.

D. All Heirloom tomatoes.

_____ B). The sampling design of this study is

A. Simple random sampling.

B. Multistage random sampling.

C. Stratified random sampling.

D. Voluntary sampling.

_____ C). The experimental design of this study is

A. Randomized block design.

B. Completely randomized design.

C. Matched pairs design.

D. This is not an experiment. This is an observational study.

_____ D). For those plants that received harder water, the distribution of number of tomatoes per plant looked left skewed:

A. This means several plants produced less tomatoes than the rest and therefore the mean would be smaller than the median.

B. This means several plants produced more tomatoes than the rest and therefore the mean would be larger than the median.

_____ E). The mean number of tomatoes produced by the plants that received low hardness water (LHW) was thirty-two and the mean for those that received high hardness water (HHW) was twenty eight. To answer the initial question (in italics at the top of the page):

A. We should perform an independent samples t-test.

B. We should perform a matched-pairs t-test.

C. We should perform a Chi-Squared test of association.

D. We should perform a proportions test.

Explanation / Answer

Answer ;

A. (A) All tomatoes produced with the fifty plants

B. (A). Simple random sampling.

C. (A) Randomized block design

D. (A) This means several plants produced less tomatoes than the rest and therefore the mean would be smaller than the median.

E. (A) We should perform an independent samples t-test.

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