(Solved): As part of an experiment to see how different types of soil cover would affect tomato weight, colle ...

As part of an experiment to see how different types of soil cover would affect tomato weight, college students grew tomato plants under different soil cover conditions. Groups of three plants each had one of the following treatments: • bare soil • a commercial ground cover • black plastic • straw • compost Otherwise, all plants grew under the same conditions and were the same variety. The table shows the recorded weight (in grams) of tomatoes produced. A hypothesis test will be conducted to see if all types of ground coverings produce the same tomato weight on average. Use \( \alpha=0.05 \). a) Which is the null hypothesis? All types of ground coverings produce different tomato weights on average. All ground coverings produce the same tomato weight as bare soil. All ground coverings produce the same tomato weight on average. At least one group produced a different tomato weight on average. b) Which is the alternative hypothesis? All ground coverings produce the same tomato weight on average. All ground coverings produce the same tomato weight as bare soil. All types of ground coverings produce different tomato weights on average. At least one group produced a different tomato weight on average. c) What is the value of the test statistic? Round to 2 decimal places. All ground coverings produce the same tomato weight as bare soil. All types of ground coverings produce different tomato weights on average. At least one group produced a different tomato weight on average. c) What is the value of the test statistic? Round to 2 decimal places. d) What is the p-value? Round to 4 decimal places. e) Which is the decision? Fail to reject the null hypothesis. Reject the null hypothesis. f) Which is the interpretation of this decision? There is not enough evidence that at least one type of ground cover produces tomatoes of different weight on average. There is enough evidence that all tomatoes are the same weight. There is enough evidence that at least one type of ground cover produces tomatoes of different weight on average. There is not enough evidence that all tomatoes are the same weight.