QUESTION 1 In order to reject the null hypothesis, the p statistic must be great

Question

QUESTION 1

In order to reject the null hypothesis, the p statistic must be greater than the critical value of p. [2 pt; L1; II.B]

True

False

QUESTION 2

In a t-test comparing the heights of plants grown under two different treatment conditions, you find that the mean height of plants with Treatment A is 35 cm, and the mean height of those with Treatment B is 28 cm. If the p value returned for these results is 0.08, then you the null hypothesis. [2 pt; L2; II.B]

fail to reject

reject

QUESTION 3

From Case Study 1_Nutria, which of the following statements best expresses the null hypothesis for this experiment. [2 pt; L2; I.A.1]

There is a significant difference in the average weight of nutria from the two locales.

There is no significant difference in the average weight of nutria from the two locales.

The nutria from Bayou La Loutre are, on average, smaller than those from Bayou La Batre.

The nutria from Bayou La Batre are, on average, smaller than those from Bayou La Loutre.

2 points

QUESTION 4

From the Case Study 1_Nutria, which of the following statements best expresses the alternative hypothesis for this experiment. [2 pt; L2; I.A.1]

The nutria from Bayou La Batre are, on average, larger than those from Bayou La Loutre.

The nutria from Bayou La Loutre are, on average, larger than those from Bayou La Batre.

There is no significant difference in the average weight of nutria from the two locales.

There is a significant difference in the average weight of nutria from the two locales.

2 points

QUESTION 5

What statistical test is most appropriate for an analysis these data (Case Study 1_Nutria)? [2 pt; L2; I.A.3]

ranks test

t-test, 2-tailed

t-test, 1-tailed

chi-squared test

2 points

QUESTION 6

What is the probability (p) of obtaining the weights posted under the null hypothesis (Case Study 1_Nutria)? To receive credit, report the p value correctly rounded to 2 decimal places. [2 pt; L2; I.A.3]

2 points

QUESTION 7

Based on the results of the statistical test, do you reject or fail to reject the null hypothesis (Case Study 1_Nutria)? [2 pt; L2; I.A.3]

reject

fail to reject

2 points

QUESTION 8

Which of the following best expresses the conclusion drawn from Case Study 1_Nutria? [3 pt; L3; I.A.4]

There is no statistically significant difference in the average weight of nutria from the two locales.

Nutria from Bayou La Loutre are significantly larger than those from Bayou La Batre.

Nutria from Bayou La Batre are significantly larger than those from Bayou La Loutre.

Explanation / Answer

Q1 # FALSE. Null hypothesis means there is no difference between the two means. To reject this hypothesis, the values of t (obtained from table for one- tail or two-tail t tests) must be greater than the critical t value obtained for a particular significance level (p) and the calculated degree of freedom. If the null hypothesis cannot be rejected, means that the difference that we see may arise due to sampling or chance error.

Q2 # reject. p value can never be at significance level 0.08. It is either 0.005, 0.01, 0.025, 0.050, 0.10, 0.25 for one tailed t test or 0.01, 0.02, 0.05, 0.10, 0.20 or 0.50 for two tailed t test.

Q3 # There is no significant difference in the average weight of nutria from the two locales. Null hypothesis for research purposes can be an assumption that there is no significant differences between the means of the two groups.

Q4 # There is a significant difference in the average weight of nutria from the two locales. Since the mean weights and the significance needs to be calculated for the two groups to come to a conclusion as to which which locale has Nutria with a higher average weight, the alternative hypothesis can simply be a reverse of the null hypothesis.

Q5 # t-test, 2-tailed. The motive is to test (accept or reject) the hypothesis that the mean values of the measurement variable ( in this case, weight of each nutria in kg) are the same in two groups.

Q6 # 0.95. 95% confidence that the conclusion of this test will be valid.

Q7 # fail to reject. The test fails to reject the null hypothesis as the t statistic is less than the t critical.

Q8 # There is no statistically significant difference in the average weight of nutria from the two locales. This statement is in agreement with the null hypothesis which according to the t test fails to get rejected,

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