The results of a t-test showed p-values for the following comparisons: p= 0.024 between mean heart rate in 18-30 year old patients at baseline vs exercise, and p=0.085 between mean heart rate in 45-60 year old patients at baseline vs exercise. Which of the following is the correct graph if the figure legend indicates ‘ *p<0.05 ’?

The figure legend of a bar graph, showing the mean heart rate of 5 individuals before and after exercise, indicates that a t-test was used as a statistical analysis method. Which of the following best describes why the t-test was used? Group of answer choicesThe t-test was used for analyzing categorical data about the individuals.The t-test was used to compare the 5 sets of heart rates to one another.The t-test was used to compare the heart rate means before and after exercise.The t-test was used because the data did not follow a normal distribution.

Suppose you conduct a t test on mean of Normal population: 𝐻0:𝜇=100 vs 𝐻1:𝜇>100. If sample size is 15 and test statistic t0 = 0.89, then using t table the P-value range is found to be

Your study is only valid if your p-value is < 0.05.Group of answer choicesTrueFalse

A t-test of differences resulted in a test statistic of t = 3.644 and a p-value of 7.2 × 10-4 .Use the drop-down boxes to correctly state the decision for this test with reason.We decided in favour of the Answer because the p-value is Answer than 0.05Question 1.4 (1 mark)Which ONE of the following statements is the correct conclusion for this hypothesis test?There is evidence that the speed of a ladybug is not related to whether a predator is present or not.There is evidence that the speed of a ladybug is independent of whether a predator is present or not.There is no evidence that the true mean difference in the speed of ladybugs before and after the presence of a predator differs from zero.There is evidence that the true mean difference in the speed of ladybugs before and after the presence of a predator differs from zero.Question 1.5 (2 marks)Identify two conditions which need to be satisfied for this conclusion to be valid.Condition 1: (Choose ONE option)There need to be the same number of ladybugs in the before and after groups.The ladybugs in the sample need to be representative of the population.The ladybugs need to be randomly selected.There need to be the same number of predators for each ladybug.Condition 2: (Choose ONE option)There needs to be a linear relationship.The population needs to be normal.The sampling distribution needs to be normal.The sample size needs to be big enough.

If the p-values of Clusters, Mixtures, Trends and Oscillations in a Run Chart are > 0.05, what does that indicate?This question is required.*