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- for a one factor anova comparing four treamtnets, what is the null hypothesisWhen performing a two-sample t-test, if the variance in the two groups being compared are considered equal, when the sample size increases in each group (gets larger) but the variances and means do not change, then the size of the t-statistic will get Group of answer choices The test statistic does not change Smaller Larger Cannot determine based on the information providedA manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. Based on a 23 bag sample where the mean is 438 grams and the variance 196, Is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled Assume the population distribution is approximately normal. State the null and alternative hypotheses, the value test statistic, state if it's one or two tailed, determine the decision rule for rejecting null hypothesis, and make rule to reject or fail to reject
- Suppose chemical engineers wish to compare the fuel economy obtained by two different formulations of gasoline. Since fuel economy varies widely from car to car, if t mean fuel economy of two independent samples of vehicles run on the two types of fuel were compared, even if one formulation were better than the other the larg variability from vehicle to vehicle might make any difference arising from difference in fuel difficult to detect. Just imagine one random sample having many more larg vehicles than the other. Instead of independent random samples, it would make more sense to select pairs of cars of the same make and model and driven under simila circumstances, and compare the fuel economy of the two cars in each pair. Thus the data would look something like Table 9.3.1, where the first car in each pair is operatec on one formulation of the fuel (call it Type 1 gasoline) and the second car is operated on the second (call it Type 2 gasoline). Table 9.3.1: Fuel Economy of Pairs of…A researcher measures weights of Rat A and Rat B, 8 animals from each of the species were weighed and 95% CI on the means of the weights was calculated. Length of CI of Rat A mean weight was 20 mm, length of CI of Rat B mean weight was 30. Which rat type has a more variant weight? Explain your answer. A hypothesis test was performed to test if variance of a dataset is different than 3.5 or not, by using α = 0.05. The dataset had 8 samples, and value of the test statistic was 20. What was the hypothesis, which test was used, was it rejected or accepted? 200 autistic children were given an IQ test. The researcher wants to compare their average IQ to IQ of the general public. Which hypothesis test should they use and why? Do you prefer to have high Type I error or high Type II error in your hypothesis test? Why?