Hello, can you help me solve these questions

QUESTION 20

1. Referring to the table, the t test should be two-tailed.

• A research lab claims that they have a new compound glass lens that improves reading from a distance. To prove this claim, the lab conducts a test on ten subjects who wear eyeglasses. First, each subject is asked to use their own eyeglasses and read 30 numbers placed on a board 12 feet away. The reading errors are recorded for each subject. Then, each subject is asked to use the lab's new compound glass lens and read again the 30 numbers placed on a board 12 feet away. The reading errors are recorded carefully. The table shows the number of reading errors for each subject before and after using the new compound glass lens. Assume the population of differences in reading errors before and after using the new lens, follow a normal distribution. The t test for related samples may be used to determine if there was a significant decrease in the mean number of reading errors by subjects after using the new lens. Suppose the mean decrease in reading errors over all 10 students in the study is 0.7 errors, with a standard deviation of differences computed to 1.42 errors.

Before 2 3 6 7 4 5 3 1 0 0

After1 4 3 8 3 3 1 0 1 0

1. True
2. False

1. A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains in pounds are shown here.

Diet ADiet BDiet C

________________________________

3108

6123

711 2

4145

8

6

_________________________________

If the researcher decided to perform an Analysis of Variance (Anova) F test, the value of the MSA is?

1. 42.120050.5480
2. 65.3410
3. 71.0500

1. A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains in pounds are shown here.

Diet ADiet BDiet C

________________________________

3108

6123

711 2

414 5

8

6

_________________________________

If the researcher performed an Analysis of Variance (Anova) to

check if there is a difference in the diets (in athletes' weight gains), and the F test equals 7.7, the researcherwould conclude:

1. Reject the null hypothesis. There is a difference in the average weight gain ofathletes, following the three special diets, at a level of significance 0.05.
2. Do not reject the null hypothesis. There is not enough evidence to support theclaim that at least one mean weight is different from the others, at a level ofsignificance 0.05.
3. The average weight gain of athletes are all significantly different at the level 0.05.
4. The information is not sufficient to reach a conclusion.