Can someone help me fill in the 4 blanks? the options for the first blank are si

Question

Can someone help me fill in the 4 blanks?

the options for the first blank are significant or not significant

second blank: 1, 41, 2, 40

third blank: 1, 41, 2, 40

A cognitive psychologist is interested in whether completing a six-week speed-reading course affects reading comprehension. He has students complete a reading comprehension task before and after a six-week speed-reading Course The cognitive psychologist randomly selects a sample of 42 students who, at the beginning of the study, scored an average of 107 points on the reading comprehension task. After the speed-reading course, the students scored an average of 4 points lower. The standard deviation of the difference scores was 12. Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of MD is normal. He uses a repeated measures t test to test that the mean difference is zero, and he describes the results as follows: After the speed-reading course, the reading comprehension among students is not significantly different than before taking the course, t(41) 2.16, p 0.037 If the cognitive psychologist had used a repeated-measures ANOVA to test that the mean reading comprehension is the same before and after the speed-reading course, he would describe the results as follows (fill in all missing values): After the speed-reading course, the reading comprehension among students is different than before taking the course, F p 0.037

Explanation / Answer

There are two groups as after and before the speed - reading.

therefore the degrees of freedom for numerator is 1.

The degree of freedom for denominator is same as the degrees of freedom for t distribution

Therefore the degree of freedom for denominator = 41

For given since the relation between t and F for the two groups if t2 = F

therefore F = t2 = 2.16*2.16 = 4.6656 4.67

Therefore, After the speed-reading course, the braille reading speed among blind Braille readers is not significantly (same result found in t distribution) different than before taking the course, F(1, 41) = 4.67, p = 0.037

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