It may be that sunshine has a unique effect on learningstatistics. Previous research has been in disagreement, with somestudies showing that sunshine increases amount learned whereasothers show sunshine has detrimental effects on learning. You wouldlike to determine for yourself whether or not sunshine makes aDIFFERENCE on statistics learning. Let's assume you take fivestatistics students and give them a lesson on a sunny day, and thentake a completely different and unrelated five students and givethem the same lesson on a rainy day. These are their results for aquiz on their lesson:

Sunny Day Students:

• Student 1: 9.8
• Student 2: 6.7
• Student 3: 7.2
• Student 4: 8.2
• Student 5: 5.1

xbar₁ = 7.4

Rainy Day Students:

• Student 6: 8.2
• Student 7: 6.7
• Student 8: 6.8
• Student 9: 9.7
• Student 10: 7.1

xbar₂ = 7.7

a. State the null and alternative hypotheses.

b. What are the degrees of freedom for this t-test?Find the corresponding critical t-value(s) for Type Ierror rate (alpha) of α = 0.05?

c. Calculate your observed t-statistic (hint: you willneed to calculate the standard deviations of both groupsfirst).

d. Compare your observed t-statistic to the criticalt-value. What do you conclude regarding the null hypothesis?

e. Calculate and interpret the 95% Confidence interval.

f. Calculate and interpret the standardized effect size (Cohen'sd).

g. What do you conclude about your research question (use yourown words, in everyday language).