(MATH 1342 CM HW 9.3 Q1) Retention Test Scores A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th-century novel or by watching it in DVD form. Each student was assigned one novel to read and a different one to watch, and then they were given a 20-point written quiz on each novel. The test results are shown below. At α = 0.10, can it be concluded that the book scores are higher than the DVD scores? Assume the variables are normally distributed.Book | 90 80 90 75 86 88 84 92 90 DVD | 80 70 75 80 79 77 80 83 85(a) State the hypotheses and identify the claim with the correct hypothesis. (I got this first part.)H0: µD = 0 (not claim)H1: µD > 0 (claim)Hypothesis test: One-tailed(b) Find the P-value. Round the answer to at least four decimal places.This is where I'm taking too long to figure this part out and I don't know what the P-value formula is for this word problem as I don't have a TI-84+ calculator for it. So, can you show me what the P-value formula is that it is from section 9.3 "Testing the Difference Between Two Means: Dependent Samples"? Could it be from a t-Test value before finding the P-value? First, come up with a list of data values above L1, L2, and L3 (L1 – L2 = L3), then come up with a t-Test value for the p-Value.(c) Make the decision.Reject or do not reject the null hypothesis?(d) Summarize the results.Is there enough evidence to support the claim?

The retention test score for books and DVDs of the students is given below. Sample size (n)=9Level…

Answered: State the hypotheses and identify the…

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(MATH 1342 CM HW 9.3 Q1) Retention Test Scores A sample of non-English majors at a selected college was used in a study to see if the student retained more from reading a 19th-century novel or by watching it in DVD form. Each student was assigned one novel to read and a different one to watch, and then they were given a 20-point written quiz on each novel. The test results are shown below. At α = 0.10, can it be concluded that the book scores are higher than the DVD scores? Assume the variables are normally distributed.

Book | 90 80 90 75 86 88 84 92 90
DVD | 80 70 75 80 79 77 80 83 85

(a) State the hypotheses and identify the claim with the correct hypothesis. (I got this first part.)

H₀: µ_D = 0 (not claim)
H₁: µ_D > 0 (claim)
Hypothesis test: One-tailed

(b) Find the P-value. Round the answer to at least four decimal places.

This is where I'm taking too long to figure this part out and I don't know what the P-value formula is for this word problem as I don't have a TI-84+ calculator for it. So, can you show me what the P-value formula is that it is from section 9.3 "Testing the Difference Between Two Means: Dependent Samples"? Could it be from a t-Test value before finding the P-value? First, come up with a list of data values above L1, L2, and L3 (L1 – L2 = L3), then come up with a t-Test value for the p-Value.

Reject or do not reject the null hypothesis?

(d) Summarize the results.

Is there enough evidence to support the claim?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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