Scenario 4: A researcher wants to study about the relationship between a students' grade in Mathematics and his average number of hours of sleep. Using the data from 23 families, the computed r between the grade and average number of hours of sleep was found to be 0.43. Test if there exists a significant relationship between the two variables at 1% level of significance. Interpret the computed r value. (Write your interpretation in statement form) Test if there is a significant relationship between the two variables at 5% level of significance. (Show complete proof/steps with conclusion in statement form)

Q: 10. Suppose you are given the sequence 625, 1875, 5625... Determine n where S = 6, 150, 625 72

A:

Q: An employee makes $26 an hour. The employee gets paid 2.5 times his normal wage for any hours (or…

A: It is given that an employee is getting $26 for an hour. (A) In a week, if 37 hours are working…

Q: Write an equation for the nth term of the geometric sequence: 18, -12, 8, 16 32 3¹9

A: Given a geometric sequence.

Q: Find the value of the sum 4 +7 +10 +13 + ... +124.

A:

Q: Express the sum using summation notation. 92 93 9 + +] .. 2

A: Given:    9+922+933+‐‐‐‐+9nn

Q: Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, .

A:

Q: Find the sum of the infinite geometric series. 1 1 1+=+=+=+... 2 4 8 1 1 1 1 1+-+-+ 2 4 8 + ... =…

A:

Q: Find the sum of the geometric series. 40 - 2 +0.10 -... The sum of the series is (Simplify your…

A: Consider the given series. 40-2+0.10-… First, find the value of r. r=-240=-120 And, r=0.10-2=-120…

Q: 31. Find the sum if it exists.

A:

Q: , Part B, and Part C. domain value? Show your work. domain value? Show your work. is 6 when the…

A: We have to find the following conditions according to the given information