Given the following hypotheses: HoiH2 20 H,iµ > 20 A random sample of five resulted in the following values: 18, 15, 12, 19, and 21. Assume a normal population. Using the .01 significance level, can we conclude the population mean is less than 20? a. State the decision rule. b. Compute the value of the test statistic. c. What is your decision regarding the null hypothesis? d. Estimate the p-value.

Q: 11) 60

A: Here I am attaching image so that you understand each and every step.

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 10) 21 68

A: We know that tan θ=Opposite sideAdjacent sidetan(68)=x21

Q: 9) 60

A: The figure is

Q: 35 45

A: Given: we agr given a right triangle as shown in figure  To find out: As in labled diagram measure…

Q: 8) 16 15

A: Answer is below

Q: 12 16

A: We know that If a perpendicular is drawn from the vertex of right angle triangle of a right triangle…

Q: 38 10

A:

Q: 57-24

A: Given that: 57-24

Q: 4) 37 12

A:

Q: 11 11 4. 64

A: Given: simplify the expression

Q: 2. 27

A:

Q: 5.1 16

A:

Q: 5) 45 6. y

A: We have to find x and y

Q: 29 33

A:

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: 15 10 24 15

A:

Q: 225 x 45= %|

A:

Q: 7) 16 63

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.