8.1.25-T Question Help The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.3 minutes, and the standard deviation is 3.8 minutes. Complete parts (a) through (c) A. The sample size needs to be less than or equal to 30. B. The sample size needs to be greater than or equal to 30. C. Any sample size could be used D. The normal model cannot be used if the shape of the distribution is unknown. (b) What is the probability that a random sample of n 45 oil changes results in a sample mean time less than 15 minutes? The probability is approximately 0.0109 (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager. There is a 10% chance of being at or below a mean oil-change time of minutes. (Round to one decimal place as needed.)

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: 2(x + 1) = 10

A: GIVEN: 2(x + 1) = 10                 x + 1 = 5                 x = 5 - 1                 x =

Q: { 2z + y = 4 Ty = dz +1 9.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 11) y2+ 2y+ 1

A: simplify the equation

Q: 0 is within the scope of the model. What is 1.29. Refer to regression model (1.1). Assume that X =…

A:

Q: G(y) А + Be 10

A:

Q: 8) 2 . 1 1 X - 3

A: Simplification

Q: Cx-3) Gょ2)tG3)

A:

Q: 6. 5x = x-2 (Quadratic Formula)

A: We have to find the value of x  from the given quadratic form

Q: What can you conclude regarding the numbers y and z if x z?

A: Given x<y, x>z

Q: s+1 l(s?+2s+2)2)

A:

Q: (8) y=x +5 -6 -5 -2

A:

Q: iv) F(s) = 55-4 65-4/64 52-45+20

A: F(s) = (5s - 4)/(s2 - 4s + 20)          = (5s - 4)/{(s2 - 4s + 4) + 16}         = (5s - 4)/{(s - 2)2…

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: Can I get an interpretation and a conclusion on this solution

A: The regression equation for the given data is: Temperature change = 0.667 + 0.108X1 + 0.226X2 +…

Q: b) -5 Y 5 4 3 2 + -4 -3 -2 -1 -] -5+ 2 3 4 5 व

A: A graph of the function is given.We have to find the equation of the graph.

Q: 377 ƒ (0) = 4; ƒ (17) = 0; ƒ (¹) = −4; ƒ | (##)=0.scm=4 2 = 0; ƒ () = 4

A: Step 1:Step 2: Step 3:Step 4:Step 5:

Q: Vandermonds Theorem: 2 F₁ (-n, b; c; 1) (c-b) (c)₂

A:

Q: tim D1R (++)) + om 1 Im te i ned d

A: limn→∞((n1+n)α+sin(1n)),foralln∈Qnow ,We recall some…

Q: 3) x-4y 8 3

A: x-4y=8 is shown by red graph y =x/4 + 3 is shown by blue graph. From the graph , both the lines are…

Q: L-1 (s+2)²+3 2.

A:

Q: 4. State whether the statements are true or false. Explain. (a) There is an even number multiple of…

A:

Q: Let I = S xdxdy. Then I=16.

A:

Q: *(2 + 16) (a + 8)(x + 4) 16 where z # a + 8 Submit Question

A:

Q: 4x+1=-36

A: Given,         4x+7=38

Q: Compute P2.

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost second…

Q: 3(c) please

A:

Q: 5. Solve. 3 1 8. * – 25 x+5 X-5

A:

Q: 7+ 5- 4. 3 (-5, 3) (3, 2) -5 -4' -3 -2 -1 3 4 -1 -2+ 3.

A:

Q: 6) y=-2(x-1) +4 Ay 86-4-2

A: We have to slove above question

Q: 7.) -3- %3D 10 2'

A: .

Q: 2. (14 points) Let X and Y have the following joint probability density function(pdf): if 0 < x < 1,…

A: The joint probability density function of X and Y is  fX,Y(x,y)=cx2y, if 0&lt;x&lt;1 and…

Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

A:

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

A: We have to show that ℝ and ℝ2 covered by countably many open balls.

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.