Task 4: Hypothesis Test Over a long period of time, the production of 1000 high-quality hammers in a factory seems to have reached a weight with an average of 11 (in g) and standard deviation of $12 (in g). Propose a model for the weight of the hammers including a probability distribution for the weight. Provide all the assumptions needed for this model to hold (even the uncertain ones)? What parameters does this model have? One aims at answering one of the following questions about a new production system: • (if 13 = 0): Does the new system make more constant weights? • (if 13 = 1): Does the new system make lower weights? • (if 13 = 2): Does the new system make higher weights? • (if 13 = 3): Does the new system make less constant weights? To answer this question a random sample of newly produced hammers is evaluated yielding the weights in 14- What hypotheses can you propose to test the question? What test and decision rule can you make to estimate if the new system answers the given question? Express the decision rules as logical statements involving critical values. What error probabilities can you suggest and why? Perform the test and draw the conclusion to answer the question

Q: how do we know xi = 1 + 2i/n

A:

Q: Give exact value no calculator

A: Given angle is cos-2π3 We know that, cos-θ=cosθ cosπ2+θ=-sinθ Therefore, using above two formula,…

Q: Length occupied by a bit period signal of 10 Gb/s optical channel in optical fiber (refractive index…

A: Solution :-

Q: Evaluate the exact value of 4 /5 tan sec 4

A: The objective is to evaluate the exact value.

Q: 15 sin0 = 17

A: Given data:     The given value of the trigonometric function is: sinθ=15⁄17.   Calculate the angle…

Q: Derive Newton's divided differences interpolation formula Jo 10:4

A: Solution :-

Q: 45° 8N2

A:

Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: (1000- 9503)÷72=?

A:

Q: tan x + √ 3 = 0

A: To solve for x.

Q: Snd tan Vx 2.

A: This is a case of the integration by substitution

Q: sin-1 (0.8422)

A:

Q: -pi/8 is wrong. it should be 0

A:

Q: Question 7 Find the fraction (in simplest form) that is equivalent to 0. 423 . Show any working and…

A: Topic:- fraction  Note:- as per our guideline if more than one question uploaded than only one…

Q: Evaluate f₁ tan 2 sec zda +C

A:

Q: sin @ 225

A: We have to find value of sin(225∘)

Q: tan-1[tan(-5pi/17)]

A: We have to find the value

Q: 40 9. Find the exact value of .

A: topic - Pythagoras theorem

Q: sec(23*Pi/6)

A:

Q: cot(-5π/3)

A: Given the expression  cot(-5π/3) To calculate the trigonometric value.

Q: Finda TUI X, =

A:

Q: What is the exact value of tan 역

A:

Q: Find the value of 02 -2025 (a) 1 (b) -1 (c) i Select one: O (a) O (b) O (C) O (d)

A:

Q: R IFML GRI=9x+36 then X= ?

A: Given  Angle GRI = 9x + 36 To find the value of x

Q: a. H: b. o (round to two decimals):

A: Given, X~B(10, 0.7)Number of trials=n = 10Probability of success=p = 0.7Probability of failure = 1-p…

Q: The number of semester hours of college credit taken by first-time candidates for a certain…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   Mean , μ = 120…

Q: A procurement specialist has purchased 23 resistors from vendor 1 and 31 resistors from vendor 2.…

A: From the provided information, μ1=110σ1=1.7n1=23μ2=117σ1=2.2n1=31