A manufacturer makes ball bearings that have a target diameter of 5\text{ mm}5 mm5, start text, space, m, m, end text. Quality control engineers sample ball bearings from a batch to test the hypotheses H_0: \mu = 5\text{ mm}H 0 :μ=5 mmH, start subscript, 0, end subscript, colon, mu, equals, 5, start text, space, m, m, end text vs. H_\text{a}: \mu \neq 5\text{ mm}H a :μ =5 mmH, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 5, start text, space, m, m, end text, where \muμmu is the true mean diameter of the ball bearings in that batch. Suppose that H_0H 0 H, start subscript, 0, end subscript is actually true. Which situation below would have the lowest probability of a Type I error?

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺