### Answers

Step-by-step explanation:

16 + 45

Convert 16 like this!

10 + 6 = 16

Convert 45 like this!

40 + 5 = 45

Add 6 and 5

6 + 5 = 11

Add 10 + 40

10 + 40 = 50

Add 50 + 11

50 + 11 = 61

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Explanation:

a. At the 0.05 level of significance, there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`= 6,700 hours

Sample standard deviation=s= 600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282

Z(0.05)=1.645

Z(0.025)=1.960

t(0.01)(49)= 1.299

t(0.05)= 1.677

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance, there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0 for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test we reject H0 as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ± z∝/2 (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

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Explanation:

Even though it is a little bit complicated to distinguish the different options, these are the answers:

1. Oliver Cromwell was Lord Protector of the Commonwealth of England, Scotland, and Ireland from 1653 until his death (1658).

2. King Charles I was executed by Puritans in January 1649, since he rejected the demand of the English Parliament for the establishment of a constitutional monarchy.

3. The Commonwealth of England was created after the end of the Second Civil War and the execution of Charles I, in 1649, and it lasted until 1660. During that time, England, Wales, Ireland, and Scotland were ruled as a republic.

4. Theaters in London closed between 1642 and 1660.

5. The office of the Lord Protector was created in 1653.

6. The English Civil Wars (there were three of them in this period) took place between 1642 and 1651. The First Civil War took place between 1642 and 1646. It was a conflict between supporters of the monarchy of Charles I and those who rejected it.

nah

Step-by-step explanation:

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Parliamentarians ("Roundheads") and Royalists ("Cavaliers") found against each other in the civil war of 1642-1645.

Roundheads supported the Parliament of England during the English Civil War which lasted from 1641 to 1652. Roundheads were Parliamentarians, who fought against King Charles I of England and his supporters, called the Cavaliers or Royalists, who claimed rule by absolute monarchy and the principle of the 'divine right of kings'. The Roundhead party wanted the Parliament to have supreme control over executive administration of the country.

the correct answer is 61

the first answer is right☝️

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