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Asked Apr 17, 2019

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Question #3 i started problem little

P#1 mean =9 SD= 3.5 n= 28

P#2 mean 13 SD= 4.5 n=23

Chpt 10

Step 1

The aim is to check whether there is a difference between the average manufacturing times in the two process. Here the sample sizes are 28 and 23 respectively which are comparatively less and the population standard deviations are unknown. Therefor z test cannot be used here. In this situation t test can be used.

Let μ_{1 }be the true average manufacturing time of the 1^{st} process.

Let μ_{2 }be the true average manufacturing time of the 2^{nd} process.

Let x_{1 }bar and s_{1} be the sample mean and sample standard deviation manufacturing time of the 1^{st} process.

Let x_{2 }bar and s_{2} be the sample mean and sample standard deviation manufacturing time of the 2^{nd} process.

Step 2

**State the appropriate null and alternative hypotheses:**

*Null hypothesis:*

*H*_{0} : μ_{1} = μ_{2}

That is, the average manufacturing times in the two process is same.

*Alternative hypothesis:*

*H*_{1} : μ_{1} ≠ μ_{2}

That is, the average manufacturing times in the two process differs from each other.

*Test statistic:*

The test statistic for *t *test is given by:

Step 3

Here, *n1 =* 28, *n2 =* 23, x1 bar = 9, x2 bar = 13, s1 = 3.5, s2 = 4.5

Therefore the ...

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