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A company hires workers to paint ceramic figurines. A new method was proposed to increase the number

Question: A company hires workers to paint ceramic figurines. A new method was proposed to increase the number of figurines painted.

The table below gives the number of figurines painted in a day by a simple random sample of workers before and after the new method was instituted.

Subject #	Figurines painted each day using old method	Figurines painted each day using new method
1	30	29
2	28	30
3	31	32
4	26	30
5	20	16
6	30	25
7	34	31
8	15	18
9	28	33
10	20	25
11	20	32
12	29	28
13	31	34
14	29	32
15	34	32
16	20	27
17	26	28
18	25	29
19	31	32
20	29	32

(A) What is the 95% confidence interval for the mean increase in the number of figurines painted in a day by each worker?

(B) Based on the 95% confidence interval found in part (A), is a mean increase of 3 figurines per day by each worker a significant improvement? Explain your reasoning.

(C) Management claims that the new method has increased the production by each worker. Conduct an hypothesis test to determine if the claim is valid.

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