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1. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative

1. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A coin mint has a specification that a particular coin has a mean weight of 2.5g. A sample of 39coins was collected. Those coins have a mean weight of 2.49445g and a standard deviation of 0.01813g. Use a 0.05significance level to test the claim that this sample is from a population with a mean weight equal to 2.5g. Do the coins appear to conform to the specifications of the coin mint?

Question 2

The accompanying data table lists measured voltage amounts supplied directly to a family's home. The power supply company states that it has a target power supply of 120 volts. Using those home voltage amounts, test the claim that the mean is 120 volts. Use a 0.05 significance level.

Day Volts
1 124.4124.4
2 123.9123.9
3 123.9123.9
4 123.5123.5
5 123.4123.4
6 123.3123.3
7 123.3123.3
8 123.6123.6
9 123.5123.5
10 124.2124.2
11 123.5123.5
12 123.7123.7
13 123.8123.8
14 123.7123.7
15 123.9123.9
16 124.0124.0
17 124.2124.2
18 123.9123.9
19 123.8123.8
20 123.8123.8
Day Volts
21 124.0124.0
22 123.9123.9
23 123.6123.6
24 124.2124.2
25 123.4123.4
26 123.4123.4
27 123.4123.4
28 123.4123.4
29 123.3123.3
30 124.2124.2
31 123.5123.5
32 123.6123.6
33 123.9123.9
34 123.9123.9
35 123.9123.9
36 123.8123.8
37 123.9123.9
38 123.7123.7
39 123.8123.8
40 123.8123.8

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