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# Hyplthesis Testing of Mean

1. A coin mint has a specification that a particular coin has a mean weight of 2.5g. A sample of 39 coins was collected. Those coins have a mean weight of 2.49382g and a standard deviation of 0.01581g. Use a 0.05 significance level to test the claim that this sample is from a population with a weight equal to 2.5g. Do the coins appear to confirm to the specifications of the coin.

Identify the test statistics?

Identify the critical value or values?

2. In order to monitor the ecological health of a particular region, various measurements are recorded at different times. The bottom temperatures are recorded and the mean of 30.391 degrees cel. Is obtained for 61 temperatures recorded on 61 different days. Assuming that &#963; =
1.7c, test the claim the population mean greater than, 30.0c. Use a 0.05 significance level and the displayed results.

Stat the conclusion?

3. A manual states that in order to be a hit, a song must be no longer than three minutes and twenty seconds (or 200 seconds) A simple random sample of 40 current hit songs results in a mean length of 252.5 sec. Assume the population standard deviation of song lengths is 54.5 sec. Use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 200 sec. What do these results suggest about the advice given in the manual?
What is the value of the test statistic?

Identify the critical value(s)

4. In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in s length of 236.7 sec and a standard deviation of 54.53sec. Use 0.05 significance Minitab display to test the claim that the sample if from a population of songs with a mean greater than 210sec.
Identify P-value?

Identify critical value(s)

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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