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For the data in the spreadsheet assessment1.xls, calculate the:
1. mean:
13.7
64.4
73.8
74.2
2. median:
13.7
64.4
73.8
74.2
3. range:
13.7
64.4
73.8
74.2
4. standard deviation:
13.7
64.4
73.8
74.2
5. Assume that the volume of ketchup in a nominal 48 oz. bottle can be described by a normal distribution. If the mean fill volume is 48.6 oz. with a standard deviation of 0.3 oz., what percentage of bottles will be filled with less than 48 oz. of ketchup?
2.275%
2.5%
5%
10%
6. A television manufacturer has tested a sample of 100 picture tubes to see how long they last under accelerated aging conditions. The sample mean was 1800 hours with a sample standard deviation of 200 hours. Calculate a 99% confidence interval for the mean picture tube life.
1800 +/- 25.6
1800 +/- 32.8
1800 +/- 39.2
1800 +/- 51.5
7. The pH factor is a measure of the acidity or alkalinity of water. A reading of 7.0 is neutral; values in excess of 7.0 indicate alkalinity while those below 7.0 imply acidity.The best chance of catching bass occurs when the pH of the water is in the range of 7.5 to 7.9. Suppose that you suspect that acid rain is lowering the pH of your favorite fishing spot and you wish to determine whether the pH in your lake is statistically less than 7.5. You collect a random sample of 10 water specimens and find the mean pH reading is 7.3 with a standard deviation of 0.2. What is the p-value if you structure the problem as a hypothesis test.
0.0051
0.0057
0.0101
0.0115
8. A new type of slot machine is being designed to pay something to the player 20% of the time. What is the probability that a player will deposit 10 quarters without winning something?
0.012
0.063
0.107
0.268
9. In a recent voter poll of 400 registered voters, 230 favored the Republican candidate for governor. Give a 95% confidence interval for the percentage of voters in the state who support the governor.
57.5% +/- 3.2%
57.5% +/- 4.1%
57.5% +/- 4.8%
57.5% +/- 5.7%
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