Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.10 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Identify the test statistics and pvalue

Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.10 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents.

Click the icon to view the data table of strontium-90 amounts.

    \( H_0 \): \(\mu _1 = \mu _2\)
    
    \( H_1 \): \(\mu _1 > \mu _2\)

The test statistic is ______. (Round to two decimal places as needed.)
Transcribed Image Text:Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.10 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Click the icon to view the data table of strontium-90 amounts. \( H_0 \): \(\mu _1 = \mu _2\) \( H_1 \): \(\mu _1 > \mu _2\) The test statistic is ______. (Round to two decimal places as needed.)
### Comparative Monthly Water Consumption in Gallons: City #1 vs. City #2

#### City #1:
- 106
- 86
- 121
- 115
- 101
- 104
- 213
- 108
- 290
- 100
- 307
- 145

#### City #2:
- 117
- 74
- 100
- 85
- 90
- 107
- 110
- 111
- 144
- 133
- 101
- 209

This dataset represents the monthly water consumption (measured in gallons) for two cities over a certain period. Each city's monthly water consumption varies, demonstrating fluctuations in usage that could be attributed to various factors such as seasonal changes, population demands, or local policies.

**City #1** exhibits higher peaks, with a maximum value of 307 gallons, while **City #2** reaches a maximum of 209 gallons. Both cities see their lowest consumption rates at 86 gallons and 74 gallons, respectively. The provided data can be utilized to analyze trends, compare average consumption, and determine the efficiency of water usage in these cities.
Transcribed Image Text:### Comparative Monthly Water Consumption in Gallons: City #1 vs. City #2 #### City #1: - 106 - 86 - 121 - 115 - 101 - 104 - 213 - 108 - 290 - 100 - 307 - 145 #### City #2: - 117 - 74 - 100 - 85 - 90 - 107 - 110 - 111 - 144 - 133 - 101 - 209 This dataset represents the monthly water consumption (measured in gallons) for two cities over a certain period. Each city's monthly water consumption varies, demonstrating fluctuations in usage that could be attributed to various factors such as seasonal changes, population demands, or local policies. **City #1** exhibits higher peaks, with a maximum value of 307 gallons, while **City #2** reaches a maximum of 209 gallons. Both cities see their lowest consumption rates at 86 gallons and 74 gallons, respectively. The provided data can be utilized to analyze trends, compare average consumption, and determine the efficiency of water usage in these cities.
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