sampling calculate a 93% confidence interval for the true mean SAR for cell phones certified for use in the US. As previously, assume that the population standard deviation is o = 0.337. Phone Model SAR Phone Model SAR Blackberry Pearl 8120 HTC Evo Design 4G HTC Freestyle LG Ally 1.48 Nokia E71x 1.53 0.8 Nokia N75 0.68 1.15 Nokia N79 1.4 Sagem Puma Samsung Fascinate Samsung Infuse 4G Samsung Nexus S Samsung Replenish 1.36 1.24 LG Fathom 0.77 0.57 LG Optimus Vu Motorola Cliq XT 0.462 0.2 1.36 0.51 Motorola Droid Pro 1.39 0.3 Motorola Droid Razr M 1.3 Sony W518a Walkman 0.73 Nokia 7705 Twist 0.7 ZTE C79 0.869 Solution A

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### Educational Content: Calculating Confidence Intervals

In this example, we are presented with data from a random sampling of 20 cell phone models and their respective SAR (Specific Absorption Rate) values. This data will be used to calculate a 93% confidence interval for the true mean SAR of cell phones certified for use in the US. The population standard deviation is given as \( \sigma = 0.337 \).

#### Table of SAR Values

| Phone Model             | SAR  | Phone Model          | SAR  |
|-------------------------|------|----------------------|------|
| Blackberry Pearl 8120   | 1.48 | Nokia E71x           | 1.53 |
| HTC Evo Design 4G       | 0.8  | Nokia N75            | 0.68 |
| HTC Freestyle           | 1.15 | Nokia N79            | 1.4  |
| LG Ally                 | 1.36 | Sagem Puma           | 1.24 |
| LG Fathom               | 0.77 | Samsung Fascinate    | 0.57 |
| LG Optimus Vu           | 0.462| Samsung Infuse 4G    | 0.2  |
| Motorola Cliq XT        | 1.36 | Samsung Nexus S      | 0.51 |
| Motorola Droid Pro      | 1.39 | Samsung Replenish    | 0.3  |
| Motorola Droid Razr M   | 1.3  | Sony W518a Walkman   | 0.73 |
| Nokia 7705 Twist        | 0.7  | ZTE C79              | 0.869|

#### Solution A

[Content for Solution A]

#### Solution B

[Content for Solution B]

#### Interpretation

[Content for Interpretation]

The table illustrates the SAR values of 20 different phone models. By analyzing these values, we can determine the confidence interval needed to predict the average SAR for all certified phones in the U.S. more accurately.
Transcribed Image Text:### Educational Content: Calculating Confidence Intervals In this example, we are presented with data from a random sampling of 20 cell phone models and their respective SAR (Specific Absorption Rate) values. This data will be used to calculate a 93% confidence interval for the true mean SAR of cell phones certified for use in the US. The population standard deviation is given as \( \sigma = 0.337 \). #### Table of SAR Values | Phone Model | SAR | Phone Model | SAR | |-------------------------|------|----------------------|------| | Blackberry Pearl 8120 | 1.48 | Nokia E71x | 1.53 | | HTC Evo Design 4G | 0.8 | Nokia N75 | 0.68 | | HTC Freestyle | 1.15 | Nokia N79 | 1.4 | | LG Ally | 1.36 | Sagem Puma | 1.24 | | LG Fathom | 0.77 | Samsung Fascinate | 0.57 | | LG Optimus Vu | 0.462| Samsung Infuse 4G | 0.2 | | Motorola Cliq XT | 1.36 | Samsung Nexus S | 0.51 | | Motorola Droid Pro | 1.39 | Samsung Replenish | 0.3 | | Motorola Droid Razr M | 1.3 | Sony W518a Walkman | 0.73 | | Nokia 7705 Twist | 0.7 | ZTE C79 | 0.869| #### Solution A [Content for Solution A] #### Solution B [Content for Solution B] #### Interpretation [Content for Interpretation] The table illustrates the SAR values of 20 different phone models. By analyzing these values, we can determine the confidence interval needed to predict the average SAR for all certified phones in the U.S. more accurately.
Expert Solution
Step 1

CI = \bar{x} \pm z \frac{s}{\sqrt{n}}

To calculate, use
invNorm(CI + (1-CI)/2)

To find the z-score for the central 93%, remember that 7% is in the tails, 3.5% in the upper tail and 3.5% in the lower tail. So
invNorm(.965)=1.812 is our z

 

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