Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car did not travel as far as the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 21 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample size t-statistic P-value t P 185 21 -0.65 0.262 The results statistically significant at a = 0.05 because P 0.05.

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Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car did not travel as far as the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 21 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test.

| Mean miles traveled (\(\overline{x}\)) | Sample size (\(n\)) | \(t\)-statistic (\(t\)) | \(P\)-value (\(P\)) |
|----------------------------------------|-------------------|-----------------------|-------------------|
| 185                                    | 21                | -0.65                 | 0.262             |

The results ______ statistically significant at \(\alpha = 0.05\) because \(P\) ______ 0.05.

- Dropdown options for the first blank: "are" / "are not"
- Dropdown options for the second blank: "<" / ">" / "=" / "≠"
Transcribed Image Text:Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car did not travel as far as the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 21 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. | Mean miles traveled (\(\overline{x}\)) | Sample size (\(n\)) | \(t\)-statistic (\(t\)) | \(P\)-value (\(P\)) | |----------------------------------------|-------------------|-----------------------|-------------------| | 185 | 21 | -0.65 | 0.262 | The results ______ statistically significant at \(\alpha = 0.05\) because \(P\) ______ 0.05. - Dropdown options for the first blank: "are" / "are not" - Dropdown options for the second blank: "<" / ">" / "=" / "≠"
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