Question
A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed...
A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the 95% confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year.
| Rating (last year) | 80 | 68 | 69 | 48 | 45 | 70 | 83 | 78 | 67 | 94 |
|---|---|---|---|---|---|---|---|---|---|---|
| Rating (this year) | 94 | 40 | 62 | 76 | 62 | 61 | 90 | 54 | 40 | 86 |
Step 3 of 4 :
Calculate the margin of error to be used in constructing the
confidence interval. Round your answer to six decimal places.
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84
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90
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