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How much more time do statistics students spend studying for their final exam than they spend studying for their midterm exam? A researcher randomly selected

How much more time do statistics students spend studying for their final exam than they spend studying for their midterm exam? A researcher randomly selected ten statistics students and asked how many minutes they spent studying for each exam. The results of the study are shown below.

Final 306 267 333 174 211 212 156 166 247 220
Midterm 217 232 175 45 149 37 190 211 28 176

Assume both follow a Normal distribution.

For this study, we should use

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- t-interval for the difference between two dependent population means

-t-interval for the difference between two independent population means

- z-interval for a population proportion t-interval for a population mean

-z-interval for the difference between two population proportions

Compute the 95% confidence interval for the difference. Round to the nearest minute.

(______ , _______)

Interpret the confidence interval in the context of the study:

  • With 95% confidence the mean number of minutes that the ten sampled statistics students spent studying for their final exam is between $21 and $146 more than the mean number of minutes that the ten sampled statistics students spent studying for their final exam.
  • With 95% confidence the population mean number of minutes statistics students spend studying for their final exam is between $21 and $146 more than the population mean number of minutes statistics students spend studying for their midterm exam.

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