A study is conducted to assess whether residents in City A spent a different out-of- pocket amount on prescription medications from residents in City B last year. Residents are selected at random. For each resident, the total amount of dollars spent on prescription medications over the last year is recorded. The summary statistics of the sample data are given in the table below (SD means standard deviation). | City A | City B Sample size | 47 | 61 Sample mean | Sample SD 130 | 101 79 | 82 Assume that the population variances of the out-of-pocket amount in Cities A and B are equal. Calculate the standard error of the point estimate of the difference in the mean out-of-pocket amount.

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A study is conducted to assess whether residents in City A spent a different out-of-
pocket amount on prescription medications from residents in City B last year.
Residents are selected at random. For each resident, the total amount of dollars
spent on prescription medications over the last year is recorded. The summary
statistics of the sample data are given in the table below (SD means standard
deviation).
| City A | City B
Sample size |
47 |
61
Sample mean |
130 |
101
Sample SD
79 |
82
Assume that the population variances of the out-of-pocket amount in Cities A and B
are equal. Calculate the standard error of the point estimate of the difference in the
mean out-of-pocket amount.
Your Answer:
Answer
Transcribed Image Text:A study is conducted to assess whether residents in City A spent a different out-of- pocket amount on prescription medications from residents in City B last year. Residents are selected at random. For each resident, the total amount of dollars spent on prescription medications over the last year is recorded. The summary statistics of the sample data are given in the table below (SD means standard deviation). | City A | City B Sample size | 47 | 61 Sample mean | 130 | 101 Sample SD 79 | 82 Assume that the population variances of the out-of-pocket amount in Cities A and B are equal. Calculate the standard error of the point estimate of the difference in the mean out-of-pocket amount. Your Answer: Answer
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