Food deserts have become a particularly hot topic in the public health community as an explanation for a variety of negative health outcomes in disadvantaged areas. A researcher is interested in comparing the average shelf space provided by supermarkets, convenience stores, and corner stores in two different communities in order to address the growing concern for food deserts. Assume the following table reports the summary statistics for shelf space dedicated to fresh fruits and vegetables (meters) from SRSs of a variety of different stores that supply groceries from each community. Community Average shelf space for fresh fruits and vegetables (m) Sample standard deviation Sample size "Food desert" 13.7 2.4 12 Other community 89.4 14.6 14 A) Carry out the appropriate statistical test in order to determine if there is a significant difference in mean shelf space between the two communities at the alpha level of 0.05. Assume all conditions for the test are met. Do not assume equal variances. Write out your null and alternative hypotheses, and correctly interpret your pvalue. B) Construct a 95% confidence interval for your estimate for the average difference in shelf space provided for fresh fruits and vegetables. Provide an interpretation for your interval.
Food deserts have become a particularly hot topic in the public health community as an explanation for a variety of negative health outcomes in disadvantaged areas. A researcher is interested in comparing the average shelf space provided by supermarkets, convenience stores, and corner stores in two different communities in order to address the growing concern for food deserts. Assume the following table reports the summary statistics for shelf space dedicated to fresh fruits and vegetables (meters) from SRSs of a variety of different stores that supply groceries from each community.
| Community | Average shelf space for fresh fruits and vegetables (m) | Sample standard deviation | Sample size |
| "Food desert" | 13.7 | 2.4 | 12 |
| Other community | 89.4 | 14.6 | 14 |
A) Carry out the appropriate statistical test in order to determine if there is a significant
difference in mean shelf space between the two communities at the alpha level of 0.05. Assume
all conditions for the test are met. Do not assume equal variances. Write out your null and
alternative hypotheses, and correctly interpret your pvalue.
B) Construct a 95% confidence interval for your estimate for the average difference in shelf
space provided for fresh fruits and vegetables. Provide an interpretation for your interval.
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