The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 100 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape). O mean = $115,000, standard deviation = $2,500, and shape approximately normal by the Central Limit Theorem unknown O mean = $115,000, standard deviation = $6,250, and shape O mean = $115,000, standard deviation = $6,250, and shape = exactly normal mean = $115,000, standard deviation = $25,000, and shape = exactly normal O mean $115,000, standard deviation = $2,500, and shape = exactly normal

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### Sampling Distribution of the Sample Mean

The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 100 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape).

#### Options:
1. **Mean = $115,000, standard deviation = $2,500, and shape = approximately normal by the Central Limit Theorem**
2. **Mean = $115,000, standard deviation = $6,250, and shape = unknown**
3. **Mean = $115,000, standard deviation = $6,250, and shape = exactly normal**
4. **Mean = $115,000, standard deviation = $25,000, and shape = exactly normal**
5. **Mean = $115,000, standard deviation = $2,500, and shape = exactly normal**
Transcribed Image Text:### Sampling Distribution of the Sample Mean The selling price of new homes in a city over a year was normally distributed with a mean of $115,000 and a standard deviation of $25,000. A random sample of 100 new home sales from this city was taken. Describe the sampling distribution of the sample mean (indicate center, spread, shape). #### Options: 1. **Mean = $115,000, standard deviation = $2,500, and shape = approximately normal by the Central Limit Theorem** 2. **Mean = $115,000, standard deviation = $6,250, and shape = unknown** 3. **Mean = $115,000, standard deviation = $6,250, and shape = exactly normal** 4. **Mean = $115,000, standard deviation = $25,000, and shape = exactly normal** 5. **Mean = $115,000, standard deviation = $2,500, and shape = exactly normal**
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