Question

Part A

A large company is trying to determine the mean number of pounds of decaf coffee sold per week in its stores. The dot plot shows the mean pounds of decaf coffee sold per week from 32 samples of 50 stores each.

Describe the variability of the dot plot.

The majority of the data are clustered between 14 and __ pounds.






Part B
Fill in the blank question.
How might the dot plot be different if each of the 32 samples contained data from 200 stores?

The data would be more tightly clustered between____ and 18 pounds.

The company randomly samples 50 of its stores and records the pounds of decaf sold per week for each store. A mean sale of 18 pounds of decaf coffee per week is calculated from this sample. Based on the sample mean of 18 and the variability observed in the dot plot, what range of values could be used to describe the population mean?

The majority of the data appear to be within ____pounds of the center, so the company can expect the sample mean of 18 pounds to be within____ pounds of the population mean. The mean decaf sales for stores in this company is likely to be between 15 and 21 pounds per week.

The company samples 200 stores and finds a mean of 17 pounds of decaf coffee sold per week. Based on your previous answers, what range of values might describe the mean for all stores in the company?

Due to the increased sample size, there will be less discrepancy between the sample mean and the population mean. The store might expect to sell between____ and 18 pounds of decaf coffee.

Answer 1

Explanation:

Part A:

The variability of the dot plot can be described as follows: The majority of the data are clustered between 14 and __ pounds.

To determine the value to fill in the blank, we need to examine the dot plot. Since the dot plot is not provided in your question, I am unable to provide the exact value to fill in the blank. However, based on the information given, you would need to observe the dot plot and identify the value at which the majority of the data points cluster between 14 and that particular value. Please refer to the dot plot for the specific value.

Part B:

If each of the 32 samples contained data from 200 stores, the dot plot would be different in terms of the range of pounds of decaf coffee sold per week. The data would be more tightly clustered between ____ and 18 pounds.

Again, without the actual dot plot, it is not possible to determine the exact value to fill in the blank. However, based on the information provided, you would need to look at the dot plot and identify the range of pounds of decaf coffee sold per week that would be more tightly clustered between the specific value and 18 pounds.

Regarding the range of values for the population mean:

The majority of the data appear to be within ____ pounds of the center, so the company can expect the sample mean of 18 pounds to be within ____ pounds of the population mean. The mean decaf sales for stores in this company is likely to be between 15 and 21 pounds per week.

Once again, the specific values to fill in the blanks cannot be determined without the dot plot. However, based on the information given, you would need to assess the dot plot and identify the range of pounds of decaf coffee sold per week that would be within the specified values.

Lastly, if the company samples 200 stores and finds a mean of 17 pounds of decaf coffee sold per week, the range of values that might describe the mean for all stores in the company would be:

Due to the increased sample size, there will be less discrepancy between the sample mean and the population mean. The store might expect to sell between ____ and 18 pounds of decaf coffee.

To determine the specific range of values, you would need to consider the dot plot and identify the range of pounds of decaf coffee sold per week that aligns with the given information.