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Identify which value represents the sample mean and which value represents the claimed population mean.A) American households spent an average of about $52 in 2007 on Halloween merchandise such as costumes, decorations and candy. To see if this number had changed, researchers conducted a new survey in 2008 before industry numbers were reported. The survey included 1,500 households and found that average Halloween spending was $58 per household.B) The average GPA of students in 2001 at a private university was 3.37. A survey on a sample of 203 students from this university yielded an average GPA of 3.59 in Spring semester of 2012.

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Answer:

A) the average value of Halloween spending of $52 in 2007 is claimed population mean and the value of Halloween spending $58 per household found out through survey done in 2008 is the sample mean

B) the average GPA 3.37 in 2001 is the claimed population mean and the average GPA through survey of 203 students is sample mean.

Step-by-step explanation:

'Claimed population mean' means the average value not taken through a survey of a sample size therefore in both options the average value is Claimed population mean

'Sample mean' is taken from a group of population therefore the value in both options taken through a survey of a sample population is Sample mean

A sample is a portion of a whole group. We use sample to predict data about the whole group(called population).

A) The sample mean is: average Halloween spending was $58 per household (survey in year 2008)

The population mean is: American households spent an average of about $52 in 2007

B) The sample mean is: average GPA of 3.59 (survey in 2012)

The population mean is: average GPA of students in 2001 at a private university was 3.37

What is sample mean and sample, and population mean and population?

Sample is a portion researchers or any interested person or community takes out from a big group(called population) so as to predict properties of that big group.

We work on sample because big groups are sometimes too big that we can't cover it all in normal time. There are some other reasons too because of which we work on samples instead of population.

Sample mean is the mean obtained in the sample taken.

Population mean is hypothesized mean of population(since we don't know real mean of population, that's why hypothesized).

Thus, for given condition, we have:

A) The sample mean is: average Halloween spending was $58 per household (survey in year 2008)

The population mean is: American households spent an average of about $52 in 2007

B) The sample mean is: average GPA of 3.59 (survey in 2012)

The population mean is: average GPA of students in 2001 at a private university was 3.37

Learn more about sample mean and population mean here:

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