Question

Question 1 a
A marketing executive is investigating whether this year's advertising campaign has resulted in greater mean sales compared with last year's mean sales. The executive collects a random sample of 100
customer orders from a large population of orders and calculates the sample mean and sample standard deviation
Which of the following is the appropriate test for the executive's investigation?

Answer 1

Answer:

B) A one-sample t-test for population mean would be used.

Step-by-step explanation:

The complete question is shown in the image below.

The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.

The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.

Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.

If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.

Therefore, we can conclude that A one-sample t-test for population mean would be used.

Answer 2

T test is the test is a statistical test that is used to compare the means of two groups. The option B is correct option because a one sample t test for a population mean is the appropriate test for the executive's investigation for the given problem.

Given-

The options for the given question are-

• A) A one sample z test for a population mean.

• B) A one sample t test for a population mean.

• C) A one sample z test for a population proportion.

• D) A two sample t test for a difference between means.

• E) A matched pairs t test for a mean difference.

T test

T test is the test is a statistical test that is used to compare the means of two groups.

In the given problem the marketing executive wants to compare the annual sales mean number for the this year to the past year.

The mean value of the past year is known to the marketing executive.

The mean value of this year has to be calculated by the marketing executive.

For this the executive collects a random sample of 100 customer orders from a large population of orders and calculates the sample mean and sample standard deviation.

As t test is used to determine a significant difference between the means of the two groups which may be related in certain features. Thus this test is best suitable for the given problem.

Hence the option B is correct option because a one sample t test for a population mean is the appropriate test for the executive's investigation for the given problem.

For more about the t test, follow the link below-

https://brainly.com/question/1189751