Question

Mary from LRB Communications is ready to select a menu for the Reception event on day two of her program. Based on the image below, how can you open the Reception event to detail it without scrolling down to the Events related list?

Answer 1

To find the test statistic (z-value) for the given question, calculate the standard errors for each sample using the formula Standard Error = Standard Deviation / Square Root of Sample Size. Then, calculate the z-value using the formula z = (Sample Mean (a) - Sample Mean (b)) / Square Root of (Standard Error (a)^2 + Standard Error (b)^2).

Step-by-step explanation:

To find the test statistic (z-value) for the given question, we first need to calculate the standard error for each sample. The formula for standard error is:

Standard Error = Standard Deviation / Square Root of Sample Size

For the sample from operation a:

Standard Error (a) = 1.36 / Square Root of 50

For the sample from operation b:

Standard Error (b) = 1.06 / Square Root of 38

Once we have the standard errors, we can calculate the z-value using the formula:

z = (Sample Mean (a) - Sample Mean (b)) / Square Root of (Standard Error (a)^2 + Standard Error (b)^2)

Plugging in the values from the question, we get:

Standard Error (a) = 1.36 / Square Root of 50 = 0.192

Standard Error (b) = 1.06 / Square Root of 38 = 0.172

z = (8.05 - 7.26) / Square Root of (0.192^2 + 0.172^2) = 2.30

Therefore, the test statistic (z-value) for alpha = 0.10 would be 2.30.