Executives at Sale Mart Supermarket claim that a typical family of four spends $200 weekly on routine, non-holiday, grocery purchases.According to published industry standards, the population standard deviation is $25.

Stanley, another stats intern at corporate headquarters, wonders if that original claim by the executives is too high.As a project, she collects from store sales receipts a simple random sample (SRS) of size 100.The sample mean for the weekly grocery purchases for a family of four is $197.He is defining as rare, or unusually low, any sample mean that is in the bottom 10% of all possible sample means; hence, he is testing at the10%level of significance.What conclusion should Stanleydraw, based on the available evidence?

What is the p-value,expressed as a percentagerounded to two decimal places without insignificant digits?

Answer:

Stanley, another stats intern at corporate headquarters, wonders if that original claim by the executives is too high.As a project, she collects from store sales receipts a simple random sample (SRS) of size 100.The sample mean for the weekly grocery purchases for a family of four is $197.He is defining as rare, or unusually low, any sample mean that is in the bottom 10% of all possible sample means; hence, he is testing at the10%level of significance.What conclusion should Stanleydraw, based on the available evidence?

How does the left-tailed p-value compare against the level of significance, alpha, under the standard normal graph?

Thep-valueis less than or does not exceed the level of significance,