Question

A baker produces 500 loaves a day. On Monday, 50 loaves did not meet quality standards. The baker generates a random sample to simulate 10 loaves to inspect on Tuesday. The integers 1 to 50 represent sub-standard loaves.

351 207 148 428 272
121 47 205 56 4
Based on this sample, how many loaves will not meet quality standards on Tuesday?

What is the difference between the number of sub-standard loaves produced on Monday and the number predicted to be sub-standard on Tuesday?

Answer 1

To determine how many loaves will not meet quality standards on Tuesday, we need to count the number of integers in the sample that are between 1 and 50, inclusive. From the given sample, we can see that there are 2 integers that fall between 1 and 50: 47 and 4. Therefore, we can predict that 2 loaves will not meet quality standards on Tuesday.

To calculate the difference between the number of sub-standard loaves produced on Monday and the number predicted to be sub-standard on Tuesday, we need to subtract the number of sub-standard loaves on Monday from the number predicted for Tuesday.

Number of sub-standard loaves on Monday = 50

Number predicted to be sub-standard on Tuesday = 2

Difference = 2 - 50 = -48

The difference is -48, which means that there were 48 fewer sub-standard loaves predicted on Tuesday than the number produced on Monday.