Nicole ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00. Nicole’s mother said that she would pay for the order with her credit card if Nicole gave her the money. Nicole gave her mother $40.00. Her mother also applied the money that she owed Nicole for babysitting. Nicole’s mother then gave her back $5.26. How much did Nicole’s mother owe her for babysitting?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).