The table shows the price for different numbers of icecream treats: Number of Icecream Treats Price(in dollars)
2 6
5 15
7 21
12 36

Does this table of numbers represent a proportional relationship? (5 points)

a
Yes, because the price is 3 times the number of icecream treats

b
Yes, because 3 times the price is the number of icecream treats

c
No, because the price of 5 icecream treats should be $12 and not $15

d
No, because the price of 12 icecream treats should be $48 and not $36

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).