The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts. The truth-in-advertising investigators took a random sample (of size 20 lbs) of the nut mix and found the distribution to be as follows: 6 lbs of Cashews, 3 lbs of Brazil nuts, 5 lbs of Almonds and 6 lbs of Peanuts. At the 0.01 level of significance, is the claim made by Blue Diamond true?