Calvin thinks a certain potato chip maker is putting less product in their personal-sized bags of chips. in the past, these bags contained one ounce of product. calvin conducted a test of h0: μ=1vs. ha: μ< 1. from a random sample of 23 bags of potato chips he calculated a p - value of 0.086 for the sample.
(a) at a 5% level of significance, is there evidence that calvin is correct? (type yes or no):
(b) at a 10% level of significance, is there evidence that he is correct? (type yes or no):
t1 = 2d.
the explicit formula for an arithmetic series is
the nth term tn = t1 + d(n - 1) where t1 = the first term , d = common difference and n = term number.
so t17 = t1 + 17d - d = t1 + 16d
and t5 = t1 + 5d - d = t1 + 4d
so t1 + 16d = 3(t1 + 4d)
2t1 = 16d - 12d = 4d
t1 = 2d (answer).
recall the angle sum identities:
then the left hand side of the equation reduces significantly to give
in general, this occurs for and where is any integer. we get solutions in the interval for , for which we get
you bought a little bit less than you needed
so if it takes 7 yards to make three jackets and you have 15 yards this is what you have to do:
7 yards=3 jackets
7+7=14 so with 14 yards you can make 6 jackets
but you bought fifteen and 7 divided 3 equals 2.3 ( or what it takes to make one jacket)
so if you wanted to have exactly enough material to make 7 jackets you need 16.3 yards