Acredit reporting agency claims that the mean credit card debt in a town is greater than $3500. a random sample of the credit card debt of 20 residents in that town has a mean credit card debt of $3600 and a standard deviation of $391. at α=0.10, can the credit agency’s claim be supported, assuming this is a normally distributed data set?

Claim is false

Step-by-step explanation:

Claim : A credit reporting agency claims that the mean credit card debt in a town is greater than $3500.

n = 20

Since n <30

So we will use t test

Formula :

s = standard deviation = 391

x = 3600

n = 20

Degree of freedom = n-1 = 20-1 = 19

α=0.10

So, using t table

= 1.72

t critical > t calculated

So we accept the null hypothesis

Hence we reject the claim that the mean credit card debt in a town is greater than $3500.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

x = 3 ± √(5+y)