manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433.0 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 431.0 grams. A level of significance of 0.1 will be used. Is there sufficient evidence to support the claim that the bags are underfilled

Since the calculated value of Z= -0.01871 does not lie in the critical region

Z ≥ Z∝ =± 1.28 we conclude that the null hypothesis is true and there is not sufficient evidence to support the claim that the bags are under filled.

Step-by-step explanation:

We formulate hypotheses as

H0: u < 433.0   against  the claim  Ha: u ≥ 433.0  ( one sided)

The significance level ∝= 0.1

Since the sample size n= 40 is greater then 30 z test is used.

Z = X`- u/ S/ √n

Z= 431.0- 433/ 676/√40

z= -2/106.8859

Z= -0.01871

The critical region is Z ≥ Z∝ =± 1.28 for one tailed test at alpha= 0.1

Since the calculated value of Z does not lie in the critical region we conclude that the null hypothesis is true and there is not sufficient evidence to support that the bags are under filled.

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3