Question

At the bakery where you work, loaves of bread are supposed to weigh 1 pound, with a standard deviation of 0.13 pounds. You believe that the new personnel are producing loaves that are heavier than 1 pound. As supervisor of Quality Control, you want to test your hypotheses at the 5% level of significance. You weigh 20 loaves and obtain a mean weight of 1.05 pounds.

1. Identify the population and parameter of interest. State your null and alternative hypotheses.
2. Identify the statistical procedure you should use. Then state and verify the conditions required for using this procedure.
3. Calculate the test statistic and the P-value. Illustrate using the graph provided.
a. .50
b. -3.0
c. 3.0
d. -.50
4. State your conclusions clearly in complete sentences.

Answer 1

Kindly check explanation

Explanation:

Given that:

H0 : μ = 1

H1 : μ > 1

Sample size, n = 20 ; xbar = 1.05; Standard deviation, s = 0.13

Test statistic;

t because sample size is < 30

(xbar - μ) ÷ (s/sqrt(n))

(1.05 - 1) ÷ (0.13 / sqrt(20))

0.05 ÷ 0.0290688

= 1.7200572

Using a p value calculator :

With alpha = 0.05 ; df = n - 1 = 20 - 1 = 19

P value = 0.05084

P value > alpha

We fail to reject H0

There is not sufficient evidence to support that the new personnel are producing loaves that are heavier than 1 pound