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.

Kindly check explanation

Step-by-step 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

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west