Name MATH 1342
Lab 12 - Ch.10 - Hypothesis Testing
Critical Thinking, Communication Skills, Empirical/Quantitative Skills
2. A machine is designed to fill jars with 16 ounces of coffee. A quality control inspector
suspects that the machine is not filling the jar with the full 16 ounces. A sample of 20 jars has
a mean of 15.8 ounces and a standard deviation of 0.32 ounce. Is there enough evidence to
support the inspector's claim that the mean number of ounces of coffee in the jars is less than
16? Use a = .05.
1.
Hand H
2.
3.
Critical value(s)
4.
Graph
5.
Test Statistic
6.
P-value
7.
Reject H. or Do Not Reject H.
8.
Conclusion

1 & 2:The null and alternate hypotheses are

H0 : u = 16 vs Ha: u < 16

The null hypothesis is that the mean is 16 ounces against the claim that it is less than 16 ounces.

3:The significance level is 0.05

4. Critical Value:

The critical region for significance level = 0.05  for one tailed test is z< ± 1.645

5.The test statistic

The test statistic to be used is

z= x- μ/σ/√n

z= 15.8-16/0.32/√20

z= -0.2/ 0.071556

z= -2.7950

6. The p-value ≈ 0.00259 for one tailed test.

7. Reject H0

Since the calculated value of z= -2.7950 is less than z∝= -1.645  we reject the null hypothesis.

8. Conclusion:

There is enough evidence to  support the inspector's claim that the mean number of ounces of coffee in the jars.

Graph

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

4th option is correct xy=-10

if this was to u plzz mark me the brainliest