Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variation from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91 Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? State the hypothesis you will test. Calculate the test statistic. Find the P-value. What is the conclusion?

Following are the solution to the given question:

Step-by-step explanation:

Performance of the student's t-test as

n<30

Calculating the Null hypothesis:

Calculating the Alternative Hypothesis:

Calculating the level of significance

Calculating the test statistic:

Because of the population standard deviation, perform z test

Decision:

Comparison of p-value test statistics and decision-making.

Hypothesis P<0.05 Reject.

P>0.05 No hypothesis rejecting zero.

P-Value = 0.907653.

At p<0.05 the result is not significant.

Null hypothesis not to be rejected.

Accepting the null hypothesis.

Conclusion:

Its assertion that the containers were not refilled appropriately by the specified amount of 6 ounces/bottle doesn't contain substantial proof. Bottles with mean = 6 ounces are suitably filled.

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.