Answer:
a) ![[-0.134,0.034]](https://tex.z-dn.net/?f=%5B-0.134%2C0.034%5D)
b) We are uncertain
c) It will change significantly
Step-by-step explanation:
a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.
Since we assume that the variances are equal, we use the pooled variance given as
,
where 
.
The mean difference 
.
The confidence interval is
![= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]](https://tex.z-dn.net/?f=%3D%20-0.05%5Cpm%201.995%20%5Ctimes%200.042%20%3D%20-0.05%20%5Cpm%200.084%20%3D%20%5B-0.134%2C0.034%5D)
b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.
c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.
Answer:
Improper fraction = 10/3 cups
Mixed fraction = 3 1/3 cups
Step-by-step explanation:
Given;
Sam uses 2/3 cup of sugar to make cookies
Rate = 2/3 cup per batch
To make 5 batches, he would need;
Amount = number of batches × rate per batch
Amount = 5 batches × 2/3 cups per batch
Amount of sugar he would need = 10/3 or 3 1/3 cups
Answer:
If all other factors are controlled, and the only variable being changed is the new medication, then Byron can conclude that the new medication is effective at reducing coughing. This can be further tested by repeated experiments by peers.
Step-by-step explanation:
To find the area, use A= bh (base x height), or A = lw (length x width)
There are 3 feet in 1 yard
3 x 5 = 15
4 x 3 = 12
15 x 12 = 180
The flower bed is 180 ft²
hope this helps
Answer: Delete the point (0, 4)
<u>Step-by-step explanation:</u>
Your line for y = (1/3)x + 4 is correct.
m=1/3 b=4
Start at (0, 4) and draw a line through a point up 1 and 3 to the right (3, 5).
Your line for x = 6 is correct.
A vertical line through (6, 0), (6, 1), (6, 2), ...
Your point for (6, 6) is correct.
x=6, y=6
Your error is that you used the dot tool to plot a point for (0, 4). You DO need this point to create the line y = (1/3)x + 4, however the instructions do not state to mark this coordinate with a dot.
