Malia ran 7/12 of a mile. Shona ran 3/4 of a mile. Who ran further?
2 answers:
Answer:
Shona
Step-by-step explanation:
Both fractions have different denominators. To get a better picture of who ran further, let's have both fractions have the same denominator.
Let's convert the smaller denominator to the bigger one.
In order to do this, we will multiply top and bottom by 3:
Now, we compare the two fractions by seeing which numerator is closer to denominator.
From this comparison, the converted fraction, is closer to 12.
Therefore, Shona ran further.
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Answer:
a)
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
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.