What are the minimum, first quartile, 20 70 13 15 23 17 40 51

Mathematics

1 answer:

malfutka [58]4 years ago

7 0

Answer:

Minimum 13

First quartile 16

Step-by-step explanation:

Rewrite the sample 20 70 13 15 23 17 40 51 in ascending order:

13 15 17 20 23 40 51 70

The minimum is 13.

The median is the middle number

13 15 17 20 23 40 51 70

The middle number between 20 and 23 is

$\dfrac{20+23}{2}=21.5$

Consider first half of the sample

13 15 17 20

The first quartile is the middle number of this part. The middle number of

13 15 17 20

$\dfrac{15+17}{2}=16$

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Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 o

zhenek [66]

Answer:

The p-value would be 0.0939

Step-by-step explanation:

We can set a standard t-test for the Null Hypothesis that $H_0: 18.2\geq 17$

The test statistic then takes the form

$t=\frac{18.2-17}{3.9/\sqrt{15}}=1.317$

with this value we then can calculate the probability that is left to the right of this value $P(X>1.317)$ . From theory we know that t follows a standard normal distribution. Then $P(X>1.317)=0.0939$ which is smaller than the p-value set by Breyers of 0.10