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2 years ago

Dukes science quiz scores are 99,91,60,94,and 95 . Describe the effect of the outlier on the mean and median

Mathematics

2 answers:

lilavasa [31]2 years ago

3 0

I don't know the effect, but I can tell you the outlier, mean, and the median.
Outlier: 60
Mean: 87.8
Median: 60

Goryan [66]2 years ago

3 0

Solution:

we are given that

Dukes science quiz scores are 99,91,60,94,and 95 .

we have been asked to describe the effect of the outlier on the mean and median.

Mean of the given data $=\frac{99+91+60+94+95}{5} \\$

Mean of the given data $=\frac{439}{5}=87.8 \\$

Median of the given data after arranging in the ascending order 60,91,94,95,99 is 94.

The outlier is 60.

The outlier is decreasing the value of Mean by $87.8-60=27.8\\$

The outlier is decreasing the value of Median by $94-60=34\\$

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2 years ago

Read 2 more answers

A process that produces bottles of shampoo, when operating correctly, produces bottles whose contents weight, on average, 20 oun

valentinak56 [21]

Answer:

a. Descriptive statistics for the sample.

n= 9

mean X[bar]= 20.36

median Me= 20.30

min: 19.70

max: 21.40

standad deviation S= 0.61

b. 95% Confidence interval [19.88; 20.83]

c. Decision: Support H₀

Step-by-step explanation:

Hello!

I don't have excel so I cannot install PHstat, I've used a statistic software called Infostat for the calculations.

There was a random sample of 9 bottles of shampoo taken to test if the process is operating correctly. If it is, the bottles should weight on average 20 ounces (this would be our study parameter)

The study variable is X: the weight of a bottle of shampoo.

X~N(μ;σ²)

Descriptive statistics for the sample.

n= 9

mean X[bar]= 20.36

median Me= 20.30

min: 19.70

max: 21.40

standad deviation S= 0.61

b. 95% Confidence interval.

Since the variable has a normal distribution and the population variance is unknown, the statistic to use to construct this interval is the Students t:

X[bar] ± $t_{n-1; 1- \alpha /2}$ * (S/√n)

20.36 ± $t_{8; 0.975}$ * (0.61/√9)

[19.88; 20.83]

c. You have to test the hypothesis that the production is operating correctly, if it is so, then:

H₀: μ = 20

H₁: μ ≠ 20

α: 0.05

The statistic value is t $_{H0}$ = 1.74

p-value: 0.1198

When you use the p-value to decide on a statistical hypothesis, you should always contrast it with the level of significance using the following rule:

If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since the p-value is greater than the significance level, you do not reject the null hypothesis. This means that the average weight of the shampoo bottles is 20 ounces, i.e. the process is operating correctly.

I hope it helps!

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2 years ago

Which function has a range of y < 3?

Setler79 [48]

Using a graphing tool

Let's graph each of the cases to determine the solution of the problem

case A) $y=3(2^{x})$