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N76 [4]
2 years ago
13

In order to estimate the average time spent on the computer terminals per student at local university, data were collected for a

sample of 36 business students over a one-week period. The sample standard deviation is 1.8 hours. In order to construct a 90% t-based confidence interval for the population average time spent, the margin of error will be:
a) 0.1
b) 0.3
c) 0.4
d) 0.5
Mathematics
1 answer:
adoni [48]2 years ago
5 0

Answer:

Margin of Error = 0.5

Step-by-step explanation:

Using this formula Z (s/√n)

Where

S = 1.8----------------------------- Standard Deviation

n = 36 ----------------------------------Number of observation

Z = 1.645 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5% || 2.807

99.9%. || 3.291

Substituting these values in the formula

Margin of Error = 1.645 * (1.8/√36)

Margin of Error = 1.645 * (1.8/6)

Margin of Error = 1.645 * 0.3

Margin of Error = 0.4935

Margin of Error = 0.5 (Approximated)

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Read 2 more answers
Suppose that the functions r and a are defined for all real numbers x as follows. r(x)=2x-1 S(x)=5x write the expressions for (r
NeTakaya

\boxed{(r-s)(x)=-3x-1} \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x} \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Explanation:</h2>

In this exercise, we have the following functions:

r(x)=2x-1 \\ \\ s(x)=5x

And they are defined for all real numbers x. So we have to write the following expressions:

First expression:

(r-s)(x)

That is, we subtract s(x) from r(x):

(r-s)(x)=2x-1-5x \\ \\ Combine \ like \ terms: \\ \\ (r-s)(x)=(2x-5x)-1 \\ \\ \boxed{(r-s)(x)=-3x-1}

Second expression:

(r\cdot s)(x)

That is, we get the product of s(x) and r(x):

(r\cdot s)(x)=(2x-1)(5x) \\ \\ By \ distributive \ property: \\ \\ (r\cdot s)(x)=(2x)(5x)-(1)(5x) \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x}

Third expression:

Here we need to evaluate:

(r+s)(-2)

First of all, we find the sum of functions r(x) and s(x):

(r+s)(x)=2x-1+5x \\ \\ Combine \ like \ terms: \\ \\ (r+s)(x)=(2x+5x)-1 \\ \\ (r+s)(x)=7x-1

Finally, substituting x = -2:

(r+s)(-2)=7(-2)-1 \\ \\ (r+s)(-2)=-14-1 \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Learn more: </h2>

Parabola: brainly.com/question/12178203

#LearnWithBrainly

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