Inspite of giving special consideration to a particular employee, Jack consults everyone before taking any decision regarding the changes in the company's policy.

3 0

3 years ago

Read 2 more answers

Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a v

Veronika [31]

Answer:

$\text {CI} = (60.54, \: 81.46)\\\\$

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

Step-by-step explanation:

Let us find out the mean savings for a televisit to the doctor from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

$\bar{x} = \$71$

Let us find out the standard deviation of savings for a televisit to the doctor from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

$s = \$ 22.35$

The confidence interval is given by

$\text {confidence interval} = \bar{x} \pm MoE\\\\$

Where the margin of error is given by

$$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sample of 20 online doctor visits, s is the sample standard deviation and $t_{\alpha/2}$ is the t-score corresponding to a 95% confidence level.

The t-score is given by is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 20 - 1 = 19

From the t-table at α = 0.025 and DoF = 19

t-score = 2.093

So, the margin of error is

$MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\MoE = 2.093\cdot \frac{22.35}{\sqrt{20} } \\\\MoE = 2.093\cdot 4.997\\\\MoE = 10.46\\\\$

So the required 95% confidence interval is

$\text {CI} = \bar{x} \pm MoE\\\\\text {CI} = 71 \pm 10.46\\\\\text {CI} = 71 - 10.46, \: 71 + 10.46\\\\\text {CI} = (60.54, \: 81.46)\\\\$

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

7 0

3 years ago

Max is saving to buy a bicycle. The bicycle he wants costs $150.00. Max has already saved $95.00. Write an equation that can be

Setler [38]

1. For the first question, asking to write an equation for how much more Max needs to save up, It would simply be 95.00 + n = 150.00.
This is because he has $95 and needs $n more to get to the final amount of $150.

2. For the second question, asking which number being substituted for n makes the equation true, isolate n in the equation to find what it equals. To do this, subtract 95 from both sides.
95 + n - 95 = n < This isolates the variable.
150 - 95 = 55
This means n = 55 (fifty five)

3. The inequality is a bit more complicated since it says less than $5 per week. The way I'd do it would get some kind of answer but because I haven't done inequalities like this in a while, I unfortunately can't help you with this part. I can say, however, that it more than likely has something to do with being between two values, but I'm not sure. Sorry for the inconvenience.

5 0

3 years ago