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4 years ago

13

The actual weight of the instrument is 58kg and it’s measured weight is 54kg.Find the percent error in weight. A.)6.9% B.)7% C.)

7.4% D.)7.5%

1 answer:

Rasek [7]4 years ago

5 0

Answer:

A.) 6.9%

Step-by-step explanation:

1. Percent Error = (|lab-value- actual value|/actual value) * 100

(|54 kg - 58 kg|/58 kg) * 100

(0.069) * 100 (We multiply by 100 to convert decimal to percent)

Percent Error = 6.9%

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3 years ago

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4 years ago

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3 years ago

Read 2 more answers

The research department at the company took a sample of 25 comparable textbooks and collected information on their prices. This

Katarina [22]

Answer:

a) $\hat \mu = \bar X = 145$

b) $145-1.64\frac{35}{\sqrt{25}}=133.52$

$145+1.64\frac{35}{\sqrt{25}}=156.48$

So on this case the 90% confidence interval would be given by (133.52;156.48)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=145$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=35$ represent the population standard deviation

n=25 represent the sample size

a) For this case the best point of estimate for the population mean is the sample mean:

$\hat \mu = \bar X = 145$

b) Calculate the confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$145-1.64\frac{35}{\sqrt{25}}=133.52$

$145+1.64\frac{35}{\sqrt{25}}=156.48$

So on this case the 90% confidence interval would be given by (133.52;156.48)

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3 years ago