All categories

3 years ago

Hank's speedometer reads 60 miles per hour, but during a road test he finds that he

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

5 0

Answer:

percentage error = 7.14%

Step-by-step explanation:

Hank's speedometer reads 60 miles per hour, but during a road test he finds the he was actually driving 56 mph.

estimated/ read value = 60 miles per hour

actual value/correct value = 56 miles per hour

error = estimated or read value - correct value/actual value

error = 60 - 56 = 4 mph

percentage error = error / correct value × 100

percentage error = 4/56 × 100

percentage error = 400/56

percentage error = 7.1428571429%

percentage error = 7.14%

skad [1K]3 years ago

4 0

Answer:

-6.6666666666667%

Step-by-step explanation:

Subtract the accepted value from the expiremental value

56 - 60/60 = -4/60

Divide the answer by the accepted value

-4/60 = -6.6666666666667%

Remove the negative symbol

6.6666666666667%, the answer is 6.6666666666667%

You might be interested in

A manufacturer of a new medication on the market for Alzheimer's disease makes a claim that the medication is effective in 65% o

NeX [460]

Answer:

$z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

$\hat p=\frac{115}{180}=0.639$ estimated proportion of adults with the medication was effective

$p_o=0.65$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:

Null hypothesis: $p \geq 0.65$

Alternative hypothesis: $p < 0.65$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

3 0

3 years ago

In the diagram below, is an altitude of DEF. What is the length of ? If necessary, round your answer to two decimal places.

padilas [110]

I hope this helps you