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Natasha_Volkova [10]

3 years ago

10

Safety rent a car rents an intermediate size car at a daily rate of $21.95 plus $.19 per mile. City rentals rents an intermediat

e size car for $18.95 plus $.21 per mile. For what mileage is the cost the same?

1 answer:

Katen [24]3 years ago

7 0

So you can use

$21.95 + $.19x = $18.95 + $.21x

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A sample of 50 cotton threads shows the mean breaking strength to be 220 grams and the sample standard deviation to be 12 grams.

xenn [34]

Answer:

$220-2.01\frac{12}{\sqrt{50}}=216.589$

$220+2.01\frac{12}{\sqrt{50}}=223.411$

The confidence interval for this case would be (216.589, 223.411)

Step-by-step explanation:

Information given

$\bar X=220$ represent the sample mean

$\mu$ population mean

s=12 represent the sample standard deviation

n=50 represent the sample size

Confidence interval

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

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

The degrees of freedom are given by:

$df=n-1=50-1=49$

The Confidence level is 0.95 or 95%, the significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value for this case is $t_{\alpha/2}=2.01$

And replacing we got:

$220-2.01\frac{12}{\sqrt{50}}=216.589$

$220+2.01\frac{12}{\sqrt{50}}=223.411$

The confidence interval for this case would be (216.589, 223.411)

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