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shtirl [24]
3 years ago
9

A rental car company claims the mean time to rent a car on their website is 60 seconds with a standard deviation of 22 seconds.

A random sample 36 customers attempted to rent a car on the website. The mean time to rent was 55 seconds. Is this enough evidence to say that the mean time is less than the company's claim? Consider α=0.05.
Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

Answer:

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

Step-by-step explanation:

State the null hypothesis

H0: u = 60against the claim

Ha u≠   60   (this is a two tailed test)

Sample size n= 36

Sample mean=X`= 55

Population mean = u= 60

The significance level α = 0.05

Standard deviation= Sd = 22 seconds

Z= X`- u / Sd /√n

Z= 55- 60 / 22/√6

z= - 5/22/6

Z= -1.3635

The value of z from the table is Z∝/2= ±1.96

The critical region is less than - 1.96 and greater than 1.96.

Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds

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If SV⊥RT, m∠RSU = (17x – 3)°, and m∠UST = (6x – 1)°, find TSV
goblinko [34]

Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

<h3>How to Apply the Linear Pair Theorem?</h3>

Given the following angles in the image above:

Measure angle RSU = (17x - 3)°,

Measure angle UST = (6x – 1)°

To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:

m∠RSU + m∠UST = 180 degrees (linear pair]

Substitute the values

17x - 3 + 6x - 1 = 180

Solve for x

23x - 4 = 180

23x = 180 + 4

23x = 184

x = 8

m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]

m∠TSV = 180 - 2(6x - 1)

Plug in the value of x

m∠TSV = 180 - 2(6(8) - 1)

m∠TSV = 86°

Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

Learn more about the linear pair theorem on:

brainly.com/question/5598970

#SPJ1

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1 year ago
Solve the equality for z z+8&gt;12 Simplfy your answer as much as possible
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Once a line of best fit has been placed upon a scatter graph it is straightforward to find the equation. The general equation of a straight line is: y = mx + c Where m is the slope (gradient) of the line and c is the y-intercept.

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Step-by-step explanation:

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