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Setler [38]
2 years ago
5

Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. T

he mean number of hours was 2.8 with a standard deviation of 2.6. A sociologist claims that people watch a mean of 3 hours of TV per day. Do the data provide sufficient evidence to conclude that the mean hours of TV watched per day is less the claim? Use the a=0.5 level of significance and the P-value method with the TI-84 Plus calculator.
(a) State the appropriate null and alternate hypotheses.

H0: Mu = 3
H1: Mu < 3

This hypothesis test is a _____ test.

(b) Compute the P-value. Round the answer to at least four decimal places

P-value =
Mathematics
1 answer:
garik1379 [7]2 years ago
3 0

Answer:

a) Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

This hypothesis test is a left tailed test.

b) t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784  

The p value for this case can be calculated with this probability:  

p_v =P(z  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value \mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310 and for the alternative we select < \mu_o. Then press Calculate.

And we got the same results.  

Step-by-step explanation:

Information given

\bar X=2.8 represent the sample mean

s=2.6 represent the population standard deviation  

n=1310 sample size  

\mu_o =3 represent the value to test

\alpha=0.5 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:  

Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784  

The p value for this case can be calculated with this probability:  

p_v =P(z  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value \mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310 and for the alternative we select < \mu_o. Then press Calculate.

And we got the same results.  

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enyata [817]

Answer:$382

Step-by-step explanation:

To get The interest for 4 years

Amount*rate*time*duration

165*0.0275*12*4=$217

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A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches.
emmainna [20.7K]

Answer:

Option C is correct

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Step-by-step explanation:

Volume of the cylinder is given by:

V =\pi r^2h

Where

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r is the radius

h is the height of the cylinder respectively

As per the statement:

A thermos in the shape of a cylinder is filled with coffee.

the height of the cylinder is 12 inches and its radius is 2 inches

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Substitute the given values and use \pi = 3.14 in [1]

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Therefore, the volume of coffee in the thermos is, 150.8 cubic inches

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VERY VERY EASY!! PLEASE HELP!! <br> Find the area of the figure.
Rus_ich [418]

Answer:

126.5

Step-by-step explanation:

Divide the shape into two, so you have a triangle and a rectangle.

Area of Rectangle:

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Add the two areas and the answer is 126.5

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2 years ago
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