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Colt1911 [192]
1 year ago
6

"The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, a

nd study habits of students. Scores range from 0 to 200, with 200 being the highest level of motivation. The mean score for U.S. college students is about 115, and the standard deviation is about 30. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 30 students who are at least 29 years of age, and their mean was 135.2"
Calculate the observed test statistic (Zobt or Tobt) for hypothesis test. Round up to the second decimal place.
Mathematics
1 answer:
vfiekz [6]1 year ago
5 0

Using the z-distribution, the observed test statistic is given as follows:

z = 3.69.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if older students have the same mean as the general population, that is:

H_0: \mu = 115

At the alternative hypothesis, it is tested if they have a greater mean, that is:

H_0: \mu > 115

<h3>What is the test statistic?</h3>

The test statistic is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

In which:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

For this problem, the parameters are:

\overline{x} = 135.2, \mu = 115, \sigma = 30, n = 30

Hence the test statistic is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{135.2 - 115}{\frac{30}{\sqrt{30}}}

z = 3.69.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

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Answer:

<em>r=3x</em>

Step-by-step explanation:

<u>The Volume of a Cone</u>

The volume of a cone of radius r and height h is:

\displaystyle V=\frac{1}{3}\pi hr^2

We are given the volume of a cone is

V=3\pi x^3

Equating:

\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3

Multiplying by 3:

\pi hr^2=9\pi x^3

Simplifying by pi:

hr^2=9 x^3

Since h=x:

xr^2=9 x^3

Dividing by x:

r^2=9 x^2

Taking square roots:

r=\sqrt{9 x^2}=3x

Thus: r=3x

5 0
3 years ago
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Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the
Dominik [7]
G=37

Angle ACD and angle DCB are a linear pair. Meaning they are supplementary.

ACD=90 degrees

180-90=90

90 degrees equals the angle of DCB.

90-53=37

So g=37
3 0
3 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x
cricket20 [7]

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x + y = 24

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Try elimination.

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So, we have 10  3-point problems  and 14 5-point problems.

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