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juin [17]
3 years ago
13

A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta

ndard deviation of 0.5. The distribution of number of movies watched per month follows the normal distribution. A random sample of 30 college students revealed that the mean number of movies watched last month was 7.3. At the 0.05 significance level, can we conclude that college
Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

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AleksandrR [38]

Her dad = 36

Sarah = 5

After 31 years sarah = 36

And her dad = 67

Answered by Gauthmath must click thanks and mark brainliest

4 0
3 years ago
Yolanda starts at the gym and works out a training plan. She wants to cycle a total of 120 miles. If she goes to the gym 3 times
choli [55]

Answer: 5 miles

Step-by-step explanation: If she goes 3 times a week for 8 weeks she goes for a total of 24 days. In those 24 days she wants to bike 120 miles. Divide 120 by 24. You get 5. Therefore she needs to bike 5 miles each day she goes to the gym to achieve her goal.

8 0
3 years ago
3) Write the inequality that
masha68 [24]

Answer:

  • See below

Step-by-step explanation:

Owing represent a negative balance.

<u>So the inequality for this case is:</u>

  • - 26.00 > - 147.00
3 0
2 years ago
The table of values represents the function t(x) and the graph shows the function g(x).
IrinaK [193]

Answer:

  The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

The table shows t(x) has two (2) x-intercepts: t(-3) = t(5) = 0. The graph shows g(x) has two (2) x-intercepts: g(1) = g(5) = 0. Neither function has fewer x-intercepts than the other.

The table shows the y-intercept of t(x) to be t(0) = 3. The graph shows the y-intercept of g(x) to be g(0) = -1. The y-intercepts are not the same, and that of t(x) is greater than that of g(x).

The table shows the maximum value of t(x) to be t(1) = 4. The graph shows the maximum value of g(x) to be g(3) = 2. Thus ...

  the maximum value of t(x) is greater than the maximum value of g(x)

8 0
3 years ago
100 points and brainliest for correct answer!
MatroZZZ [7]
Answer B.

∑fx=1637,∑fx
2
=127663,∑f=21
x
ˉ
=Mean=
∑t
∑fx
​
=77.95
σ
2
=
∑f
∑fx
2

​
−(
x
ˉ
)
2
=
21
127663
​
−(77.95)
2
=2.987
σ=1.728
4 0
2 years ago
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