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natta225 [31]
3 years ago
6

A recent national survey found that high school students watched an average (mean) of 7.2 movies per month with a population sta

ndard deviation of 1.0. The distribution of number of movies watched per month follows the normal distribution. A random sample of 49 college students revealed that the mean number of movies watched last month was 6.5. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?
1. State the null hypothesis and the alternate hypothesis. A. H0: μ ≥ 7.2; H1: μ < 7.2
B. H0: μ = 7.2; H1: μ ≠ 7.2
C. H0: μ > 7.2; H1: μ = 7.2
D. H0: μ ≤ 7.2; H1: μ > 7.2
2. State the decision rule.
A. Reject H1 if z < –1.645
B. Reject H0 if z > –1.645
C.Reject H1 if z > –1.645
D. Reject H0 if z < –1.645
3. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Value of the test statistic______________?
4. What is the p-value? (Round your answer to 4 decimal places.) ________________?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

Download docx
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Rom4ik [11]
Assuming it's just wanting to know what -4+or- sqrt(26):

adding: x= 1.1
subtracting: x=-9.1

Hope this helped!
4 0
3 years ago
Write the product as a sum: 14cos(39x)sin(19x)
charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
3 years ago
The pressure of a gas p(v) varies inversely with the volume of gas v. the pressure of a gas measures 8kg/cm^2 when its volume is
Artist 52 [7]

Answer:

B

Step-by-step explanation:

Since p and v vary inversely then the equation relating them is

p = \frac{k}{v} ← k is the constant of variation

to find k use the condition p = 8 when v = 40

k = pv = 8 × 40 = 320

⇒ p(v) = \frac{320}{v} → B


7 0
3 years ago
Read 2 more answers
Guys do you know this?
TEA [102]

Answer:

That would be 2/7

Step-by-step explanation:

Using substitution. x^2 +x+1 at 1 is 7

sqrt4 is 2

2/7

6 0
3 years ago
A cylinder has a surface area of 224 pie square meters and a diameter of 14 meters. Find the height of the cylinder.
inna [77]

Answer: 9 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

Surface area if a cylinder (S)= 2 π r2 + 2 π r h

Where r is the radius and h is the height

Diameter is equal to 2r , so in our case:

14 =2r

r = 14/2 = 7 meters

Replacing with the values given and solving for h:

224 pi = 2 π 7^2 + 2 π 7 h

224 π - 2 π 7^2 / 2 π 7= h

703.71 -307.87 /43.98 = h

9 = h

7 0
4 years ago
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