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Alisiya [41]
3 years ago
13

Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site

stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 17 users. Assume normality. Assume normality.
1.2
2.8
1.5
19.3
2.4
0.7
2.2
0.7
18.8
6.1
6
1.7
29.1
2.6
0.2
10.2
5.1
0.9
8.2

Conduct the appropriate hypothesis test for Company B using a 0.08 level of significance.

1. What are the appropriate null and alternative hypotheses?

a. H0: μ = 10 versus Ha: μ ≠ 10
b. H0: μ = 10 versus Ha: μ > 10
c. H0: x = 10 versus Ha: x ≠ 10
d. H0: μ = 10 versus Ha: μ < 10


2. What is the test statistic? Give your answer to four decimal places.
3. What is the critical value for the test? Give your answer to four decimal places.
4. What is the appropriate conclusion?
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

H0 : μ = 10

H1 : μ < 10

Test statistic = - 2.0415

Critical value = -1.4051

There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes

Step-by-step explanation:

The null and alternative hypothesis :

H0 : μ = 10

H1 : μ < 10

The test statistic :

From the data Given, using calculator :

Sample mean, xbar = 6.3

Sample standard deviation, s = 7.90

Test statistic = (xbar - μ) ÷ (s/sqrt(n))

Number of samples given is 19 and not 17 as stated in the question.

Test statistic = (6.3 - 10) ÷ (7.90 / sqrt(19))

Test statistic = - 3.7 / 1.8123842

Test statistic = - 2.0415

The critical value for the test :

At α = 0.08 ;

Critical value = -1.4051

Since, Test statistic is < Critical value ;

-2.0415 < - 1.0451 ; we reject the Null

There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes

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lidiya [134]

Answer:

100+20π

Step-by-step explanation:

Find the diagram attached.

Perimeter of a square =4L

L is the side length of a square

From the diagram;

L = 10

Perimeter of a square = 4(10) = 40

Perimeter of 3 squares = 3(40) = 120

2 semi circle = a circle

Perimeter of a circle= 2πr

radius of the Circle = length of a side of the square.

Area of the circle = 2π(10)= 20π

Perimeter of the shape = Perimeter of the two semicircle + area of the 4squares = 100+20π

3 0
2 years ago
On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend conti
aleksklad [387]

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

6 0
3 years ago
Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of t
faust18 [17]

Step-by-step explanation:

Rate of drop of temperature = Change in temperature/Rate

=> (165 - 135)/15

=> 30/15

=> 2 ⁰F/min

Now, The time at which the temperature of will be 70⁰F = 70/Rate

=> 70/2

=> 35 min

Time for 110⁰ F

=> 110/2

=> 55 min

6 0
2 years ago
Rewrite the following equation in exponential form.
ira [324]

Answer:

5² = 25

Step-by-step explanation:

log5 25 = 2

log(b) (x) = (y)

make b^(y) = (x)

5² = 25

I hope this helps!

5 0
2 years ago
Question 2.
ipn [44]

Answer:

1) -0.669

2) -0.669

3) 0.669

Step-by-step explanation:

Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.

Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.

Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.

If theta=70:

1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.

2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.

3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.

3 0
3 years ago
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