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MAXImum [283]
3 years ago
8

Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar

d deviation of 0.75 hours. You survey a SRS of 100 adult Americans and determine that the mean sleep time is 5 hours. Which Hypothesis Test should be used here
Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer: One sample z test for means

Step-by-step explanation:

From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

The probability value would be determined from the normal distribution table.

Therefore, the hypothesis test that should be used is

One sample z test for means

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Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Irina18 [472]

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = \frac{2}{3}

(x, y) → (\frac{2}{3}x, \frac{2}{3}y)

By this rule coordinates of the image points of A and B will be,

A(8, 6) → A'(\frac{2\times 8}{3},\frac{2\times 6}{3})

           → A'(5.3, 4)

B(12, 12) → B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of \frac{2}{3}.

5 0
2 years ago
If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What i
nadya68 [22]

Answer:

  • 12 students

Step-by-step explanation:

<u>Below numbers are divisible by the number of students:</u>

  • 28 - 4 = 24
  • 39 - 3 = 36

<u>Lets find GCF of 24 and 36:</u>

  • 24 = 2*2*2*3
  • 36 = 2*2*3*3
  • GCF(24,36) = 2*2*3 = 12

The largest possible number of students is 12

7 0
2 years ago
if 96 people were surveyed how many people voted woodpecker than for pelican? pelican=5/12 woodpecker =7/12
Marina CMI [18]
So first you would put these over a common denominator which is 96. You get this by multiplying by 9 and what you do to the denominator you must do to the numerator so you then get 45/96 and 63/96. Pelicans=45/96. Woodpeckers=63/96

6 0
3 years ago
What is the median of the data? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 A. 15 B. 17 C. 14 D. 16
I am Lyosha [343]
All you need to do is put them in order least to great and find center number
if theres two then you just add both of them up and divide by 2
 and the median is 14
6 0
3 years ago
Read 2 more answers
Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100
kolbaska11 [484]

Answer:

85%


Step-by-step explanation:


8 0
3 years ago
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