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sergejj [24]
3 years ago
14

Adele started her homework at 9:10.She finished at 9:45.How long did she spend on her homework

Mathematics
2 answers:
N76 [4]3 years ago
6 0
She spent 35 minutes doing her homework.
Juli2301 [7.4K]3 years ago
3 0
30 minutes is the answer
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Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h
irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = <u><em>population proportion.</em></u>

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, H_0 : p = 0.70      {means that the population proportion is equal to 0.70}

Alternate Hypothesis, H_A : p < 0.70      {means that the population proportion is less than 0.70}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                           T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion = 0.63

            n = sample of observations = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }

                                     =  -1.528

The value of z-test statistics is -1.528.

<u>Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.</u>

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

4 0
3 years ago
Morgan uses 2 oz of dog shampoo to bathe her dog each week. After 4 wk, 34 oz of shampoo remains.
Flauer [41]
The amount of shampoo required by Morgan each week to bathe her dog = 2 oz
So
The amount of shampoo required by Morgan in 7 days to bathe her dog = 2 oz
The amount of shampoo remaining after 4 weeks = 34 oz
So the amount of shampoo remaining after (4 * 7) days = 34 oz
The amount of shampoo remaining after 28 days = 34 oz
The amount of shampoo that Morgan uses in 28 days = (2/7) * 28 oz
                                                                                      = 2 * 4 oz
                                                                                      = 8 oz
Then
8 oz of shampoo is required by Morgan in = 28 days
Then
34 oz of shampoo will be used in = (28/8) * 34 days
                                                      = 7 * 17 days
                                                      = 119 days
So
The total number of
days before the bottle becomes empty = 119 + 8 oz
                                                               = 127 days
6 0
3 years ago
60% of what number is equal to 30?<br> A) 0.5 B) 2 C) 18 D) 50
Arada [10]

Answer:

D. 50

Step-by-step explanation:

50/1 (60/100) =

3000/100 =

30/1 =

30

7 0
3 years ago
Read 2 more answers
2.0 x 10³ =<br> Write this number in standard notation
shusha [124]

Answer:

2(10x10x10)

Step-by-step explanation:

3 0
3 years ago
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Decide if each value is a solution of the inequality 2y&lt;_8
Mice21 [21]

Answer:

Only 4 is the right answer. The rest all are false.

8 0
2 years ago
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