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Vinvika [58]
3 years ago
11

The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the c

ars. The confidence interval based on the paired design is wider because there is little variation in mileage between the cars. The confidence interval based on the two-sample design is wider because there is little variation in mileage between the cars. The confidence interval based on the paired design is wider because there is considerable variation in mileage between the cars.
Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.

Step-by-step explanation:

The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.

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While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem
Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

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

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

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 faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0
4 years ago
If x =-7 find value of these expression
Oksana_A [137]
X=1 because -7 times 1 = -7
6 0
4 years ago
An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?
Tresset [83]

Answer:

42 degrees, and 48 degrees

Step-by-step explanation:

set up an equation to find x, the first angle measure

(x+6)+x=90

then simplify:

2x+6=90

2x=84

x=42

So, the first angle measure is 42, now to find the second angle measure, add 6 to 42, and you will get 48.

8 0
4 years ago
Read 2 more answers
1/7 rounded to 2 decimal places
dmitriy555 [2]

Answer:

0.14

Step-by-step explanation:

1/7 = 0.142

Since 2<5 the answer is 0.14.

5 0
3 years ago
The quotient of 24 and a number is 6.
Flauer [41]

The answer will be: 4

24 / 6 = 4

6 0
4 years ago
Read 2 more answers
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