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Citrus2011 [14]
3 years ago
10

Hamid has gained weight.

Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

So, his normal weight is <u>80 kg</u>

Step-by-step explanation:

Let his normal weight be x

If the normal weight               increasing percent         now weighs

       100                                               10                                 110

         x                                                  10                                88

Now we can get a equation as,

100 = 110\\x    = 88

We can write this as a fraction

\frac{100}{x}  = \frac{110}{88}

You can use cross multiplication to solve this

88*100=110x\\8800=110x\\\frac{8800}{110} =\frac{110x}{110} \\80kg = x

Hope this helps you.

Let me know if you have any other questions :-)

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For the following hypothesis test, H0: μ ≥ 150Ha: μ &lt; 150​the test statistic a. must be positive. b. must be negative. c. can
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Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation      

\bar X represent the sample mean    

s represent the standard deviation for the sample      

n sample size      

\mu_o =150 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:      

Null hypothesis:\mu \geq 150      

Alternative hypothesis:\mu < 150      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

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Step-by-step explanation:

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Complete parts ​(a) through ​(c) below.
Yuki888 [10]

Answer:

a)t_{crit}= 1.34

b) t_{crit}=-2.539

c) t_{crit}=\pm 2.228

Step-by-step explanation:

Part a

The significance level given is \alpha=0.1 and the degrees of freedom are given by:

df = n-1= 15

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

t_{crit}= 1.34

Part b

The significance level given is \alpha=0.01 and the degrees of freedom are given by:

df = n-1= 20-1=19

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

t_{crit}=-2.539

Part c

The significance level given is \alpha=0.05 and \alpha/2 =0.025 and the degrees of freedom are given by:

df = n-1= 11-1=10

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

t_{crit}=\pm 2.228

4 0
3 years ago
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