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bagirrra123 [75]
3 years ago
10

You want to invest in companies belonging to Gispa Group of

Mathematics
1 answer:
Leviafan [203]3 years ago
4 0

Answer:

1.2803

Step-by-step explanation:

According to the Question,

  • Given That, You want to invest in companies belonging to Gispa Group of 1  Companies, Inc. so you did some research and found out that companies belonging to this group have an average gain of 0.8 percent and a standard deviation of 0.7 percent.
  • And, a positive percent (gain) means profit and a negative percent means a loss. If you choose 20 companies.

Therefore, We have Average Gain(ц) = 0.8%

Standard deviation(σ) = 0.7%

Number of Companies(n) = 20

  • So, the probability that the companies are gaining more than  1  percent is

X_{i} = (σ² × n) / ц  ⇒  (0.7²×20) / (0.8*10) = 1.2803

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z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

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p_v =2*P(z  

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Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

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Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

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