PSBSolarYT

04.05.2021 •

Mathematics

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Out of a randomly selected 1050 people from the population, how many of them would have an IQ between 87 and 95, to the nearest whole number?

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Ответ:

kaylaamberd

13.11.2022

Mathematics

Conclusion

The average rental rate in Hong Kong are higher than in Paris

Step-by-step explanation:

From the question we are told that

The sample size for Hong Kong is n_1 = 30

The mean for Hong Kong is $\mu_h = 1,114 \ m^2$

The standard deviation for Hong Kong is s = 230

The sample size for Paris is n_2 = 40

The mean for Paris is $\mu_p = 989 \ m^2$

The standard deviation for Paris is s_p = 195

The level of significance is $\alpha = 0.05$

The Null Hypothesis is

$H_o : \mu_1 - \mu_2 = 0$

The alternative hypothesis is

$H_a: \mu_1 - \mu_2 0$

The test statistics is mathematically represented as

$t = \frac{\mu _1 - \mu_2 - d }{\sqrt{(\frac{s^2}{n1} )+(\frac{(s_p^2}{n_2} )}}$

Substituting values

$t = \frac{1114 - 989 - 0 }{\sqrt{(\frac{230^2}{30} )+(\frac{(195^2}{40} )}}$

t = 2.399

Since the value of the test statistics is higher than the significance level then there is enough evidence to conclude that the average rental rate in Hong Kong are higher than in Paris

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Out of a randomly selected 1050 people from the population, how many of them would have an IQ between 87 and 95, to the nearest whole number?​