Mathematics, 22.04.2020 03:17, krlx

A person's blood pressure is monitored by taking 6 readings daily. The probability distribution of his reading had a mean of 130 and a standard deviation of 8. a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the six observations each day. b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? c. Refer to (b). Find the probability that the sample mean exceeds 140.

Answers: 3

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answered: kittycatwaffels

a) For this case we have the following info:

$\mu = 130 , sigma= 8$

And we select a sample size of 6. Assuming that the data can be approximated to a normal distribution the sample mean have the following parameters:

$\mu_{\bar X} = 130$

$\sigma_{\bar X} = \frac{8}{\sqrt{6}}=3.266$

b) For this case assuming a nomal distribution then the sample mean have the following distribution:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

c) $P(\bar X140)$

And we can use the z score formula given by:

$z = \frac{140-130}{\frac{8}{\sqrt{6}}}= 3.062$

And using the complement rule we have:

P(Z3.062) =1-P(Z

Step-by-step explanation:

Part a

For this case we have the following info:

$\mu = 130 , sigma= 8$

And we select a sample size of 6. Assuming that the data can be approximated to a normal distribution the sample mean have the following parameters:

$\mu_{\bar X} = 130$

$\sigma_{\bar X} = \frac{8}{\sqrt{6}}=3.266$

Part b

For this case assuming a nomal distribution then the sample mean have the following distribution:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Part c

We want this probability:

$P(\bar X140)$

And we can use the z score formula given by:

$z = \frac{140-130}{\frac{8}{\sqrt{6}}}= 3.062$

And using the complement rule we have:

P(Z3.062) =1-P(Z

answered: Guest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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