Question

*You have data from a sample of 65 workers
at a local factory who are full time employees. The mean systolic
blood pressure of this sample 120. You know that
the population standard deviation (?) of all workers' systolic
blood pressure at the local factory is
18."*

Which of the below represents the **best
interpretation** of the **95% confidence
interval** you calculated on the previous question for the
unknown population mean systolic blood pressure of local factory
workers who are full time employees?

***note: the actual values for the confidence interval
limits are left blank intentionally**

About 95% of local factory workers who are full time employees have a systolic blood pressure between ___ and ___. |

We are 95% confident that the unknown population mean systolic blood pressure of local factory workers who are full time employees falls between ___ and ___. |

It is guaranteed that the unknown population mean systolic blood pressure of local factory workers who are full time employees falls between ___ and ___. |

We are 95% confident that the sample mean systolic blood pressure of local factory workers who are full time employees falls between ___ and ___. |

Answer #1

we have x(bar) or sample mean = 120, sample size (n) = 65 andpopulation standard deviation()=18

we know that using the normal distribution, the z score for 95% confidence interval is 1.96

using the formula for the confidence interval

CI =

setting the given values, we get

CI =

this gives

CI = (115.62,124.38)

Since we are calculating the confidence interval for the unknown
population mean, so only **option B is matching with the
unknown population mean**

thus, the **final answer is option B**

**We are 95%
confident that the unknown population mean systolic blood pressure
of local factory workers who are full time employees falls between
115.62 and 124.38**

Can i please get detailed answer for this question from my
assignment. it has overall weightage of 9 marks. Thanks
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