Question

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 371 minutes and standard deviation 69 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 526 minutes and standard deviation 106 minutes. A researcher records the minutes of activity for an SRS of 6 mildly obese people and an SRS of 6 lean people.

(a) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes? (Enter your answer rounded to four decimal places.)

(b) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes? (Enter your answer rounded to four decimal places.)

Answer #1

a)

for normal distribution z score =(X-μ)/σ | |

here mean= μ= | 371 |

std deviation =σ= | 69.000 |

sample size =n= | 6 |

std error=σ_{x̅}=σ/√n= |
28.16913 |

probability
=P(X>410)=P(Z>(410-371)/28.169)=P(Z>1.38)=1-P(Z<1.38)=1-0.9162=0.0838 |

b)

here mean= μ= | 526 |

std deviation =σ= | 106.000 |

sample size =n= | 6 |

std error=σ_{x̅}=σ/√n= |
43.27432 |

probability
=P(X>410)=P(Z>(410-526)/43.274)=P(Z>-2.68)=1-P(Z<-2.68)=1-0.0037=0.9963 |

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 371 minutes and
standard deviation 69 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
526 minutes and standard deviation 106...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 365 minutes and
standard deviation 69 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
528 minutes and standard deviation 106...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 370 minutes and
standard deviation 65 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
523 minutes and standard deviation 106...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with mean 375
minutes and standard deviation 69 minutes. The mean number of
minutes of daily activity for lean people is approximately Normally
distributed with mean 526 minutes and standard...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 365 minutes and
standard deviation 69 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
528 minutes and standard deviation 106...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 367 minutes and
standard deviation 64 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
525 minutes and standard deviation 110...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 365 minutes and
standard deviation 69 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
528 minutes and standard deviation 106...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 365365 minutes
and standard deviation 6969 minutes. The mean number of minutes of
daily activity for lean people is approximately Normally
distributed with 528528 minutes and standard deviation 106106...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with 375 minutes and
standard deviation 67 minutes. The mean number of minutes of daily
activity for lean people is approximately Normally distributed with
523 minutes and standard deviation 107...

It appears that people who are mildly obese are less active than
leaner people. One study looked at the average number of minutes
per day that people spend standing or walking. Among mildly obese
people, the mean number of minutes of daily activity (standing or
walking) is approximately Normally distributed with mean 378
minutes and standard deviation 68 minutes. The mean number of
minutes of daily activity for lean people is approximately Normally
distributed with mean 524 minutes and standard...

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