an srs of 22 students at uh gave an average height of 5.6 feet and a standard deviation of .1 feet. construct a 90% confidence int

an srs of 22 students at uh gave an average height of 5.6 feet and a standard deviation of .1 feet. construct a 90% confidence interval for the mean height of students at uh. a) (4.100, 7.400) b) (5.428, 5.772) c) (5.563, 5.637) d) (5.592, 5.608) e) (4.350, 7.050) f) none of the above

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  1. The 90% confidence interval for 22 student with mean 5.6 feet and standard deviation 0.1 feet is [5.563, 5.637].

    What is confidence interval?

    A confidence interval is a range of values that can include the real value of the parameter being researched in statistics. It is created using observed data and estimated at a chosen degree of confidence. The confidence level, such as a 95% confidence level, refers to the accuracy of the estimating process rather than the degree of assurance that the computed confidence interval accurately represents the real value of the parameter under investigation. Prior to computing the confidence interval, the desired confidence level is selected. It displays the percentage of confidence intervals that, when formed given the selected confidence level across an infinite number of independent trials, will include the parameter’s actual value.
    Here,
    n=22
    mean=5.6 feet
    standard deviation= 0.1 feet
    confidence interval=90%
    z at 90%= 1.65
    =5.6±1.65*0.1/√22
    =[5.563, 5.637]
    For 22 students with a mean height of 5.6 feet and a standard deviation of 0.1 feet, the 90% confidence interval is [5.563, 5.637].
    To know more about confidence interval,
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