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Sagot :
For a sample of study time in beginning and ending of semester of gvsu students.
95% confidence interval is ( 4.078, 4.602 ) and Upper bound is 4.602 and Lower bound is 4.078..
We have given that,
Sample size, n = 86
Standard deviations, sd = 1.24
Samle mean, X-bar = 4.34
Formula for confidence interval is
X-bar +- Z (sd/√n)
where, Z ---> test statistic value
Also, we have 95% confidence interval
Using the Z-table , we can get the value of z-statistic for 95% of confidence interval is 1.96 ..
Plugging all known values in above formula.
Confidence interval is
4.34± 1.96(1.24/√86)
=> 4.34 ± 1.96(0.1337)
=> 4.34 ± 0.2620
Upper bound of confidence interval is
4.34 + 0.2620 = 4.602
Lower bound of confidence interval is
4.34 - 0.2620 = 4.078
Hence, the upper and lower bounds of confidence interval are 4.602 and 4.078 respectively.
To learn more about Confidence interval, refer:
https://brainly.com/question/17212516
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Complete question:
Towards the end of the semester students are busy. Of all of the GVSU students, a sample of 86 students was taken. Study time per week at the beginning of the semester and study time at the end of the semester was recorded. The differences were then calculated End - Beginning. A sample mean difference of 4.34 hours/week with a corresponding standard deviation of 1.24 hours per week were found. Calculate a 95% confidence interval. (Remember to go to the hundredths place for both the upper and lower bounds.) Upper bond=? and
Lower bond=
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