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. the p-value for this test is 5.69 space cross times space 10 to the power of negative 50 end exponent (to visualize the p-value, move the decimal 50 places to the left of 5.69).

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06-12-2022
Mathematics

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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. the p-value for this test is 5.69 space cross times space 10 to the power of negative 50 end exponent (to visualize the p-value, move the decimal 50 places to the left of 5.69).

Sagot :

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contexto1024 contexto1024 · Answer 1 · 2022-12-08T21:57:18-05:00

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

#SPJ4

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=

Sagot :

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