Question

Do we check our phones too many times per day? In a survey of a random sample of 89 college sophomores, researchers asked these students to keep track of the number of times they checked their phone in a typical day. The average number of times the sample reported checking their phones per day was 52.5, with a sample standard deviation of 10.6. If a 95% confidence interval is constructed based on this sample data, what will the margin of error be? Choose the answer below that is closest to what you compute, and try not to do a lot of rounding until you get to the very end of your computations.

A. 0.11

B. 1.96

C. 1.23

D. 2.20

E. 6.38

Answer 1

Solution:

4.

The number of degrees of freedom are df=89−1=88, and the significance level is α=0.05.

Based on the provided information, the critical t-value for α=0.05 and df=88 degrees of freedom is tc​=1.987.

The 95% confidence for the population mean \muμ is computed using the following expression

Margin of error is given by=

=

=

=2.20

hence,option(D) 2.20 is a correct option.

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