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According to the Radicati Group, each email account in the world receives an ave

ID: 3051120 • Letter: A

Question

According to the Radicati Group, each email account in the world receives an average of 26.5 emails per day. (This means that people with 2 email accounts receive an average of 53 emails per day!)

You hypothesize that text messaging serves as a replacement for email, so people who send at least one text message per day will receive a lower average number of emails. You take a random sample of 100 people who send at least 1 text message per day, and ask them to record how many emails they get on November 12. The mean is 20.3, and the standard deviation is 10.2.

a. Find the p-value.

-The closer your answer is to 0, the more decimal places of accuracy WeBWorK expects. For this problem, please enter your answer accurate to 7 non-zero digits.

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 26.5
HA : < 26.5

Hypothesis test results:

Hence,

P - value =

Mean Sample Mean Std. Err. DF T-Stat P-value 20.3 1.02 99 -6.0784314 0.00000001
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