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A parent downloads an app that allows him to monitor the amount of screen time his kid is using on the phone. The kid claims

A parent downloads an app that allows him to monitor the amount of screen time his kid is using on the phone. The kid claims that she is only using 1 hour per day on the phone on average, but the app, over the course of 47 days, finds that the kid used an average of 1.2 hours per day. The parent wants to know if the kid is using an average of 1 hour per day for all days of use.

a) The 1 is equal to the the claimed value for the:

  • sample
  • population
  • statistic
  • parameter

b) The symbol for the claimed value of the population parameter, 1, is:

  • x
  • p^

c) The symbol for the observed statistic, 1.2, is:

  • p^
  • x

d) If we conduct a simulation in order to create the distribution of sample statistics, then the distribution will be centered at approximately:

  • 1.2
  • 47
  • 1

e) If we conduct a simulation in order to create the distribution of sample statistics, then the shape of the distribution will be approximately:

  • normal (bell curve)
  • left skewed since 1 is less than 1.2
  • right skewed since 1.2 is more than 1
  • there is no way to know

A parent downloads an app that allows him to monitor the amount of screen time his kid is using on the phone. The kid claims that she is only using 1 hour per day on the phone on average, but the app, over the course of 47 days, finds that the kid used an average of 1.2 hours per day. The parent wants to know if the kid is using an average of 1 hour per day for all days of use. In order to conduct a statistical analysis, a Rossman Chance applet was used to see if the candidate's claim can be supported. Use the distribution of 100 simulated statistics generated by the applet (pictured above) to answer the questions.

a) There are 100 little squares in the simulated distribution. What does each little square represent?

  • The average screen time of a sample of 47 days if we assume that the average screen time for all days is atually 1.2 hours.
  • The average screen time of a sample of 47 days if we don't know the average screen time for all transactions.
  • The average screen time of a sample of 47 days if we assume that the average screen time for all days is atually 1 hour.
  • The average screen time of a sample of 100 days if we assume that the average screen time for all days is atually 1 hour.

b) Which of the following conclusions is the most accurate to make based on our observed statistic?

  • We conclude that the average screen time for all days is at the restaurant is 1 hour.
  • Because our statistic is unusual/unexpected, we have strong evidence that the average screen time for all days is more than 1 hour.
  • We conclude that the average screen time for all days is 1.2 hour.
  • Because our statistic is usual/expected, it is plausible that the average screen time for all days is 1 hour.

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