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The national population mean hours spent on social media per week is 7.2 hours. The population standard deviation hours spent on social media is 8

  1. The national population mean hours spent on social media per week is 7.2 hours. The population standard deviation hours spent on social media is 8 hours. Suppose a researcher takes a sample of 36 people. Use this information to answer the followingquestions.
    1. What is the sampling distribution for the sample mean hours spent on social media? That is, whatisthedistribution,expectedvalue,andstandard deviationforthesamplemean.

Distribution:

E(x)=

SD(x)=

  1. What is the probability that the sample mean willbewithin 1 standard deviation of thepopulationmean?
  2. Whatistheprobabilitythathoursspentonsocialmediawillbemorethan9hours?
  3. What is the probability that that the sample mean hours spent on social media will bebetween 6 and 8hours?
  4. Interpret the previous result in terms of the sampling distribution for the samplemean.

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