The data below is a random sample of students from high school and the number of text messages sent and received over a two-day period. Some information for the data: sample mean: 43.7333333  sample standard deviation: 38.29857638  and n = 15 0          5          6          6          11        20        28        28        44        73        78        83        90     96    98  a) Check the requirements.  Hint: construct a boxplot of the data. Is it appropriate to perform a hypothesis test? b) If appropriate, perform a hypothesis test to determine whether the mean number of text messages sent is less than 44. (Hint: Complete the "State, Do, and Conclude part). Use the α = 0.05 level.  c) What would it mean to make a Type I error in this situation?  d) What would it mean to make a Type II error?

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The data below is a random sample of students from high school and the number of text messages sent and received over a two-day period. Some information for the data:

sample mean: 43.7333333  sample standard deviation: 38.29857638  and n = 15

0          5          6          6          11        20        28        28        44        73        78        83        90     96    98 

a) Check the requirements.  Hint: construct a boxplot of the data. Is it appropriate to perform a hypothesis test?

b) If appropriate, perform a hypothesis test to determine whether the mean number of text messages sent is less than 44. (Hint: Complete the "State, Do, and Conclude part). Use the α = 0.05 level. 

c) What would it mean to make a Type I error in this situation? 

d) What would it mean to make a Type II error? 

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