In: Statistics and Probability
7. According to the market research firm NPD Group, Americans ate an average of 211 meals in restaurants in 2001. The following data show the number of meals eaten in restaurants as determined from a random sample of Americans in 2014: 212, 128, 197, 344, 143, 79, 180, 313, 57, 200, 161, 320, 90, 224, 266, 284, 231, 322, 200, 173. Using ? = .05, test the hypothesis that the number of meals eaten at restaurants by Americans has not changed since 2001.
1) Identify the null and alternative hypotheses.
2) Set the value for the significance level.
3) Determine the appropriate critical value.
4) Calculate the appropriate test statistic
. 5) Compare the test statistic with the critical value
. 6) State your conclusion.
7) Calculate and interpret the P-value
data
212, 128, 197, 344, 143, 79, 180, 313, 57, 200, 161, 320, 90, 224, 266, 284, 231, 322, 200, 173
mean = 206.2
sd = 83.7902