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could someone please help? A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers.

could someone please help?

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A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be x = $14.50. Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is o = $3.50. To address the CEO's conjecture, the marketing manager carried out a hypothesis test of Ho : M = 13.50 vs. Ha : M > 13.50 and obtained a P-value = 0.077. At level of significance a = 0.05, the null hypothesis is not rejected. However, the marketing director later finds that, in fact, the average lunch price is above $13.50. The failure of the sample of 25 lunch prices to detect this fact was: O a Type I error. O an error of the third kind. O a Type II error. just bad data

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