A survey of 20 couples showed the mean number of meals eaten outside the home was 2.76 per week and the standard deviation was 0.

A survey of 20 couples showed the mean number of meals eaten outside the home was 2.76 per week and the standard deviation was 0.75. assume a normal distribution

a) create 90% confidence interval to estimate the true mean number of meals eaten outside the home each week

b) an article on restaurent.com claims that couples eat an average of 2 meals outside of the home each week. Do the sample data provide evidence to support the claim ? explain