1) Below is the data set for the amount of trash by ten households (in pounds per day). Assume the population is normally distributed.
Pounds of trash:
3.9, 4.6, 15.6, 10.5, 16.0, 6.7, 12.0, 9.2, 13.8, 16.8
Construct a 95% confidence interval for the mean based on the sample. Calculate the sample mean.
Hint: use the t-table.
2) A random sample of 175 registered voters revealed that 54% of them voted in the last election. Construct a 95% confidence interval to estimate the true proportion of voter turnout.
3)A company claims the average time a customer waits for help is 4.78 min. The sample size is 35 customers. Assume the population standard deviation for wait time is 1.8 min. Test the company claim at the α = 0.05 significance level by comparing the calculated z-score to the critical z-score