A new laptop claims that the loading time of the laptop is 16 seconds. Based on data from previous research conducted by the laptop company, it is known that the standard deviation of the laptop loading time is 0.8 seconds. To prove this, an inspector made observations by taking a sample of 30 laptops and it was found that the average loading time was 17.32 seconds. Based on these results:
a. Calculate a 95% confidence interval for the laptop loading time.
b. Perform hypothesis testing, whether the results of the inspection are in accordance with the claims of the laptop company using α = 1%