23. Bags of a certain brand of chips claim to have a net weight of 14 ounces but the net weight varies slightly from bag to bag, with a population standard deviation of 0.24. A representative of a consumer advocacy group wishes to see if there is any evidence that the mean net weight is less than advertised. A sample of 16 bags of this brand of chips is found to have a net weight of 13.82. Use these data to perform an appropriate test of hypothesis at 5% significance level. a) Write down the null and alternative hypothesis. Make sure to use the correct notation and definitions. b) Calculate the test statistic. Write the equation for calculating the test statistic (including the letter) and then substitute the necessary values. Write your answer to 3 decimal places. c) Write the probability statement of the p-value in terms of the test statistic. First, write the general formula and then substitute the necessary value. Also calculate the p-value. d) If the curve below corresponds to the density curve of the sampling distribution of the man, indicate the value at the centre, indicate the location of the sample value for this problem and shade and label the area corresponding to the p-value