The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of $0.20. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of $0.95 with a standard deviation of $0.18. Do the data support the claim at the 1% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, however.) + Part (a) [+ Part (b) + Part (c) Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) X - N EV Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) Z C V = .935 X + Part (f) Part (g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (Upload your file below.) Choose File no file selected This answer has not been graded yet.Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha: a = (ii) Decision: A reject the null hypothesis A do not reject the null hypothesis (iii) Reason for decision: A Since a > p-value, we do not reject the null hypothesis. A Since a p-value, we reject the null hypothesis. A Since a