5. A nutritionist claims that individuals tend to report decreasing dietary intake the more they are interviewed. To investigate this claim, a random sample of eight female university students was asked to record their dietary intake for two consecutive days. An analysis on their total dietary intake (in kcal) gave the following results: Student 1 2 3 4 5 6 7 8 Day 1 1905 2237 1863 2291 2211 1428 1062 1705 Day 2 1658 1479 1100 2116 1999 1097 1283 2424

You are interested in comparing sleep habits of elementary school children.  Suppose you have agroup of eighth graders. You asked them in July to estimate about how many hours of sleep they get pernight, on average. You asked those same individuals the same question again in November, during theschool year. Which is the most appropriate test to use?

How productive are U.S. workers? One way to answer this question is to study annual profits per employee. A random sample of companies in computers (I), aerospace (II), heavy equipment (III), and broadcasting (IV) gave the following data regarding annual profits per employee (units in thousands of dollars). I II III IV 27.9 13.5 22.2 17.9 23.2 9.6 20.5 16.4 14.7 11.1 7.7 14.5 8.3 8.9 12.7 15.9 11.8 6.5 7.7 10.6   19.1   9.5 What are the degrees of freedom? (numerator) (denominator)(c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100     0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value is greater than the level of significance at α = 0.05, we do not reject H0. Since the P-value is less than or equal to the level of significance at α = 0.05, we…

Test for whether there has been a significant change in diabetes incidence over time.