A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 308 people over the age of 55, 68 dream in black and white, and among 291 people under the age of 25, 10 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below.

The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with o = 600 miles. Suppose that a random sample of 31 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. о Но: р3D 11.1; Hі: р> 11.1 O Ho: H = 11.1; H1: µ > 11.1 O Ho: µ = 11.1; H1: µ # 11.1 о Hо: р 3 11.1; Hi: р# 11.1 O Ho: p = 11.1; H1: p 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

Compute the p-value for a Chi-Squared Goodness of Fit Test with a sample size of 200, 6 categories and a test statistic of 12.3331. Round to the fourth

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2867 and standard deviation 683. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible.   The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?  calories. (Round to the nearest calorie)