Statistics In Busniess Essay

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1. The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 12 different servings. 11 20 28 33 37 22 21 14 44 25 17 29 a. The arithmetic mean carbohydrates in this sample is ________ grams. b. The median carbohydrate amount in the cereal is ________ grams. c. The range in the carbohydrate amounts is ________ grams. d. The standard deviation of the carbohydrate amounts is ________ grams. e. Construct a box-and-whisker plot for the carbohydrate amounts. f. What type of shape does the distribution of the sample appear to have? 2. A set of final examination grades in COMM 291 is normally distributed with a mean of 73 and a standard deviation of 8. What is the probability of getting a grade of 91 or less on this exam? 3. The average score of all students in COMM 291 is normally distributed with a mean of 73 and a standard deviation of 8. Suppose another 30 students will take the course next term. Find the probability that the average score of the 30 students will exceed 65. 4. An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 252 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a standard deviation of 10 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume an average of 255.6 W. a. b. c. d. e. f. Write down the appropriate hypotheses. For a test with a level of significance of 0.05, the critical value would be ________. The value of the test statistic is ________. The p value of the test is ________. Should the null hypothesis be rejected or not given the significance level of 5%? True or False: The consumer group can conclude that there is enough evidence to prove that the manufacturer’s claim

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