2.35% 13.5% 34% 34% 13.5% 2.35% 0.15% 0.15% A- 30 4-20 4+ 20 A+30 68% 95% 99.7% # 10 Vending Machine: Soft Drinks A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and standard deviation of 0.4 ounces. Examine figure 6.3 (see note above) and answer the following questions. (a) Estimate the probability that the machine will overflow an 8 ounce cup. (b) Estimate the probability that the machine will not overflow an 8 ounce cup. (c) The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

Cost for standard veterinary services at a local animal hospital follows a Normal model with a mean of $80 and a standard deviation of $20. Fill in the blanks according to this model: The middle 95% of veterinary bills cost between $ type your answer.... 2 type your answer... type your answer... Previous 3 S 3 e d 4 % of veterinary bills are between $60 and $80. % of bills are between $20 and $140. r f % 5 t 9 A 6 y h & 7 and $ type your answer... U n ★ 8 i E 9 k ✔ O P ctri

Cell Phone Bills  The average local cell phone monthly bill is $50.07. A random sample of monthly bills from three different providers is listed below. At a=0.05, is there a difference in mean bill amounts among providers?  Provider X           Provider Y           Provider Z 48.20                    105.02                59.27 60.59                     85.37                 65.25 72.50                      61.95                 70.27 55.62                       75.69                 42.19 89.47                       82.11                  52.34 Null Hypothesis Alternative Hypothesis Critical Value Find the Mean and the Variance F= Make the Decision Summary

The prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500. The price that is 3 standard deviations above the mean is $_____ . The price that is 2 standard deviations below the mean is $_____ . The percentage of buyers who paid between $16,500 and $17,500 is _____% The percentage of buyers who paid between $17,000 and $18,000 is _____%. The percentage of buyers who paid less than $16,000 is _____%.

EQuestion Help A boat capsized and sank in a lake. Based on an assumption of a mean weight of 147 lb, the boat was rated to carry 60 passengers (so the load limit was 8,820 Ib). After the boat sank, the assurmed mean weight for similar boats was changed from 147 lb to 174 lb. Complete parts a andb below. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 181.5 lb and a standard leviation of 39.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 147 lb. he probability is 1.0000 Round to four decimal places as needed.) . The boat was later rated to carry only 14 passengers, and the load limit was changed to 2,436 lb. Find the probability that the boat is overloaded because the mean veight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,436 lb). The probability is U Round to four decimal…

Summary data Fall semester Spring semester 27 72.4 Number of students 26 69.7 11 Mean final exam score Standard deviation final exam 9.1 Score

Baseball Team Batting Averages Team batting averages for major league baseball in a certain year are represented below. Find the variance and standard deviation for each league. Compare the results. Round the answers to five decimal places for variance and four decimal places for standard deviation. National League 0.252-0.256 0.257-0.261 0.262-0.266 0.267-0.271 0.272-0.276 Send data to Excel Bart: 02 7 3 2 2 2 American League 0.256-0.261 0.262-0.267 0.268-0.273 0.274-0.279 0.280-0.285 2 4 7 FAD 00 8 → 民團』。 B M dh

Detecting gypsy moths The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed with a mean of 0.5 and a standard deviation of 0.7. a. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of for SRSS of size 50. b. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. c. In a recent month, the mean number of moths in an SRS of size 50 was = 0.6. Based on this result, is there convincing evidence that the moth population is getting larger in this state? Explain your reasoning.