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- The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 4, 8, 5, 7, 7, 4, 8, 5, 4, 4, 6 H0=? H1=? The test statistic = ? (please show your answer to 4 decimal places.) The p-value = ? (Please show your answer to 5 decimal places.)the table below shows the number of books the Jefferson Middle school students read each month for nine months. Month Sept. Oct. Nov. Dec. Jan. Feb. Mar. Apr. May Number of Books 293 280 266 280 289 279 275 296 271 If the students read only 101 books for the month of June, which measure of central tendency will have the greatest change? O A. All measures will have an equal change. O B. The mean will have the greatest change. O C. The mode will have the greatest change. O D. The median will have the greatest change.A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 186 lb and a standard deviation of 36 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.)
- Draw a bar graph comparing the means and standard deviation of both sexes and label axes. based on the picture bellow:Which of the following statistics are measures of centrak tendency? a. Median b. Range c. Standard Deviation d. All of these e. None of theseBelow is a set of grouped data. Xi 8 10 12 14 16 18 20 Frequency 11 9 13 24 16 10 15 a) Find the mean of the grouped data. X=1406/98 =14.35 b) Find the standard deviation of the grouped data
- A study finds that the carapace length of an adult spider is normally distributed with a mean of 17.55 mm and a standard deviation of 1.42 mm. Let x denote carapace length for the adult spider. a. Sketch the distribution of the variable x. Choose the correct graph below. O A. B. C. -51 -34 1.42 37 54 13 15 17.55 20 22 b. Obtain the standardized version, z, of x. Choose the correct standardized version below. O A. (x- 17.55) Z= ов. (z- 17.55) 1.42 1.42 OC. (z - 1.42) D. (x - 1.42) 17.55 17.55 c. Identify and sketch the distribution of z. Choose the correct graph below. O A. ов. OC. 13 15 17.55 20 22 -2 -1 -2 d. Find the z-scores that correspond to the percentage of adult spiders that have carapace lengths between 16 mm and 17 mm. The percentage of adult spiders that have carapace lengths between 16 mm and 17 mm is equal to the area under the standard normal curve between (Round to two decimal places as needed.) and e. Find the z-score and direction that corresponds to the percentage of…Calculate Range and Standard Deviation onlyFifteen randomly selected college students were asked to state the number of hours they slept the night before. The resulting data are: 6 16 7 8 7 796 3 11 9 15 4 7 9 a) Find the mean. b) Find the median. c) Find the standard deviation. d) According to Chebysev's Theorem, at least 75% of the times will fall between what two amounts? Is the theorem accurate for this set of data? Why of Why not? e) Are any of the reported hours "unusually" high? Are any of the reported hours unusually low?
- A boat capsized and sank in a lake. Based on an assumption of a mean weight of 133 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,310 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 133 lb to 174 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with mean of 181.1 Ib and a standard deviation of 38.6 lb. Find the probability that the boat is overloaded because the 70 passengers have mean weight greater than 133 lb The probability isO: (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,958 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 174 (so that their total weight is greater than the maximum capacity of 2,958 Ib). The probability is. (Round to four decimal places as needed.)…The average weekly salaries (in dollars) earned by teachers in 1994 are given below for five European countries. Country Weekly Salary France $1,213 Germany $1,752 Greece $824 Ireland $1,101 Italy $1,006 a) What is the range for salaries? b) What is the standard deviation of the salariesA boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…