Given the following data for an imaginary ssuperhero universe: Flying Telepathy Super Strength Female 89 77 82 Male 17 26 18 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have telepathy? Answer in decimal form. Round to 3 decimal places as needed
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According to the fundamental definition of probability,
The number of superhero who possess telepathy,
The total number of superheroes,
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- Question 3You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…Question 3 a. The content of brown sugar inside a packet is normally distributed with mean 250 grams and standard deviation of 5 grams. i. A packet is selected at random, find the probability that it is less than 245 grams. ii. Determine how much should be inside the packet that chances exceed 9%. iii. 50 packets are chosen randomly. What is the probability that the mean weight is more than 257 grams?
- The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S.Households Observed Numberof Households inthe Community Married with children 26% 92 Married, no children 29% 121 Single parent 9% 31 One person 25% 102 Other (e.g., roommates, siblings) 11% 65 A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) B)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)QUESTION 9 The length of an adult Great White Shark is normally distributed with a mean of 3.4 meters and a standard deviation of 0.5 meters. What is the probability that a randomly selected adult Great White is more than 4.7 meters long? Click Save and Submit to save and submit. Click Save All Answers to save all answers.Please help me all the problem 6. thanks
- The following data said shows the bank account balance for a random sample of 17 IRSC students.  Round solution to two decimal places if necessary. What is the mean of this data set? Mean= What is the median of this data set? Median= What is the mode of this data set if no modes exist type DNE. if multiple modes exist enter the values in a comma separated lists Mode=The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 893 Obsidian 10.6% 165 Welded Tuff 11.4% 179 Pedernal chert 13.1% 198 Other 3.6% 51 (A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)Answer questions #9 and #10
- QUESTION 11 The service time for customers coming through a checkout counter has mean 51.4 seconds and standard deviation 6.8 seconds. Find the probability that the average service time for 64 passengers to get service will fall between 49.9 and 52.9 seconds. 0.9216 0.1741 0.0392 0.9608QUESTION 12 The following data represent a random sample of 9 scores on a statistics quiz: Quiz Scores: 7 97 5 5 8 3 10 9 Given that X = 7 and s= 2.29, which of the following is the way to construct a 95% confidence interval to estimate the population mean? O A. О в. OC. O D. 7+1.96, 7+2.306, 7+2.306, 7+2.262, 2.29² 9 2.291 9 2.29 9 2.29 9Unit 3, Topic 12, Exercise 12-06 Pregnancy Durations Data from the National Vital Statistics System reveal that the distribution of the duration of human pregnancies (i.e., the number of days between conception and birth) is approximately normal with 270 and standard deviation 17 days. Use this normal model and a table of standard normal probabilities to determine the proportion of all pregnancies that come to term (have a mean duration) in the following number of days. Round your answers to four decimal places. a. Less than 247 8 days (approximately months). b. More than 272 days (approximately months). c. More than 300 days. d. Between 260 and 280 days.