The weight of male contestants is normally distributed with a mean of 90 kg and a standard deviation of 8 kg. If 35% of contestants satisfy a maximum weight requirement for police officers, what is the maximum weight requirement? Draw the graph
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. The weight of male contestants is
kg and a standard deviation of 8 kg. If 35% of contestants satisfy a
maximum weight requirement for police officers, what is the maximum
weight requirement? Draw the graph.
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- a researcher has collected the following sample data; 3,5,12,3,2. the mean of the sample is 5. the interquartile range is?Construct a quantile graph. Explain why or why not the data set provided has a normal distribution: 5.5, 6.0, 6.4, 5.7, 7.5, 4.5, 5.5, 5.6, 6.5, 6.0, 5.0, and 6.0. include the graph and response.The histogram (click the attacthed photo to view) shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. A) The mean is? B) The variance is? C)The standard deviation is?
- A 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…a) Represent data by using Cumulative Frequency Polygon. b) Find Population Standard Deviation.A boat capsized and sank in a lake. Based on an assumption of a mean weight of 135 lb, the boat was rated to carry 70 passengers (so the load limit was 9,450 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 135 lb to 175 lb. Complete parts a and b below. a. Assume that similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 181.9 Ib and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 135 Ib. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,275 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,275 Ib). The probability is. (Round to four decimal places as…
- b. As a basketball player, Rylee scored the following in her last 10 games: 34, 21, 21, 3, 12, 22, 21, 33, 15, 19. Which measure of central tendency would be best? Create a distribution graph. Discuss the data points on the x-axis and y-axis. Discuss the measures of central tendency.Use a calculator or computer software to generate a normal quantile plot for the data in the accompanying table. Then determine whether the data come from a normally distributed population. Click the icon to view the data set. O A. OB. В. OC. OC. 3.00- 2.00- 3.00- 3.00- 2.00- 1.00- 0.00- -1.00- -2.00- -3.00+ 2.00- 1.00- 0.00- -1.00- -2.00-. -3.00- 1.00- 0.00- -1.00- -2.00- -3.00- O 100 200 300 400 500 X Value O 100 200 300 400 500 X Value O 100 200 300 400 500 i Data Table - X Determine whether the data come from a normally distributed population. Choose the corred O A. The distribution is normal. The points are not reasonably close to a straight line and O B. The distribution is not normal. The points are not reasonably close to a straight line. Space Flight Durations (hours) D 350 200 100 300 200 350 250 200 O C. The distribution is normal. The points show a systematic pattern that is not a straigl 100 400 450 200 300 100 450 150 50 400 O D. The distribution is not normal. The points…Use the frequency distribution from Exercise 14 in Section 2-1 to construct a histogram. Does it appear to be the graph of data from a population with a normal distribution?
- C8. Individuals with higher levels of education tend to delay parenting, having children at an older age in comparison with individuals with lower levels of education. We examine this relationship based on GSS 2018 data. In the following table, the mean, standard deviation, and variance for respondent's age when first child was born (AGEKDBRN) are reported for five categories (DEGREE). a. Identify the level of measurement for DEGREE and AGEKDBRN. b. Describe the relationship between respondent degree and age when first child was born. High School Some Less Than High School Bachelor's Graduate College Degree Degree Mean 21.33 23.08 24.83 27.44 28.59 5.055 5.498 4.581 5.314 5.446 Standard deviation Variance 25.556 30.232 20.984 28.234 29.654The pH of a liquid is a measure of its acidity or alkalinity. Pure water has a pH of 7, which is neutral. Solutions with a pH less than 7 are acidic while solutions with a pH greater than 7 or basic or alkaline. A random sample of lakes in Florida was taken and the pH was recorded for each lake. Summary statistics are given below. The primary question to answer is: "Is there evidence to indicate the mean pH of lakes in Florida is different than the neutral value of 7?" min 01 median Q3 max mean sd n missing 3.6 5.8 6.8 7.4 9.1 6.5906 1.2884 53 A 95% confidence interval for the mean pH level of all lakes in Florida is to be constructed. Fill in the blanks below with the correct values in the formula for this problem. Report all values to three decimal places. Use R Studio or a calculator to obtain the critical value. (Note: report the t-critical value immediately after the +/- sign and the standard error in the last set of parentheses.) 土(
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