hello can someone please help me with these statistic questions thank you

question 10:

The quantitative data set under consideration has roughly,r a bellshaped distribution. Apply the empirical rule to answer the following question. Aouantitative data set has mean '18 and standard deviation 1. Approximately what percentage of the observations lie between 16 and 20? Approximately D% oi the observations lie between 16 and 20. (Type an integer or a decimal. Round to one decimal place as needed.) The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following question. A quantitative data set of size 80 has mean 45 and standard deviation 2. Approximately how many observations lie between 39 and 51? Approximately observations lie between 39 and 51. (Round to the nearest whole number as needed.)a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two. and three standard deviations to either side of the mean? It is reasonable to apply the empirical rule. The data is quantitative and the mean and standard deviation are known; therefore. the empirical rule applies. It is reasonable to apply the empirical rule. The data is quantitative and the histogram of the data is bellshaped; therefore, the empirical rule applies. It is not reasonable to apply the empirical rule. The data is quantitative and the histogram of the data is bellshaped. but this does not imply that the data itself is bell-shaped; therefore. the empirical rule is not appropriate. It is not reasonable to apply the empirical rule. The data is quantitative, but the value of k takes on values less than 1; therefore, the empirical rule is not appropriate. b. Use the empirical rule to estimate the percentages of observations that lie within one. two, and three standard deviations to either side of the mean. Roughly 68'? of observations lie within one standard deviation to either side of the mean. Roughly 95'% of observations lie within two standard deviations to either side of the mean. Roughly 99.?'% of observations lie within three standard deviations to either side of the mean. (Type integers or decimals. Do not round.) 1:. Use the data to obtain the exact percentages o observations that lie within one, two. and three standard deviations to either side of the mean. Using the data. T4.3'% of observations lie within one standard deviation to either side of the mean. 9?.1'% of observations lie within two standard deviations to either side of the mean. and 9?.1'% of observations lie within three standard deviations to either side of the mean. (Type integers or decimals. Round to one decima place as needed.) cl. Compare your answers in parts (b) and (c). The answers in part (b) are not roughly equal to the answers in part [0}. Therefore, the data is bellshaped. The cheetah is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 miles per hour (mph) and is capable of speeds above ?2 mph. The accompanying table contains a sample of the top speeds of 35 cheetahs. The sample mean and sample standard deviation of these speeds are 59.54 mph and 4.23 mph, respectively. A histogram of the speeds is bellshaped. Complete parts (a) through (d) below. g Click the icon to View the top speeds of cheetahs. X Top Speeds of Cheetahs (mph) 52.1 52.6 54.1 54.9 55.4 55.7 56.1 56.3 57.3 57.5 57.7 57.8 57.8 58.2 58.4 58.8 59.1 59.2 59.5 59.7 59.9 60.1 60.3 60.5 60.8 61.1 61.3 61.6 62.1 63.1 63.4 64.6 65.7 66.5 74.8The Tropical Cyclone Report. a publication of the National Hurricane Center, contains comprehensive information on each tropical cyclone. including synoptic history. meteorological statistics. casualties. and damages. A hurricane is a tropical cyclone with winds that have reached a constant speed of T4 miles per hour or more. During one year, the maximum wind speeds of 8 hurricanes in miles per hour (mph), were recorded and are as shown in the table. Consider these storms a population of interest. Obtain the following parameters for the maximum wind speeds. Use the appropriate mathematical notation for the parameters to express your answers. a. Mean b. Standard deviation c. Median d. Mode e. IQR a Click the icon to View the data. a. The population mean is represented by u' and is equal to 9?.5 . (Type an integer or a decimal. Do not round.) b. The population standard deviation is represented by 5' and is equal to 125'. (Round to one decimal place as needed.) 1:. The population median is represented by 11' and is equal to 95'. (Type an integer or a decimal. Do not round.) cl. Find the mode. Select the correct choice below and. if necessary. fill in the answer box to complete your choice. The mode{s) isfare) 90, 115'. (Use a comma to separate answers as needed.) There is no mode. 9. The IQR is 22.5'. (Type an integer or a decimal. Do not round.) The Tropical Cyclone Report. a publication of the National Hurricane Center, contains comprehensive information on each tropical cyclone. including synoptic history. meteorological statistics. casualties. and damages. A hurricane is a tropical cyclone with winds that have reached a constant speed of T4 miles per hour or more. During one year, the maximum wind speeds of 8 hurricanes in miles per hour (mph), were recorded and are as shown in the table. Consider these storms a population of interest. Obtain the following parameters for the maximum wind speeds. Use the appropriate mathematical notation for the parameters to express your answers. a. Mean b. Standard deviation c. Median d. Mode e. IQR g Click the icon to View the data.