13 89 1 13 20 12 12 5822 19 211 13 The sample mean -123 az be a nandom variabe that nepresents the percentage of wheat arop in that counity lost te hail. Assume that has a normal distributi nd a50 De data indicate that the percentage of wheat crop lost to hail in that county is dillerene (ather national mean of 115? Use -0.01. OWhat sthe levl of gnficance? State the null and atenate hypotheses. Wl you ue a lt-ailed, right-tailed, or two-tailed tes o Mo 11%; 1is, ltad o Ho:11% H-11% two-taiked O M 11%, N 11%: twolaiked O He 11%; 1I ght tald () what samglng dtribion wil you uie? Explain the nationale for ytr dhoice of sampling dtrution O The Stude wnce we assme that has a normal detrbutan th kon o The Student's , sincenslarge with unknonme. The standard narmal, since we assume that has a normal distribution mith knot o The standard normal, since we assume that x has a normal disribution mith unknowna la al the samle tet statatic (Round your an to two decmal places) a Fnd (or imate) the Pala. (Round your aner to four decimal places.) Skatch the sampling dstribution and show the ana comesponding to the Pvalu Rused on il vourewrt fel to reg the ul hyothests? Are the date statisticaly gncat at level a = ল O AL the a-01 kevel, me rejet the null hypothesis and condude the data are not statistically significant. O Al the a-.01 level, me fail to rejet the nal hypothesis and condude the data are satsticaly s O AL the 0.01 kevel, me fal to reet the buths and condude the daa ae net g aly siica not conclon he contest of the application O There is sulliciant evidence at the 0.01 levl to condude that the avinage hail damage to mheat crops in the county in Colorado differs from the national avirage o There is infficent evidence at the 01 levl to condude that the avenage hail damage to wheat crops in the county in Colorado differs from the national avinage
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Step by step
Solved in 3 steps with 6 images