data x 16 10.5 11.4 11 10.7 11.3 17.8 13.9 13.4 12.6 13.2 15.4
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- Sampling Distributions Scores on the Gilliam Autism Rating Scale (GARS) are normally distributed with a mean of 100 and a standard deviation of 15. A sample of 64 GARS scores is randomly selected and the sample mean is computed. a. Describe the distribution of such sample means. b. What is the mean of all such sample means? c. What is the standard deviation of all such sample means?The height of women ages 20-29 is normally distributed, with a mean of 63.9 inches. Assume o = 2.5 inches. Are you more likely to randomly select 1 woman with a height less than 65.6 inches or are you more likely to select a sample of 16 women with a mean height less than 65.6 inches? Explain. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 65.6 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 16 women with a mean height less than 65.6 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 65.6 inches or are you more likely to select a sample of 16 women with a mean height less than 65.6 inches? Choose the correct answer below. A. It is more likely to select 1 woman with a height less than 65.6 inches because the probability…Calculate the mean of the following set of numbers, SHOW YOUR WORK: 25,22,26,24,21,29,26,20,28,23 Mean:____________ Calculate the variance from the above values, SHOW YOUR WORK. X X - Mean (X - Mean)2 25 22 26 24 21 29 26 20 28 23 TOTAL Variance:____________ Calculate the standard deviation from the above values, SHOW YOUR WORK. Calculate the mean of the following values, SHOW YOUR WORK: 82,85,90,86,91,90,81,86,94,89. Mean: ___________ Calculate the variance from the above values (question 4), SHOW YOUR WORK. X X - Mean (X - Mean)2 82 85 90 86 91 90 81 86 94 89 TOTAL…
- What is the sample standard deviation for each sample? What does it show about the standard deviation? Thank you!The least-squares regression equation is y=761.7x+13,208 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7483. Predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree.7
- In an advertising campaign, a snack company claimed that every 18-ounce bag of its cookies contained at least 1000 chocolate chips. Two statisticians attempted to verify the claim. The accompanying data represent the number of chips in an 18-ounce bag of the company's cookies based on their study. Complete parts (a) through (e). Click here to view the chocolate chip data table. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Chocolate Chip Data Table 1216 1216 1218 1267 1274 1278 1289 1290 1298 1310 1327 1092 1094 1151 1348 1169 1356 1106 1181 1358 1124 1127 1135 1136 1143 1190 1231 1378 1195 1205 1210 1215 1241 1243 1246 1253 1402 1415 1440 1516 Print DoneBones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 27 minutes. Suppose 100 returns from this year are selected and analyzed regarding the preparation time. What is the standard error of the mean? 27 minute 270 min 2.7 min 90 minjust the last part, i included the sample. thank you!
- Describe each data set, that is determine the shape, center, and spread. Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Sample mean for Car 1 Full data set D x= mi / 10 gal Car 1 (Type an integer or decimal rounded to one decimal place as needed.) 224 249 241 232 240 251 292 160 285 251 Sample mean for Car 2 159 308 285 306 285 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 236 206 236 217 245 Median for Car 1 242 232 257 247 264 M= mi / 10 gal 296 244 256 281 269 (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 2 M = mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 1 R= mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Range for Car 2 R = mi /…Detecting gypsy moths The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed with a mean of 0.5 and a standard deviation of 0.7. a. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of for SRSS of size 50. b. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. c. In a recent month, the mean number of moths in an SRS of size 50 was = 0.6. Based on this result, is there convincing evidence that the moth population is getting larger in this state? Explain your reasoning.The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean ( ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.