Find the margin of error for the 95% confidence interval used to estimate the population mean. Assume that the population has a normal distribution. A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. O 6.77 O 8.07 O 8.47 844
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- Consider the given data set. n = 12 measurements: 9, 8, 1, 5, 5, 7, 5, 6, 8, 7, 2, 0 Find the mean. USE SALT Find the standard deviation. (Round your answer to four decimal places.) z = Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.) Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.) z = Do the z-scores indicate that there are possible outliers in the data set? Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large. Since both z-scores exceed 2 in absolute value, both of the observations are unusual. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large. Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small.QUESTION 3 What percent of scores are below an SAT score of 560?A random sample of 120 cars in the drive-thru of a popular fast food restaurant revealed that the mean bill of $29.27 per car. The population standard deviation is $6.17. Find the mean bill for all cars from the drive-thru with 82% confidence.
- QUESTION 7 Given an x-mean3D3.4, SSx-97.3, y-mean33.9, SSy-45.2, Sxy-55.5, and a sample size of 45, calculate the following: X Sample Standard Deviation and Y Sample Standard Deviation X Population Standard Deviation and Y Population Standard Deviation Sample Covariance and Population Covariance Sample Correlation and Population CorrelationHEIGHT OF GRADE 11 STUDENTS 150.8 cm 151 сm 160 cm 153.5 cm 165.3 cm 170.2 cm 167.5 cm 158.5 cm 174.6 cm 154.5 cm 140.8 cm 164.3 cm 170.4 cm 155 cm 160 cm 141 cm 150ст 163.5 cm 163 cm 161 cm Find: a. Mean b. Median c. Mode (identify the type of mode) d. Range e. Standard Deviation f. Variance g. Average Deviation h. Skewness (identify the skewness)The goal of the one-sample t-test is to: Group of answer choices describe the location of a score within a distribution compare the mean of a sample to the population mean. compare the means of two samples. compare the standard deviation of a sample to the standard deviation of the population.
- Find the z-scores that correspond to each value and determine whether any of the values are unusual.D&EToby wants to know the average price of new cars at a particular dealearship. He randomly selects a sample of 31 cars and finds that the average price to be $19500$19500 with a standard deviation of $1640$1640. What is the 95% confidence interval for the mean price of cars at this particular dealership? With 95% confidence, we can say the true population mean price of cars at this dealership is between $____ and _____$ .Round to the nearest dollar
- 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.QUESTION 2 What percent of scores are above an ACT score of 19?Find the mean, median, standard deviation, and variance of the sample data. Also, from the original data set, find the values of the range and sample size. Identify the modal class (the one with the highest frequency). The statistics should be rounded properly- to the nearest hundredth