Given the following summary statistics on two samples Sample 1 Sample 2 Sample Mean 45 42 Sample Standard Deviation 9.22 9.49 Sample Size 10 12 Refer to Exhibit 1. At 95% confidence level, the margin of error
Given the following summary statistics on two samples Sample 1 Sample 2 Sample Mean 45 42...
Here are the summary statistics from the two random samples. sample size sample mean sample standard deviation Females 50 98.4060 0.6557 Males 50 98.1100 0.6710 Test statistic: z∗=(x¯1−x¯2)s21n1+s22n2√ Compute the test statistic (round off your final answer to two decimal places) and input your answer below.
#3. 2 Consider the following results for two samples randomly taken from two populations. AWN Sample Size Sample Mean 7 Sample Standard Deviation Sample A Sample B 20 25 28 22 9 a. Determine the degrees of freedom for the t distribution. 10 b. At 95% confidence, what is the margin of error? 11 c. Develop a 95% confidence interval for the difference between the two population means.
Statistics Grades: The statistics grades in the fall semester had mean of 65. The SRS were taken from different statistics groups (A, B, C and D) considering that the total number of students that took part on the exam was 110. Assuming that the change in the grades has a normal distribution with standard deviation σ= 10, We computed a 90% confidence interval of the mean change in score μ in the population of all statistics students. A) Find a...
2. A psychofogical siudy that the mean of time remained with a science exhibit at a museum was 107 seconds with a standard deviation of 117 seconds. Assume that the 117 seconds represents the population standard deviation. The sample size is 36 and let the confidence level be 95%. found length that boys engaged (a) Find and interpret the margin of error. (b) How large a sample size is needed to estimate to within 30 seconds with 95% confidence?
Suppose the math department chair at a large state university wants to estimate the average overall rating, out of five points, that students taking Introductory Statistics gave their lecturers on their end-of-term evaluations. She selects a random sample of 32 evaluations and records the summary statistics shown. Sample size Sample mean Sample standard deviation Population standard deviation Standard error Confidence level ? ?⎯⎯⎯ ? ? ??⎯⎯⎯⎯ ? 32 3.9102 1.0809 1.0213 0.1805 95% The department chair determines the standard error...
1. (15) Two samples of girls aged 6 and 7 are with the results shown below. given the Wide Range Achievement Test, Age 6 Age 7 Sample Size 11 15 Mean Score 42 51 Standard Deviation 8 Construct a 95% confidence interval for the difference in mean scores for the two age groups. (10 pts) a. b. Based on the interval from part A, do the test scores differ between the two age groups? Explain your answer. (5 pts) 1....
Assume that population means are to be estimated from the samples described. Use the sample results to approximate the margin of error and 95% confidence interval. Sample size equals =1, 043, sample mean equals =$46, 198, sample standard deviation equals = $26,000
Given the confidence interval for a mean of (74.5738,77.4262), from a sample of size 34 with a population standard deviation of σ=3.6, find the following: Margin of Error(ME)= Standard Error(SE)= Zc= what was the confidence level for this confidence interval?= (Show your work please)
Given two dependent random samples with the following results: Population 1: 44, 39, 42, 31, 40, 36, 42 Population 2: 32, 32,, 27, 18, 38, 30, 37 Use this data to find the 95% confidence interval for the true difference between the population means. Let d=(Population 1 entry)−(Population 2 entry) Assume that both populations are normally distributed. Find the mean of the paired differences, find the critical value that should be used in constructing the confidence interval, and find the...
1. What sample size is needed to estimate the mean white blood cell count (in cells per (1 poin microliter) for the population of adults in the United States? Assume that you want 99% confidence that the sample mean is within 0.2 of population mean. The population standard deviation is 2.5. O 601 1036 O 1037 O 33 2. The sample space of a population being researched contains 58 values and a mean of 318.6. (point The population has a...