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The instructor takes a random sample of size from the population data and obtains the following sample data:
x |
405 |
385 |
495 |
385 |
555 |
470 |
7 | The variance of sample means is: | ||
a | 4784.17 | ||
b | 8085.10 | ||
c | 1347.52 | ||
d | 1418.44 |
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- Questions 1-5 are related to the following Students in the population of all students taking E270 were asked to state how much they spent on textbooks in the current semester. There are N = 320 students taking E270. From the data collected the following summary measures were calculated. ∑x = 161,000 ∑(x − μ)² = 4,564,675 A random sample of 5 students selected from this population, yielded the following sample data: x 330 380 690 460 530 1 The sample mean is ________. A 469 B 472 C 475 D 478 2 The sample variance…Sixteen smokers whose ages were between 50 and 65 years were randomly selected. Blood samples were taken from them. Their cholesterol levels were determined and are presented below. 181 287 240 256 257 179 209 296 211 231 171 248 189 212 189 187 Compute the following: Sample mean Sample variance Sample standard deviationAn econometrics class has 80 students, and the mean student weight is145 lb. A random sample of 4 students is selected from the class, and theiraverage weight is calculated. Will the average weight of the students in thesample equal 145 lb? Why or why not? Use this example to explain whythe sample average, Y, is a random variable ?
- What is meant by the assumption that the paired sample observations ofYi and Xi are independently and identically distributed? Why is this animportant assumption for ordinary least-squares estimation? When is thisassumption likely to be violated?(i) A random sample of 175 registered voters revealed that 54% of them voted in the last election. Construct a 95% confidence interval to estimate the true proportion of voter turnout. (ii) A pilot sample of 50 voters found that 30 of them voted in the last election. How many more voters must be sampled to construct a 95% interval with a margin of error equal to 0.04?In studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80%80% confidence interval for the difference. A random sample of 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 1 of 4 : Find the values of the two sample proportions, pˆ1�^1 and pˆ2�^2. Round your answers to three decimal places.
- As the sample size increases, the variance of the sample mean Select one: a. increases b. not enough info to know c. decreases d. stays constantIn studying his campaign plans, Mr. Singleton wishes to estimate the difference between men's and women's views regarding his appeal as a candidate. He asks his campaign manager to take two random independent samples and find the 80%80% confidence interval for the difference. A random sample of 508508 male voters and 605605 female voters was taken. 108108 men and 193193 women favored Mr. Singleton as a candidate. Find this confidence interval. Step 2 of 4 : Find the critical value that should be used in constructing the confidence interval.Let x be a random variable representing dividend yield of Australian bank stocks. We mayassume that x has a normal distribution with σ = 2.4%. A random sample of 15 Australianbank stocks has a sample mean of x = 6.83%. For the entire Australian stock market, themean dividend yield is μ = 6.9%. Do these data indicate that the dividend yield of allAustralian bank stocks is higher than 6.9%? Use α = 0.05. What is the value of the teststatistic?
- A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 1010 nursing students from Group 1 resulted in a mean score of 55.755.7 with a standard deviation of 7.97.9. A random sample of 1515 nursing students from Group 2 resulted in a mean score of 65.665.6 with a standard deviation of 6.16.1. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let μ1�1 represent the mean score for Group 1 and μ2�2 represent the mean score for Group 2. Use a significance level of α=0.05�=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 2 of 4:…A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 1010 nursing students from Group 1 resulted in a mean score of 55.755.7 with a standard deviation of 7.97.9. A random sample of 1515 nursing students from Group 2 resulted in a mean score of 65.665.6 with a standard deviation of 6.16.1. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let μ1�1 represent the mean score for Group 1 and μ2�2 represent the mean score for Group 2. Use a significance level of α=0.05�=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4:…The management of a soft drink company is interested in determining whether the proper amount of soft drink has been placed in 1-liter bottles at the local bottling plant. The bottling plant has informed the management that the population standard deviation for 1-liter bottles is 0.025 liter. A random sample of 100 1-liter bottles selected from this bottling plant indicates a sample mean of 0.995 liters. Use a one-sample hypothesis test to decide whether the mean amount in the bottles is different from 1.0 liters. Use a 0.05 level of significance. State the null and alternative hypothesis for this problem. Determine the sample test statistic value for this problem. Determine the critical test statistic value for this problem. What is your statistical decision for this problem?