Statistics Fundamentals Unit 5 Milestone,100% CORRECT

Mrs. Pellegrin has weighed 5 packages of cheese and recorded the weights as 10.2 oz, 10.5 oz, 9.3 oz, 9.8 oz, and 10.0 oz. She calculated the standard deviation to be 0.45 oz. The cheese factory lists the package weight at 10 oz. The t-statistic for a two-sided test would be __________. • +0.20 • - 0.20 • -0.40 • +0.40 2 A market research company conducted a survey to find the level of affluence in a city. They defined the category "affluence" for males earning $100,000 or more annually and for females earning $80,000 or more annually. Out of 267 persons who replied to their survey, 32 are listed under this category. What is the standard error of the sample proportion? Answer choices are rounded to the hundredths place. • 0.32 • 0.02 • 1.96 • 0.20 3 Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. What is the 95% confidence interval for this population proportion? Answer choices are rounded to the hundredths place. • 0.11 to 0.16 • 0.16 to 0.17 • 0.11 to 0.21 • 0.10 to 0.23 4 For a left-tailed test, the critical value of z so that a hypothesis test would reject the null hypothesis at 10% significance level would be __________. Answer choices are rounded to the hundredths place. • -2.33 • -1.03 • -1.65 • -1.28 5 The data below shows the grams of fat in a series of popular snacks. Snack Grams of Fat Snack 1 9 Snack 2 13 Snack 3 21 Snack 4 30 Snack 5 31 Snack 6 31 Snack 7 34 Snack 8 25 Snack 9 28 Snack 10 20 If Morris wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be? • 9 • 5 • 11 • 10 6 Joe hypothesizes that the students of an elite school will score higher than the general population. He records a sample mean equal to 568 and states the hypothesis as μ = 568 vs μ > 568. What type of test should Joe do? • Two-tailed test • Left-tailed test • Right-tailed test • Joe should not do any of the types of tests listed 7 Steven measures the weight of a random sample of 49 basset hounds. The mean weight was 45.8 pounds, with a standard deviation of 3 pounds. Using the alternative hypothesis that µ < 45.8, Steven found a z test statistic of -1.5. What is the p-value of the test statistic? Answer choices are rounded to the thousandths place. • 0.147 • 0.055 • 0.134 • 0.067 8 Which of the following is an example of a parameter? • Thirty randomly selected teens are asked about their average weekly hours spent on the Internet. • All 450 students attending a school are asked to rank the quality of cafeteria food. • Fifty students in first grade have their heights taken to estimate average length. • Over 10,000 out of 15,000 citizens in a precinct participate in a special election. 9 Joe is measuring the widths of doors he bought to install in an apartment complex. He measured 72 doors and found a mean width of 36.1 inches with a standard deviation of 0.3 inches. To test if the doors differ significantly from the standard industry width of 36 inches, he computes a z-statistic. What is the value of Joe's z-test statistic? • 1.81 • 2.83 • -2.83 • -1.81 10 A researcher has a table of data with four column variables and three row variables. The value for the degrees of freedom in order to calculate the statistic is __________. • 12 • 6 • 3 • 11 11 A table represents the number of students who passed or failed an aptitude test at two different campuses. South Campus North Campus Passed 42 31 Failed 58 69 In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed. What is the expected frequency of South Campus and passed? • 50 students • 42 students • 36.5 students • 43.7 students 12 The data below shows the heights in inches of 10 students in a class. Student Height, in inches Student 1 53 Student 2 52.5 Student 3 54 Student 4 51 Student 5 50.5 Student 6 49.5 Student 7 48 Student 8 53 Student 9 52 Student 10 50 The standard error of the sample mean for this set of data is __________. Answer choices are rounded to the hundredths place. • 1.77 • 0.19 • 1.87 • 0.59 13 One condition for performing a hypothesis test is that the observations are independent. Mary is going to take a sample from a population of 500 students. How many students will Mary have to sample without replacement to treat the observations as independent? • 50 • 100 • 490 • 300 14 Amanda is the owner of a small chain of dental offices. She sent out the yearly satisfaction survey to 600 randomly selected patients and received 544 surveys back. When looking through the results, she noticed that the downtown dental office staff had 84% of clients reporting satisfaction with services, while the uptown dental office staff had 76% of clients reporting satisfaction with services. Which of the following sets shows Amanda's null hypothesis and alternative hypothesis? • Null Hypothesis: The proportion of clients satisfied at the uptown office is 76%. Alternative Hypothesis: There is no difference in the satisfaction between the uptown and the downtown clients. • Null Hypothesis: The proportion of clients satisfied at the downtown office is 84%. Alternative Hypothesis: Uptown clients are more satisfied with the dental office staff than downtown clients. • Null Hypothesis: The proportion of clients satisfied at the downtown office is equal to the proportion of clients satisfied at the uptown office. Alternative Hypothesis: There is a difference in the satisfaction between the uptown and the downtown clients. • Null Hypothesis: The proportion of clients satisfied at the downtown office is greater than the proportion of clients satisfied at the uptown office. Alternative Hypothesis: Downtown clients are less satisfied with the dental office staff than uptown clients. 15 Mike tabulated the following values for heights in inches of seven of his friends: 65, 71, 74, 61, 66, 70, and 72. Mike wishes to construct a 95% confidence interval. What value of t* should Mike use to construct the confidence interval? Answer choices are rounded to the hundredths place. • 1.94 • 2.45 • 4.58 • 2.37 16 Which of the following assumptions for a two-way ANOVA is FALSE? • The samples must be dependent. • The sample populations must be normally or approximately normally distributed. • The variances of the populations must be equal. • The groups must have the same sample size. 17 What value of z* should be used to construct a 97% confidence interval of a population mean? Answer choices are rounded to the thousandths place. • 1.65 • 1.96 • 2.17 • 1.88 18 A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job. The superintendent wishes to construct a significance test for her data. She finds that the proportion of satisfied teachers nationally is 18.4%. What is the z-statistic for this data? Answer choices are rounded to the hundredths place. • 1.24 • 2.90 • 1.15 • 0.61 19 Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309. Select the 98% confidence interval for Adam’s set of data. • 55.45 to 79.46 • 46.94 to 71.33 • 46.94 to 79.46 • 55.45 to 70.95 Confidence Intervals Using the T-Distribution 20 Brad recorded the number of visitors at the local science museum during the week: Day Visitors Tuesday 18 Wednesday 24 Thursday 28 Friday 30 He expected to see 25 visitors each day. To answer whether the number of visitors follows a uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10) What is the chi-squared test statistic? Answers are rounded to the nearest hundredth. • 1.12 • 2.54 • 1.40 • 3.36 21 Select the statement that correctly describes a Type II error. • A Type II error occurs when the null hypothesis is accepted when it is actually true. • A Type II error occurs when the null hypothesis is rejected when it is actually true. • A Type II error occurs when the null hypothesis is rejected when it is actually false. • A Type II error occurs when the null hypothesis is accepted when it is actually false. 22 Maximus is playing a game. When he rolls the dice he wins if he gets an even number and loses if he gets an odd number. Which of the following statements is FALSE? • The count of rolling an even number can be approximated with a normal distribution • The count of rolling an odd number can be approximated with a normal distribution • Rolling an even number is considered a success • The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution 23 The table below shows the results of a customer satisfaction survey at a particular restaurant broken down by males and females. Male Female Extremely Satisfied 25 7 Satisfied 21 13 Neutral 13 16 Dissatisfied 9 14 Extremely Dissatisfied 2 5 Assuming all 5 choices are equally likely, select the observed and expected frequency for male customers that are dissatisfied. • Observed: 9 Expected: 25 • Observed: 14 Expected: 9 • Observed: 9 Expected: 12.5 • Observed: 9 Expected: 14 24 Which of the following symbols represents a statistic? •