4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating. a Greater than 0.75. b. Less than 0.75 but greater than 0.5. b. c.Greater than the mean. d. Not less than 0.9. d. a. C.
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4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.
a. Greater than 0.75.
b.Less than 0.75 but greater than 0.5.
c. Greater than the
d. Not less than 0.9.
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- The number of hours of computer usage in a day of a random sample of 12 students was recorded as follows: 4.7, 3.9, 4.7, 4.8, 5.7, 6.1, 5.7, 5.3, 4.1, 3.1, 3.7, 4.0 What is the mean number of hours of computer usage?Secretary of State Roxana Tillerson is worried about malpractice at the 4 processing centers for Green Cards in the country. Green Card applications are given a grade g on a scale 0-100. They are assigned randomly to different centers and thus Tillerson expects all centers to have similar mean scores. She collects the data in the table. #applications 9360 67.27 15.29 1 9870 66.74 14.64 7020 66.94 15.14 3 5040 67.02 14.84 4 rows x 3 columns At this point she just wants to decide whether or not to initiate a deeper investigation into malpractice at all sites. Does she have sufficient evidence for this, at 6% significance? SSTT number (rtol=0.01, atol=0.0001) SSE number (rtol=0.01, atol=0.0001) F. number (rtol=0.01, atol=0.0001) P-val number (rtol=0.01, atol=0.0001) O (a) No, she cannot make a conclusion O (b) Yes, she has enough evidence Select the key assumptions in the test you used. O (a) The populations are independent and therefore their covariances are zero. O (b) All sample sizes…An ANOVA is used to compare the mean GPA of the following groups of students.
- Previously, an organization reported that teenagers spend 8.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 8.3, 8.5, 10.5, 2.9, 6.7, 7.7, 13.8, 7.8, 8.7, 11.8, 12, 6.1, 5.4, 5.8, 8.5, 7.9, 10.1,11.1, 11.6, 12.9, 3.6, 6.4, 11.2 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: ??v H: ? v ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. v with By the Central Limit Theorem, we know that the point estimates are Select an answer and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P? v? v = P(| ? ♥| ? vTo test whether actually taking Introductory Statistics decreases students’ anxieties about the field of Statistics, a Statistics instructor gave a test to rate student anxiety at the beginning and end of his course. Anxiety levels were measured on a scale of 0-10. Here are the data for 16 randomly chosen students from a class of 180 students: Pre-course Anxiety Level: 7 6 9 5 6 7 5 7 6 4 3 2 1 3 4 2 Post-course Anxiety Level 4 3 7 3 4 5 4 6 5 3 2 2 1 3 4 3 Do the data indicate that anxiety levels about the field of Statistics decreases after students take Introductory Statistics? Use a significance level of ? = 0.05. a) what is the test statistics and p-value? b) Find a 90% confidence interval for the difference in the anxiety levels about the field of StatisticsFrom candy to jewelry to flowers, the average consumer was expected to spend $104.63 for Mother’s Day in 2005, according to a Democrat & Chronicle article. Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 60 consumers was taken at a local shopping mall the Saturday before Mother’s Day and produced the sample mean amount of $94.27. If σ = $29.50, does the sample provide sufficient evidence to support the merchants’ claim at the 0.03 level of significance? 1. Do you recognize any flaws in this study and what conclusions can you draw? The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate doe male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate was related to nutritional…
- Suppose a survey of 931 business owners found that 23% bought flood insurance. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey. Choose the best statement of the descriptive statistic in the problem. O A. Most business owners do not buy flood insurance. B. There is no association between business owners and buying flood insurance. OC. 931 business owners were surveyed. O D. 23% of business owners in the sample bought flood insurance. Choose the best inference from the given information. OA. 23% of business owners in the sample bought flood insurance. OB. 931 business owners were surveyed. OC. Most business owners do not buy flood insurance. D. There is no association between business owners and buying flood insurance.In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean score on test Number of ninth graders Glenwood 76 272 Central City 93 325 Lincoln High 73 180 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 80.7 . Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place.mean of all ninth grader's scores =The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.
- In each part, give the value of the standardized statistic (z-score) for the sample mean. 100, σ = 8, n = 4 (a) x = 88, μ = Z = (b) x = 88, μ = 100, σ = 8, n = 64 Z = (c) x = 10.63, μ = 10.0, σ = 7, n = 10,000 z =A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. The data: Achievement_Group Cheat 1 20 1 40 1 49 1 50 1 51 1 51 1 52 1 53 1 58 1 42 1 48 1 48 1 52 1 55 1 55 1 56 1 59 1 67 1 80 1 79 2 19 2 25 2 20 2 29 2 24 2 32 2 25 2 27 2 30 2 55 2 40 2 25 2 27 2 35 2 42 2 30 2 30 2 34 2 40 2 27 3 60 3 65 3 69 3 78 3 79 3 80 3 80 3 90 3 95 3 50 3 55 3 55 3 60 3 69 3 70 3 70 3 88 3 90 3 90 3 91 Before opening the data,…A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. Before opening the data, what would you hypothesize about this research question?