7. In a sample of n= 6, five individuals all have scores of X= 10 and the sixth has a score of X=16. What is the mean for this sample?
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- 3 see picture25. Suppose exam grades were recorded for 20 students in the class, but one of the grades is no longer readable. If the mean score on the exam was 80 and the mean of the 19 readable scores is 82, what is the value of the unreadable score?A researcher believes there is a difference in the mean number of days before visible results begin to show among three types of facial creams that reduce wrinkle lines. Several consumers are randomly selected and given one of the three creams. Each participant then recorded the number of days it took to see results. The results are shown in the table. Based on these data, can you conclude that there is a difference between the mean number of days for these three creams? Use a 0.05 level of significance and assume the population distributions are approximately normal with equal population variances. Cream #1 20 20 14 17 15 Cream #2 13 15 15 11 13 Cream #3 14 18 15 16 17 10 Copy Data Step 1 of 2: Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to four decimal places.
- The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey &8 employees. The number of sick days they took for the past year are as follows: 12; 6; 15; 3; 10; 8; 8; 8. Let X= the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level. What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)Q5. The number of points held by a sample of the NHL's highest scorers for both the Eastem Conference and the Westem Conference is shown below. At 0.01 level of significance, (a) can it be concluded that the mean score of Eastem Conference is higher than Westem Conference based on these data? Use P value method. Eastern Conference 83 60 Western Conference 77 59 75 72 68 69 70 58 37 57 78 68 62 55 61 61 59 664. Students in Miss Bigelow's English class completed a vocabulary test worth 100 points, and, interestingly, all students received different scores on this test. When Miss Bigelow summarized the test scores, she obtained the following: Minimum = 25 points, Q, = 59 points, Median = 78 points, Q3 = 87 points, and Maximum = 100 points. If Kami's score on this test is at the 40th percentile, what does this mean? A. Kami's test score is between 25 points and 59 points. B. Kami's test score is between 59 points and 78 points. C. Kami's test score is between 78 points and 87 points. D. Kami's test score is between 87 points and 100 points. E. Kami had a higher test score than 60% of her classmates.
- 3. A study in Men's Health magazine stated that 14% of men said they used exercise to reduce stress. Use a = 0.10. A random sample of 100 men was selected and 10 said they used exercise. Does the sample support the claim made by the magazine?Suppose you are conducting a paired t test to determine whether or not caffeine has an effect on heart rate. You have a sample of 60 participants and they ingest no caffeine each day for a week. At the end of the week, you measure their heart rates and find the mean. Then, the same 60 participants are given 500mg of caffeine every day for a week and again, at the end of the week you measure their heart rates and find the mean. What would the null hypothesis be for this test?Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Salma is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Salma tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Salma conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before…
- Do wearable devices that monitor diet and physical activity help people lose weight? Researchers had 237 subjects who were already involved in a program of diet and exercise use wearable technology for 24 months. They measured their weight (in kilograms) before using the technology and 24 months after using the technology. The 237 differences in weight (weight after 24 months minus weight before using the wearable technology) had ?⎯⎯⎯=−3.5�¯and ?=7.8.. Let ?� be the mean weight difference. What is the test statistic? Give your answer to three decimal places. ?= Identify the correct interpretation of the results based on your analysis.Which is the correct answer ? There is very convincing evidence that there is a decrease in average weight after wearing the device. There is a small amount of evidence that there is a decrease in average weight after wearing the device. There is very convincing evidence that there is an increase in average weight…What is Ha? (H0 is the mean VIQ scores for the younger, middle-aged, and older subjects are all not different from each other) (Note: 1= 5-25 Years, 2= 26-59 Years, 3= 60-92 Years) Multiple Choices: 1. H0 is not true 2. The mean VIQ scores for the younger, middle-aged, and older subjects 3. are all different 4. The mean VIQ scores for the younger, middle-aged, and older subjects are all different from each other 5. The mean VIQ scores for the younger, middle-aged, and older subjects are not equal to one another 6. The mean VIQ scores for the younger, middle-aged, and older subjects are not the same as each otherSuppose we measure GPA for people in our class, we find the mean is 2.8 and the median is 3.2. What can you say is most likely true about GPAs in our class?
