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- You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.10, test the claim that the mean salary is $96.000. Complete parts (a) through (e) below. Assume the population is normally distributed (a) Identify the claim and state Ho and H₂. Ho Y M H₂ N ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to (Use a comma to separate answers as needed. Round to two decimal places as needed.). Choose the graph which shows the rejection region О А. 15-6.176 4 -ho to Q Q (c) Find the standardized test statistic, t The standardized test statistic is t- (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the…The researchers used a 3-item 7-point scale to measure consumers' attitudes toward the company. The researchers most likely used the .as the indicator of the scale's quality/reliability. none of the above/below O coefficient alpha coefficient beta coefficient p
- Kindergarten students were participants in a study investigating fine motor skills of 37 children. The children had their fine motor skills measured before the study (a combination of hand use, eye-hand coordination, and manual dexterity) and again after undergoing 7 months of occupational therapy. With the instrument used, high scores indicated stronger fine motor skills. Summary statistics are given below: Difference n Sample Diff Std. Err. Min Max d = Pre - Post 37 -7.8109 2.0715 -36 9 Determine what positive and negative differences mean regarding a student's fine motor skills. Pay attention to the order of subtraction in the output. A positive difference means the Select an answer post-test pre-test score was greater than the Select an answer post-test pre-test , implying fine motor skills were Select an answer weakened strengthened over the 7 months. A negative difference means the Select an answer post-test pre-test score was greater than the Select an answer…Children with autism differ significantly from children without autism on tests of varbal ability. repeated measures? or ind. with two tails?Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 94 of the 111 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 #P2 Hy:P1 =P2 O B. Ho: P1 =P2 H1: P1 P2 H1: P1 #P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the null hypothesis. There sufficient evidence to support the claim that echinacea…
- The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 893 Obsidian 10.6% 165 Welded Tuff 11.4% 179 Pedernal chert 13.1% 198 Other 3.6% 51 (A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)a study of store checkout scanners, 1234 items were checked and 23 checked items were overcharges. Use a 0.05 significance level to test the claim that with scanners, 1% of sales are overchanrges. (Before scanners were used, the overcharge rate was estimated to be about 1%). a. Define the parameter A. mu = The proportion of all sales that are undercharges B. p = The proportion of all sales that are incorrect C. p = The proportion of all sales that are overcharges D. mu = The mean number of sales that are overcharges b. State the null and alternative hypotheses A. Upper H 0 : mu not equals 0.01 Upper H 1 : mu equals 0.01 B. Upper H 0 : p greater than 0.01 Upper H 1 : p equals 0.01 C. Upper H 0 : p equals 0.01 Upper H 1 : p not equals 0.01 D. Upper H 0 : p equals 23 Upper H 1 : p less than 23 c. Calculate the sample proportion ModifyingAbove p…andomly selected students participated in an experiment to test their ability Co determine when one minute (60 seconds) has passed. Forty students yielded a a sample mean of 56.3 seconds. Assume that o = 6.5 seconds. %3D dents. Is it likely that their mean have an estimate that is reasonably close to 58 seconds?
- 1:37 PM Wed Apr 21 * 72% 88 Q Stats Exam •.. Untitled Notebook (1) Stats Exam 37. The manager of Green Valley medical center claims that the median number of patients seen by doctors who work at the center is 85. To test this claim, 20 days are randomly selected and the number of patients seen is recorded as shown. At a=0.1, test the claim. (Use sign test) 86 82 90 88 85 85 94 93 69 61 89 90 91 94 78 85 71 77 69 77The average number of cavities that thirty-year-old Americans have had in their lifetimes is 4. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- vear-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 2, 5, 3, 2, 5, 3, 5, 2, 2, 2, 4 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: ns Ho: ? vSelect an answer v re H: ? v Select an answer c. The test statistic 2 v = (please show your answer to 3 decimal places.) urse d. The p-value = e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that... (Please show your answer to 4 decimal places.) O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 4 at a = 0.05, so there is…4. 0 There is some indication that as countries' levels of literacy increases, authoritarian tendencies decline among the population. The following data show literacy (measured in number of literate people per 10 people) and authoritarian scores on a standard authoritarinaism- measuring scale from 8 countries. The data are: Xiiteracy : 9.2, 7.5, 8.8, 6.5, 4.3, 5.9, 9.7, 8.5 XAuth: 2.1, 3.4, 2.5, 7.3, 8.9, 5.7, 1.3, 2.5 Is there a reliable relationship between the two variables? If yes, what would the predicted authoritarian score of a country where only quarter of the country is literate? What about for a country where the literacy rate is %100? Use alpha = .05.