Zhelong claimed she needs different to 29 minutes on average to repair broken customers' computers. A total of 20 computers left by customers were randomly selected. Through the record from the sample, the average time taken was 28.5 minutes with a standard deviation of 2.5 minutes. Assume the time is normally distributed. (i) Determine is the population standard deviation given for the above case study? (ii) Test the claim at a 5% significance level using a critical value approach.
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- One group of 50 students took a distance learning class, while another group of 25 took the same course in a traditional face-to-face classroom. Both group were given the same mid-term test. The average score of the distance learning group was 54.6 with a standard deviation of 12.4. The average score for the group who took the course in the traditional format was 60.6 with a standard deviation of 14.5. At a significance level of 0.1, can it be concluded that there is a difference in average score of students between the distance learning and face-to face instruction formats? Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Note: Index “v” refers to the population of students taking distance learning classes (virtual mode) and index “f” refers to the population of students taking face-to-face classes (traditional mode). For example if you believe formulation number 4 below is the most appropriate…A nurse in the immunization clinic claims that the mean age at which children start walking is 12.5 months. Dr Allan wanted to check if this claim is true. He took a random sample of 20 children and found that the mean age at which children started walking was 12.9 months with a standard deviation of 0.80 month. Using a 5% level of significance, test the hypothesis that the mean walking age is different from 12.5 months. Based on the result of the test statistic can we conclude that the mean population age at which children start walking is different from the sample mean ageThe mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? H0: yearsH1: years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)p-value = (Give answer to at least 4 decimal places) Based on the above we choose to The correct summary would be: that the claim that the mean age smokers first start is different than 13.
- Many cheeses are produced in the shape of a wheel. Because of the differences in consistency between these different types of cheese, the amount of cheese, measured by weight, varies from wheel to wheel. Heidi Cembert wishes to determine whether there is a significant difference, at the 10% level, between the weight per wheel of Gouda and Brie cheese. She randomly samples 18 wheels of Gouda and finds the mean is 1.3 lb with a standard deviation of 0.3 lb; she then randomly samples 10 wheels of Brie and finds a mean of 0.95 lb and a standard deviation of 0.21 lb. What is the df and p-value for Heidi's hypothesis of equality? Assume normality. (Give your answer correct to four decimal places.)The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 30 smokers found that their mean starting age was 12.2 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? H0: yearsH1: years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)Critical Values =± (Give answer to at least 4 decimal places) Based on the above we choose to The correct summary would be: that the claim that the mean age smokers first start is different than 13.The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 33 smokers found that their mean starting age was 12.3 years old. Do the data support the claim at the 5% significance level? What are the correct hypotheses? Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 2 decimal places) From the table(https://ma336.qccmathcs.com/ ), Find p-value = (Give answer to at least 4 decimal places)
- Is there strong evidence of global warming? Let’s consider a small scale example, comparing how temperatures have changed in the US from 1968 to 2008. The daily high temperature reading on January 1 was collected in 1968 and 2008 for 51 randomly selected locations in the continental US. Then the difference between the two readings (temperature in 2008 - temperature in 1968) was calculated for each of the 51 different locations. The average of these 51 values was 1.1 degrees with a standard deviation of 4.9 degrees. We are interested in determining whether these data provide strong evidence of temperature warming in the continental US. (d) Calculate the test statistic and find the p-value. (e) What do you conclude? Interpret your conclusion in context. (f) Calculate a 90% confidence interval for the average difference between the temperature measurements between 1968 and 2008. Interpret this interval in context. (g) Does the confidence interval provide convincing evidence that the…According to a city's estimate, people on average arrive 1.5 hours early for domestic flights. The population standard deviation is known to be 0.5 hours. A researcher wanted to check if this is true so he took a random sample of 50 people taking domestic flights and found the mean time to be 2.0 hours early. At the 1% significance level, can you conclude that the amount of time people are early for domestic flights is more than what the city claims. Will you reject or not reject the null hypothesis and what is your conclusion in words? O Reject the null hypothesis; the city's claim is true. O Do not reject the null hypothesis; the city's claim is false and people arrive earlier than the city claims. O Reject the null hypothesis; the city's claim is false and people arrive earlier than the city claims. O Do not reject the null hypothesis; the city's claim is true.The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 28mm Hg and standard deviation 15 mm Hg. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is x = 126.07 mm Hg. At a 5% significance level, the data fail to show significant evidence that the mean blood pressure of a population of executives differs from the national mean = 128 mm Hg. The medical director now wonders if the test used would detect an important difference if one were present. Use the applet to calculate the power of the test against the alternative μ = 122 mm Hg. Provide your answer to three decimal places. Power =
- Independent random samples of patients who had received knee and hip replacement were asked to assess the quality of service on a scale from 1 (low) to 7 (high). For a sample of 83 knee patients, the mean rating was 6.543 and the sample standard deviation was 0.649. For a sample of 54 hip patients, the mean rating was 6.733 and the sample standard deviation was 0.425. Test, against a two-sided alternative, the null hypothesis that the population mean ratings for these two types of patients are the same.One group of 50 students took a distance learning class, while another group of 25 took the same course in a traditional face-to-face classroom. Both group were given the same mid-term test. The average score of the distance learning group was 52.0 with a standard deviation of 15.4. The average score for the group who took the course in the traditional format was 58.0 with a standard deviation of 18.0. At a significance level of 0.1, can it be concluded that there is a difference in average score of students between the distance learning and face-to face instruction formats? Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Note: Index "v" refers to the population of students taking distance learning classes (virtual mode) and index "" refers to the population of students taking face-to-face classes (traditional mode). For example if you believe formulation number 4 below is the most appropriate…The mean age when smokers first start is 13 years old with a population standard deviation of 1.8 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 32 smokers found that their mean starting age was 12.4 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? H0: Select an answer s² s p̂ x̄ σ p σ² μ ? ≥ = > ≠ < ≤ yearsH1: Select an answer p s s² σ² μ σ p̂ x̄ ? ≤ = ≥ < ≠ > years Based on the hypotheses, find the following: Test Statistic z = (Give answer to at least 4 decimal places)Critical Values =±± (Give answer to at least 4 decimal places) Based on the above we choose to Select an answer Accept the null hypothesis Accept the alternative hypotheis Fail to reject the null hypothesis Reject the null hypothesis The correct summary would…