if : A follows chi squared distribution with 3 degrees of freedom B follows chi square distribution with 5 degrees of freedom Then what is the distribution of 3A/B
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if :
A follows chi squared distribution with 3 degrees of freedom
B follows chi square distribution with 5 degrees of freedom
Then what is the distribution of
3A/B
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- An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…ople who exercise frequently tend to have lower resting heart rates. The mean resting heart rate for adults is 65 BPM (beats per minute). The standard deviation is 7 BPM. Resting heart rate is approximately nor- mally distributed (bell-shaped). (a) What is the probability of randomly selecting an adult with a resting heart rate greater than 65 BPM? (b) What is the probability of randomly selecting an adult who has resting heart rate less than 58 BPM? (c) What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70 BPM? (d) Would you consider it umusual for a person to have a heart rate higher than 84 BPM? Why or why not? (e) Serious athletes often have very low resting hcart rates. How low must a per- son's hear rate be if it is lower than approximately 95% of the population?Identify and sketch three distribution shapes that are symmetric.
- The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 12 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 9, 5, 5, 7, 8, 5, 7, 7, 9, 5, 6, 9 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: pv = 7 H: pv> c. The test statistic t v = -0.352 (please show your answer to 3 decimal places.) d. The p-value = 0.3657 X (Please show your answer to 4 decimal places.) e. The p-value is >vV a vX the null hypothesis. f. Based on this, we should reject g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly more than 7 at a = 0.10, so there is statistically significant evidence to conclude that the population mean wait time…The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 12 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 9, 5, 5, 7, 8, 5, 7, 7, 9, 5, 6, 9 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: P Select an answer H1: pv Select an answer v c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is >v f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that .. O The data suggest the populaton mean is significantly more than 7 at a = 0.10, so there is statistically significant evidence to conclude that the population…The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 minutes. Is the mean wait time different for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 14, 13, 17, 16, 17, 17, 13, 14, 15, 14, 16, 15, 14 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer v H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 15 at a = 0.10, so there is statistically insignificant…
- The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)Use the three distributions labeled i,ii,iii to answer the following questions (shown in picture upload)Plz urgently
- Q4The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes. Is the mean wait time different for men who wear a tie? Wait times for 14 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 10, 13, 12, 12, 9, 12, 12, 13, 10, 11, 12, 13, 11, 10 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v H1: ? v Select an answer v c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 12 at a = 0.10, so there is statistically insignificant evidence…Following are the marks distribution of 50 students in stats course: 10--15 20 Marks 0---5 5--10 15---20 20--25 No. of students 5 10 10 Calculate Mean, Median and Mode and identify the shape of distribution?
