The following table gives the total endothermic reactions involving sodium bicarbonate Final Temperature Conditions Number of Reactions 266 K 16 271 K 60 274 K 92 Assume that reactions are independent. What is the mean of the number of reactions until the first final temperature is less than 272K? Report answer to 3 decimal places.
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- A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The test statistic is t≈5.627, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the heart rate in the 75∘F room and the heart rate in the 50∘F room is significantly not equal to…A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?There are 5000 observations in a data set. 10% of the data are “1”s, while the rest are “0”s. If we oversample “1”s to 50%, how many data points will be excluded from the analysis? Assume that the original percentages of “1” and “0” are restored in the validation data. Show all calculations.
- Calculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??Suppose that we identify 155 women 50 to 54 years of age who have both a mother and a sister with a history of breast cancer. 18 of these women themselves have developed breast cancer at some time in their lives. If we assume that the proportion of breast cancer cases in women whose mothers have had breast cancer is 8%, does having a sister with the disease increase the risk? Find the p-value.An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.
- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?A researcher decides to follow a group of 8 individuals taking a specific anti-TNF drug used to treat inflammatory conditions over an 8-year period of time in a study to determine how many of them will develop an immunity to the drug and at what point in time each individual will develop an immunity to the drug. What proportion of individuals did not develop an immunity to the anti-TNF drug during the 8 years they were tracked throughout the study, assuming the study concluded at the 8-year point?A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 79%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in mot e than 79% of married couples. In a random sample of 225 married couples who completed her program, 194 of them stayed together. is there enougn evidence to suppore che marriage counselor's claim at the 0.10 level of sionificance:
- A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.Table 1 shows the total amount spent in Malaysia by tourists from Saudi Arabia and Japan from 2010 to 2019. Based on Table 1, at the 0.01 level of significance, can we conclude that tourists from Saudi Arabia spent less than those from Japan. Table 1: Amount spend by tourists from Saudi Arabia and Japan Year Saudi Arabia Jepun 2010 0.7 1.1 2011 0.7 1.1 2012 0.8 1.4 2013 0.8 1.5 2014 1.1 1.8 2015 1.0 1.6 2016 1.3 1.3 2017 1.2 1.2 2018 1.3 1.7 2019 1.4 2.3A report about an isolated community claims there are more newborn females than males, although we assume equal frequencies for each. Records indicate 628 boys and 718 girls born in the past month. What are H0 and Ha? Compute χ2obt. What is χ2crit? What do you conclude about birthrates in this community?