Below, the two-way table is given for a class * of students. Freshmen Sophomore Juniors Seniors Total Male 4 2 Female 3. 4. 3 Total If a student is selected at random, find the probability the student is a freshman given that the student is male. P( Freshman | Male) = [ ? ]% Round to the nearest whole percent. %3D Enter
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- A professor found out from a senior professor that engineering students in Harp University tend to do good in their Engineering Management subject, claiming that historically, the mean grade of engineering students in the said course is 1.50. Curious if this claim was true, the professor took a random sample of 9 students who took the engineering management subject. Before collecting data, he was undecided about his own claim because he knew of some students who did really good in the course but has also encountered others who did poorly. He found that their mean grade for the course is 1.35 with a standard deviation of 0.50. Use the Test of Significance Approach in testing the professor’s claim. a. Estimate population mean at 90% confidence interval. b. Between z and t, which is more appropriate to use given the data? Why? c. What are the chances that your estimate of population mean was wrong? Describe and explain a potential source of error to your estimate. d. Holding % of CI…Nationally, the proportion of red cars on the road is 0.12. A statistically-minded fan of the Philadelphia Phillies (whose team color is red) wonders if fans who park at Citizens Bank Park (the Phillies home field) are more likely to drive red cars. One day during a home game, he takes an SRS of 210 cars parked in the lot while a game is being played, and counts 35 red cars. (There are 21,000 parking spaces.) Is this convincing evidence that Phillies fans prefer red cars more than the general population? Provide statistical evidence to support your conclusion. Use the 4-step process.The department of motor vehicles wants to check whether drivers have a slower reaction time after drinking two cans of beer. This was done by selecting a sample of 19 drivers and randomly assigning them to one of the two groups. The reaction times (measured in seconds) in an obstacle course are measured for a group of 10 drivers who had no beer. The other group of 9 drivers were given two cans of beer each and their reaction times on the same obstacle course are measured. Use “N” for no beer and “B” for two cans of beer. It was found that x̅N = 134 seconds and x̅B = 189 seconds. a) Suppose a 95% confidence interval was calculated to be (-12.05, -9.95). What is the correct interpretation of this confidence interval? Group of answer choices We are 95% confident that the true mean difference between the reaction time of those who had no beers and the reaction time of those who had two cans of beer lies between -12.05 and -9.95 seconds. We are 95% confident that the true difference…
- A university employment office wants to compare the time taken by graduates with three different majors to find their first full-time job after graduation. The following table lists the time (in days) taken to find their first full-time job after graduation for a random sample of eight business majors, seven computer science majors, and six engineering majors who graduated in May 2019. find the values A to HA researcher used one-factor ANOVA for independent samples to examine effectiveness of four workout videos. Students who enrolled to the study were randomly divided into four groups with n = 10 participants in each group. Each group exercise to a different workout video and afterwards, all participants completed a survey evaluating the effectiveness of their workout. The partial results of the ANOVA conducted on the collected data are shown in the summary table below: Source SS df MS F Between Treatments ____ ____ ____ ____ Within Treatments 117 ____ ____ Total 159 Part A. Fill in the missing values in the ANOVA Summary table above (see highlighted). Hint. Start from finding the df values for…A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
- A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? (b)What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance.A random sample of n1 = 149 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 8 were found to be high school dropouts. Another random sample of n2 = 123 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? .01 (b) State the null and alternate hypotheses.H0: p1 = p2; H1: p1 ≠ p2 (c) What sampling distribution will you use? What assumptions are you making? (A) The standard normal. The number of trials is sufficiently large. (B)The Student's t. The number of trials is sufficiently large. (C)The standard normal. We assume the population distributions are approximately normal. (D)The Student's t. We assume the population distributions are approximately normal. (d) What is the value of the sample…