In an intelligence test administered on 1000 students, the average was 42 and S. D. 24.Find (i) The number of students exceeding a score 50. (ii) The number of students lying between 30 and 54. (iii)' The value of score excceded by top 100 students.
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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?50 people are selected randomly from a certain population and it is found that 14 people in the sample are over 6 feet tall. What is the point estimate of the true proportion of people in the population who are over 6 feet tall?
- 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 0.25.2) Assume that a population of thousands of people whose responses were used to develop an anxiety test had scores that were normally distributed with μ = 30 and σ = 10. What proportion of people in this population would have anxiety scores within each of the following ranges of scores? a) Between 10 and 50 b) Below 10 Please show your calculations (i.e., do not limit yourself to just showing the end result).A random sample of 354 persons showed that 306 do not have health insurance. Calculate the point estimate of the population proportion of persons who do not have health insurance. Round to 4 decimal places.
- Calculate the coefficient of alienation. Predict the Y score for someone who obtains an X score of 6. If the prediction is wrong, by how much do you expect it to be wrong?What is your conclusion using a one sided z test if you assume α=0.01 and test the hypothesis that the proportion of colic is less among infants of mothers who don’t smoke than among the infants of mothers who smoke?A random sample of 5000 people was conducted to determine whether the proportion of Indiana residents who own an iPhone is the same as the national proportion of 57%. It was determined that out of the 5000 individuals sampled, 2,805 owned an iPhone. Report the p-value of the test to four decimal places.
- A sample of 130 is drawn from a population with a proportion equal to 0.67 **Round to four decimal places as needed**1. NCAE shows that the average score of the students is 80 and sd is 15. What is the percentile rank of a score of 84?A score that is 3 points lower than the sample mean has a z-score of z = -0.25, and a score of X = 44 has a z-score of –0.75. What is the sample mean?
