The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month. The past year's usage and temperatures are in the following table: Month Temp. Usage/1000 Jan. 21 185.79 Feb. 24 214.47 Mar. 32 288.03 Aprг. 47 424.84 May 50 454.58 June 59 539.03 July 68 621.55 Aug. 74 675.06 Sept. 62 562.03 Oct. 50 452.93 Nov. 41 369.95 Dec. 30 273.98 (a) Test for significance of regression using a = 0.01. What is the P-value for this test? State the conclusions that result from this test. The model at a = 0.01. P-value 0.000001.
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- The department of education ran a very comprehensive study in the 1990's to determine the GPA of first generation college students (those who are the first in their family to go to college) in their freshman year. The mean GPA for first generation college students was stated in teh report to be 2.37 for males and 2.21 for females. In 2018, a consumer advocacy group is interested in whether the average GPA for first generation college females was still smaller than their male counterparts. Assume the GPA's are normally distributed. A. State the null hypothesis and the alternative hypothesis. Is the advocacy group interested in a one tail or two tail test (brief explanation)? B. Find the value of the test statistic and an associated p-value (or a range for teh p-value) if 25 males SAR yielded an average GPA 2.46 with a standard deviation of 0.16 and 25 females SAR yeilded an average GPA 2.39 with a standard deviation of 0.12. C. Determine if the test requires use of the Z table or…A nutritionist believes that obesity is more prevalent among American adults than it was in the past. He discovers that in a study conducted in the year 1994, 380 of the 1630 randomly chosen adults were classified as obese. However, in a more recent study, he finds 726 out of 2350 randomly chosen adults were classified as obese. At α = 0.05, do these studies provide evidence to support the nutritionist's claim that the proportion of obese adults has significantly increased since 1994?A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the mean hourly yield of a chemical process beyond the current mean hourly yield, which is known to be roughly equal to, but no more than, 750 pounds per hour. To test the new catalyst, five trial runs using catalyst XA-100 are made. Assuming that all factors affecting yields of the process have been held as constant as possible during the test runs, it is reasonable to regard the five yields obtained using the new catalyst as a random sample from the population of all possible yields that would be obtained by using the new catalyst. Furthermore, we will assume that this population is approximately normally distributed. Regard the sample of 5 trial runs for which s = 19.00 as a preliminary sample. Determine the number of trial runs of the chemical process needed to make us: (Round up your answers to the next whole number.) (a) 95 percent confident that x¯ , the…
- A different investor decides to invest $8000 in Fund A and $3000 in Fund B. Assuming the amounts gained by the two funds are independent, what are the mean and standard deviation of the amount gained by this investment in the first month?A 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?a sample of 4 students was taken and information about daily pocket money in tl (Y) and spending in tl (x) was collected
- According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a) Is the normality condition met for this test? (see picture) No, since the histograms show skewness and outliers . Yes, since both sample sizes are larger than 30. No, since both sample sizes, nY and nS, are less than 30. Yes, since it was stated that the two populations are normally distributed. b)What are the correct degrees of freedom for this test? Group of answer choices 999 1000 1712 1711 711According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a)Suppose the test statistic is t = 2.398. What is the associated p-value? Group of answer choices 0.001 < p-value < 0.002 0.005 < p-value < 0.01 0.01 < p-value < 0.02 0.0005 < p-value < 0.001 b) Suppose the p-value is 0.02 < p-value < 0.04. At α = 0.10 what is the appropriate conclusion to make? Group of answer choices Fail to reject H0 and conclude that the mean weight of all males ages 20-29 is greater than the mean weight of all…According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. A) What are the correct null and alternative hypotheses? B)What is the parameter of interest? The difference between the mean weight of all males ages 20-29 and the mean weight of all males ages 75+ The mean weight (in kg) The difference between the mean weight of the sample of males ages 20-29 and the mean weight of the sample of males ages 75+ The mean difference between the weights of males ages 20-29 and males ages 75+ c)Is the randomness condition met for…
- Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)A manufacturing company claims that the average lifetime of their incandescent lamps is 1300 hours. A random sample of 16 lamps are tested, and their lifetimes, in hours. Refer to pictures for both what to find and the lifetimes table, in hours.An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.