Question

In: Statistics and Probability

The table below gives the average high temperatures in January and July for 12 random cities...

The table below gives the average high temperatures in January and July for 12 random cities in a region with 180 cities. Write a 95​% confidence interval for the mean temperature difference between summer and winter in the region. Mean High Temperatures ​(degrees​F)

City A B C D E F G H I J K L

July 75 71 77 76 89 87 69 87 73 65 77 84

Jan. 34 36 43 34 56 54 42 46 44 44 22 37

The confidence interval is ?

Solutions

Expert Solution

Let and be the means , and be the standard deviation and and be the sizes of the samples. Let us first compute the means and standard deviations of the samples.

  

Now pooled standard deviation is given by,

t value at degrees of freedom is given by,

Therefore, the 95% confidence interval of difference in means is given by,

That is,

Therefore, the required answer is

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The table below gives the average high temperatures in January and July for 12 random cities...
The table below gives the average high temperatures in January and July for 12 random cities in a region with 192 192 cities. Write a 99 99​% confidence interval for the mean temperature difference between summer and winter in the region. Mean High Temperatures ​( degrees °​F) City A B C D E F G H I J K L July 73 71 78 74 91 88 71 87 74 65 74 85 Jan. 35 37 40 37 56 53...
6. Listed below are actual high temperatures and the high temperatures that were forecast five days...
6. Listed below are actual high temperatures and the high temperatures that were forecast five days earlier. Use a .05 significance level to test the claim of a zero mean difference between the actual high temperatures and the high temperatures that were forecast one day earlier. Use our 4-step procedure. This is a matched or paired samples hypothesis test. Actual high: 80 77 81 85 73 High forecast one day earlier: 78 75 81 85 76 Step 1: Ho____. Ha:...
The table below gives the age and bone density for 12 randomly selected women. Using this...
The table below gives the age and bone density for 12 randomly selected women. Using this data, consider the equation of the regression line, y = b0 + b1x, for predicting a woman's bone density based on her age. Age 35 33 65 68 70 55 66 Bone Density 340 345 320 313 316 320 317             Step 1. Find the estimated slope. Round your answer to three decimal places. What does this value mean?             Answer: ____________________ Step 2....
The table below contains the average daily temperature (C) in two cities: NYC and Philly, recorded...
The table below contains the average daily temperature (C) in two cities: NYC and Philly, recorded during the month of July. Transform the dataset from the wide to the long format. i.e. the new table should have three columns: day, city, and temperature. import numpy as np np.random.seed(seed=0) Cities = ['New York City','Philadelphia'] Temperatures_Data = [] Day = 1 for i in range(100):        Daily_Temperatures = [Day]     for City in Cities:         Temperature = round(np.random.normal(loc=50,scale=12),2)         Daily_Temperatures.append(Temperature)     Temperatures_Data.append(Daily_Temperatures)...
The table below gives beverage preferences for random samples of teens and adults.   teens adults...
The table below gives beverage preferences for random samples of teens and adults.   teens adults total coffee 50 200 250 tea 100 150 250 soft drinks 200 200 400 other 50 50 100   400 600 1000 a. We are asked to test for independence between age (i.e., adult and teen) and drink preferences. With a .05 level of significance, the critical value for the test is? (a. 1.645 b. 7.815 c. 14.067 d. 15.507) b. The expected number...
The table below lists the earnings (in thousands of dollars) of a random sample of 12...
The table below lists the earnings (in thousands of dollars) of a random sample of 12 male and 12 female salespersons. At alpha = 0.10 can you conclude that there is a difference between males’ and females’ earnings? Male 28 43 64 51 48 44 36 45 67 49 40 65 Female 36 27 51 43 35 48 41 37 34 47 50 43 The claim is “there is a difference between males’ and females’ earnings”
1. The table below gives the 20 values from the Class Survey: What Was Your High...
1. The table below gives the 20 values from the Class Survey: What Was Your High School G.P.A. taken in my afternoon class earlier this semester. At the time, we considered this data to be a sample, but for the purposes of this assignment, assume this data represents a population. 1.9 2.4 2.5 2.8 2.8 2.9 2.9 3.0 3.0 3.0 3.1 3.2 3.2 3.2 3.4 3.6 3.7 3.8 4.0 4.0 1. Use 1-Var Stats to calculate the mean, , and...
Suppose you want to know if there is a difference in the average high temperatures in...
Suppose you want to know if there is a difference in the average high temperatures in February 2019 for three different areas. you record the following temperatures randomly for the three cities. A B C 18 -11 14 23 11 23 39 12 40 8 4 21 -4 -2 12 You decide to run a one-way ANOVA test on this data. A) write down the null and research hypotheses you are testing B) What are the F- statistic and P...
The table below gives beverage preferences for random samples of teens and adults. Beverage Teens Adults...
The table below gives beverage preferences for random samples of teens and adults. Beverage Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 25 75 100 Total 375 625 1,000 We are asked to test for independence between age (i.e., adult and teen) and drink preferences. ​ Refer to Exhibit 11-5. The result of the test is that the Question 11 options: hypothesis of independence can be rejected hypothesis of independence cannot...
The table below gives the joint distribution between random variables X and Y . y 0...
The table below gives the joint distribution between random variables X and Y . y 0 2 4 x 0 0.03 0.01 0.20 1 0.15 0.10 0.51 (a). [4pts] Find P(X = 0, Y = 2). 1 Problem 2(b). [6pts] Find E[X]. Problem 2(c). [6pts] Find Cov(X, Y ). Problem 2(d). [6pts] Find P(X = 1|Y = 2).
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT