Mathematics, 24.04.2020 21:53 jennypenny123

Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the college of education building. The survey team found a sample mean of 12.3 minutes with a standard deviation of 3.2 minutes. assuming walking time from Fretwell to College of education are normally distribution, which of the following is the correct 95% confidence interval for the population mean of walking times.
A) 12.3LaTeX: \pmLaTeX:±LaTeX:±(1.645)(LaTeX: \frac{3.2}{\sqrt{24}}LaTeX:3.224√La TeX:3.224)
B) 12.3LaTeX: \pmLaTeX:±LaTeX:±(1.90)(LaTeX: \frac{3.2}{\sqrt{24}}LaTeX:3.224√La TeX:3.224)
C) 12.3LaTeX: \pmLaTeX:±LaTeX:±(1.28)(LaTeX: \frac{3.2}{\sqrt{24}}LaTeX:3.224√La TeX:3.224)
D) 12.3LaTeX: \pmLaTeX:±LaTeX:±(2.575)(LaTeX: \frac{3.2}{\sqrt{24}}LaTeX:3.224√La TeX:3.224)
E) 12.3LaTeX: \pmLaTeX:±LaTeX:±(1.96)(LaTeX: \frac{3.2}{\sqrt{24}}LaTeX:3.224√La TeX:3.224) A E B C

Answers: 2

Show answers

Answers

Answer from: fonsworth5

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

Sample mean ( x^ ) = 12.3 mins

Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of walking times is given below:

[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]

[ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]

Answer from: Quest

There’s not enough information to answer this question? ?

Answer from: Quest

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

Another question on Mathematics

Mathematics, 21.06.2019 17:00

27 is what percent of 108? 27 is % of 108

Answers: 2

Answer

Mathematics, 21.06.2019 17:30

Kathy spent 5/8 of her money on books and another 1/6 of her money on stationeries.what fraction of kathy’s money was left?

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

First to answer all gets a donation question 3(multiple choice worth 1 points) (04.01 lc) which of the following levels is lower than cells in the hierarchy of organization of living things? molecules organs organ systems tissues question 4(multiple choice worth 1 points) (04.01 lc) which of these represents an individual form of life such as an animal, plant, or single-celled life form? organ organism organ system tissue question 5(multiple choice worth 1 points) (04.03 lc) what are the green structures inside plant cells where photosynthesis takes place called? chloroplast mitochondrion nucleus vacuole question 6(multiple choice worth 1 points) (04.03 lc) which of the following best matches a part of a living cell with the function it performs? cytoplasm: fluid which carries the nucleus and other organelles vacuole: fluid which carries the nucleus and other organelles cytoplasm: directs all of the cell's activities vacuole: directs all of the cell's activities question 7(multiple choice worth 1 points) (04.03 mc) read the table below. organelles of plant cells present in both plants and animals present in plants but not animals small in animals but large in plants organelle a organelle b organelle c which statement is most likely correct? organelle a is chloroplast, organelle b is cytoplasm, and organelle c is nucleus. organelle a is mitochondrion, organelle b is cytoplasm, and organelle c is nucleus. organelle a is cell wall, organelle b is chloroplast, and organelle c is mitochondrion. organelle a is mitochondrion, organelle b is chloroplast, and organelle c is vacuole. question 8(multiple choice worth 1 points) (04.03 mc) what will most likely happen in the absence of a nucleus? genetic information will not be transmitted by the cell. energy will not be released during cellular respiration. the cell will not store food, water, nutrients, and waste. the cell will lose its shape and structure.

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below.

Answers: 1

Answer

You know the right answer?

Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from...

Questions

Mathematics, 28.10.2020 19:40

1.2.1 - You have a piece of wood that measures 112 inches. You want to cut it up into 4 equal pieces so that each piece is exactly 25% of the total le...