1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mashcka [7]
3 years ago
7

You measure 50 textbooks' weights, and find they have a mean weight of 37 ounces. Assume the population standard deviation is 5.

2 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places
Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

Step-by-step explanation:

We are given that you measure 50 textbooks' weights, and find they have a mean weight of 37 ounces.

Assume the population standard deviation is 5.2 ounces.

Firstly, the Pivotal quantity for 90% confidence interval for the population mean is given by;

                           P.Q. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean weight = 37 ounces

           \sigma = population standard deviation = 5.2 ounces

           n = sample of textbooks = 50

           \mu = true population mean textbook weight

<em>Here for constructing 90% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

<u></u>

<u>So, 90% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5%

                                            level of significance are -1.645 & 1.645}  

P(-1.645 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.645) = 0.90

P( -1.645 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.645 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.90

P( \bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } } , \bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } } ]

                                          = [ 37-1.645 \times {\frac{5.2}{\sqrt{50} } } , 37+1.645 \times {\frac{5.2}{\sqrt{50} } } ]

                                          = [35.79 , 38.21]

Therefore, 90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

You might be interested in
I will give brainliest. Combine the like terms to create an equivalent expression: −5j+(−2j)+3
neonofarm [45]

Answer:

-7j +3

Step-by-step explanation:

-5j -2j +3

-7j +3

like terms are combined. combine the js

8 0
3 years ago
Read 2 more answers
How many lines of symmetry does it have
Anarel [89]

Answer:

14

Step-by-step explanation:

3 diangonalss joined togeheter is call a symertry

4 0
3 years ago
After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting
LuckyWell [14K]

Answer:

Step-by-step explanation:

Find the unit rate for this painting:

 3/5 of wall surface            3/5              15            9

------------------------------- = --------------- * --------- = -----------

         (8/15) hour                 8/15             15             8

Jane could actually paint the whole wall plus 1/8 more of it in one hour.

5 0
3 years ago
How do you divide 2\3 divided by 7\8 using kcf answer
xz_007 [3.2K]

Answer: \frac{16}{21}

<u>Step-by-Step Explanation:</u>

KCFmeans: Keep, Change, Flip

  • Keep: the first fraction
  • Change: the sign <em>from division to multiplication</em>
  • Flip: the second fraction

  \frac{2}{3} ÷ \frac{7}{8}

= \frac{2}{3} * \frac{8}{7}   <em>KCF is applied here!</em>

= \frac{2(8)}{3(7)}

= \frac{16}{21}



7 0
3 years ago
Andre adds 0.25 milliters of dye to 12.3 of water how many milliters does the mixture contain​
Tasya [4]
Jttjrjtjjtjtjttjhfjduudud
4 0
3 years ago
Other questions:
  • The distance between Lakeview and Sun Valley s 89 km. About how far is this in miles
    13·1 answer
  • A division equation that has solution of 1,350
    7·2 answers
  • What is the correct order for solving any literal multi-variable equation
    6·1 answer
  • Alg 1 Wee
    6·1 answer
  • Briana has just finished her sixth grade scrapbook.in her scrapbook,47% of the pages include her twin sister,Bethany.The scrapbo
    14·2 answers
  • How can I multiply the fraction 2/8 x 16 to get an answer greater than 16?
    13·1 answer
  • Katie wants to collect over
    15·1 answer
  • 2x - 2 &lt;4 solve for x
    10·2 answers
  • Choose all answers that apply:
    14·1 answer
  • PLSS HELP ME CUS YES
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!