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
gulaghasi [49]
3 years ago
11

A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel

chains. There were 103 responses. The average time these 103 general managers had spent with their current company was 11.7 years. Give a 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company. (Take it as known that the standard deviation of time with the company for all general managers is 3.6 years.)
Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  $\bar x \pm Z \times \frac{s}{\sqrt n}$

                   $= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

                    $(10.78483, 12.61517)$

You might be interested in
What is the equation of the line that passes through the point (1,0) and is perpendicular to the line x+5y=30
Andre45 [30]

Answer:

The equation of line passing through points (1 , 0) is  x - 5 y - 1 = 0    

Step-by-step explanation:

Given equation of line as

x + 5 y = 30

Now, equation of line in standard form is y = m x + c

where m is the slope

So,  x + 5 y = 30

Or, 5 y = - x + 30

Or, y = - \frac{1}{5} x + 6

So, Slope of this line m = - \frac{1}{5}

Again , let the slope of other line passing through point (1 , 0) is M

And Both lines are perpendicular , So , products of line = - 1

i.e m × M = - 1

Or, M = - \frac{1}{m}

Or, M = - 1 × - \frac{1}{\frac{1}{5}} =  \frac{1}{5}

So, equation of line with slope M and points (1, 0) is

y - y_1 = M × (x - x_1)

Or, y - ( 0 ) =  \frac{1}{5} × ( x - 1 )

Or, y  =  \frac{1}{5} x - \frac{1}{5} × 1

Or, y  =   \frac{1}{5} x - \frac{1}{5}

or, y + \frac{1}{5} =   \frac{1}{5} x

Or, 5×y + 1  =   x

∴ 5 y + 1 =  x

I.e  x - 5 y - 1 = 0

Hence The equation of line passing through points (1 , 0) is  x - 5 y - 1 = 0   Answer

7 0
3 years ago
with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
dolphi86 [110]
Judy's distance from the intersection: d

<span>When Jackie is 1 mile farther from the intersection than Judy:
</span>Jakie's distance from the intersection: d+1

T<span>he distance between them is 2 miles more than Judy’s distance from the intersection: d+2

</span>How far is Jackie from the intersection?
d+1=?

Using the Pythagoras Theorem:
c^2=a^2+b^2; a=d, b=d+1, c=d+2
(d+2)^2=(d)^2+(d+1)^2
(d)^2+2(d)(2)+(2)^2=d^2+(d)^2+2(d)(1)+(1)^2
d^2+4d+4=d^2+d^2+2d+1
d^2+4d+4=2d^2+2d+1
d^2+4d+4-d^2-4d-4=2d^2+2d+1-d^2-4d-4
0=d^2-2d-3
d^2-2d-3=0
Factoring:
(d-3)(d+1)=0

d+1=0→d+1-1=0-1→d=-1<0 (negative): No possible. The distance can't be negative.

d-3=0→d-3+3=0+3→d=3 miles>0 (positive): Ok

Jakie's distance from the intersection=d+1=3+1→d+1=4 miles

Answer: <span>Jackie is 4 miles far from the intersection
</span>
Please, see the attached file.
Thanks


6 0
3 years ago
Write an equation in slope-intercept form for the line described.
Murljashka [212]

Answer:

y = 4x + 4

Step-by-step explanation:

If this equation is parallel to y = 4x + 2, that means it would have the same gradient. And since the y-intercept is stated, you just need to put it next to the gradient

4 0
3 years ago
A bowling alley charges 3.25 to rent shoes and an additional 1.25 for each game of bowling played. Jordan spent a total of $17.
irinina [24]

$3.25 + $1.25n= $17 should be jt

3 0
3 years ago
PLEASE ANSWER FAST!!!
krok68 [10]
The more reasonable measurement of the distance between the tracks on a CD is 1.6 ⋅ 10^-3 mm. This is also equal to 0.0016mm. <span>1.6 ⋅ 10^3 mm is too large for a CD track</span>
8 0
3 years ago
Other questions:
  • SOMEONE PLEASE HELPP!!!!!!!!
    15·2 answers
  • What type of parent function does the equation f (x) = 1/x
    13·1 answer
  • Solve this equation for x <br> 2/3 (x-7)=-2
    7·1 answer
  • What is the prime factorization of 48?<br><br> 4 × 12<br> 2 4 × 3<br> 2 3 × 3 2<br> 2 3 × 6
    8·1 answer
  • Which is the lowest rate? 8 cashiers for 96 people or 2 cashiers for 20 people
    9·1 answer
  • Ali bought 4 CDs that were each the same price. Including sales tax, he paid a total of 43.60 dollars. Of that total, 2.80 dolla
    9·1 answer
  • What is the slope of the line through (-7, -8) and (0,4)
    15·1 answer
  • Describe each as below sea level, at sea level, or above sea level.
    10·1 answer
  • Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 fo
    6·1 answer
  • HELP PLEASE I WILL GIVE BRAINLIEST IF I CAN
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!