The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample of 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.

Answers

Answer 1

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.


Related Questions

round the number 24.9652 to 1 decimal place

Answers

Answer: 25.0

Step-by-step explanation:

25

Answer:

25

Step-by-step explanation:

0.06 rounds up into the .9 which is now a 1

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer: One solution!!

I checked desmos and it only intersected at one point :)

Answer: The answer is ONE Solution

Step-by-step explanation:

A system of equations have no solution when their slopes are the same but they have different y-intercepts. When graphed, the lines cannot intersect for there to be a solution. Looking at both equations, they have different slopes and different y intercepts so you can rule "NO solution" out.

Secondly a system of equations have infinitely many solution if they both share the same slopes and y-intercepts.

Looking at both lines, they have different slopes and different y-intercepts, so you can also rule that out.

A system of equations have one solution if their slopes are different and y intercepts are also different. Looking at the two lines, we can notice that the slope and y-intercepts are all different.

19. The formula P = a + b + cgives the perimeter P of a triangle with side
lengths a, b, and c. A triangular field has sides that measure 33 yards,
56 yards, and 65 yards. What is the perimeter of the field? (6.EE.20)

Answers

Answer:

33 + 56 + 65 = 154

Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper gave the following distances (in centimeters) at which a bat first detected a nearby insect. 24 41 25 68 53 83 43 63 56 34 45 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to four decimal places.) 48.6364 cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to four decimal places.) Variance Standard deviation

Answers

Answer:

[tex]Mean = 48.6364[/tex]

[tex]s^2 = 331.8545[/tex] -- Sample Variance

[tex]s = 18.2169[/tex] --- Sample Standard Deviation

Step-by-step explanation:

Given

[tex]n = 11[/tex]

[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]

Solving (a): The sample mean

[tex]Mean = \frac{\sum x}{n}[/tex]

So:

[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]

[tex]Mean = \frac{535}{11}[/tex]

[tex]Mean = 48.6364[/tex]

Solving (b): Sample variance (s^2)

This is calculated as:

[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]

Where:

[tex]\bar x = 48.6364[/tex]

So:

[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]

[tex]s^2 = \frac{3318.54545456}{10}[/tex]

[tex]s^2 = 331.8545[/tex]

Solving (c): Sample Standard Deviation (s)

This is calculated as:

[tex]s = \sqrt {s^2[/tex]

[tex]s = \sqrt{331.8545[/tex]

[tex]s = 18.2169[/tex]

Identify the graph which shows the figure in graph A, rotated 90° in a clockwise direction around the origin.

Answers

the correct answer would be graph 1

Which ratio is greater? 3 : 4 or 5:6​

Answers

Answer:

5:6 is greater than 3:4.

Which problem can be solved with this equation?
A. Jen has 4 of a meter of ribbon. She buys 6 more meters of ribbon. How many meters of ribbon does she have in all?
B. Jen has f of a meter of ribbon, she wants to give 6 friends equal-size pleces of the ribbon. How many meters of ribbon does each
friend get?
OC. Jen has 6 meters of ribbon. She cuts
soft / of
of the ribbon. How many meters of ribbon does she have left?
OD. Jen has 6 meters of ribbon, she wants to give
of it to her friend. How many meters of ribbon does she give her friend?

Answers

Answer:

I believe the answer is B

Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.
P(−4, −6); m = −3/4

Answers

9514 1404 393

Answer:

  3x +4y = -36

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...

  b = y -mx

For the given point and slope, this is ...

  b = -6 -(-3/4)(-4) = -9

Then the slope-intercept equation is ...

  y = -3/4x -9

We can multiply by 4 to get something we can put in standard form.

  4y = -3x -36

  3x +4y = -36 . . . . standard form equation

a system of equations is show below

5x + 3y=-6
2x+y=-4

which statement about the ordered pair (-6,8) is true?

Answers

yes it is true I have send u photo plz have a look

-6 is x, and 8 is y

5x + 3y=-6
5(-6) + 3(8)=-6
-30 + 24=-6
^^true

2x+y=-4
2(-6)+8=-4
-12+8=-4
^^true

1. Kenny is drawing the outside lines
on a sports field that is 92 feet by
124 feet. What is the total length of
the line he will draw to surround the
field?

Answers

( 124 x 2 ) + ( 92 x 2 ) = 432

Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.

Answers

What is the apply??? Put all of the select all that apply so I can help you

Josie does 9 minutes
of stretches before she runs. She runs for
20 minutes. Then she does 7 minutes of cool
down exercises. The clock shows the end time 3:45 of
her workout. At what time does Josie start her
workout? Describe how you found the time.

Answers

Answer: Josie starts working out at 3:09

Step-by-step explanation: I found this answer by adding the workout time together.

Answer:

3:09

Step-by-step explanation:

First add the total time of the workout

20+9+7=36

then subtract the end time 3:45 with the workout time:

3:45-00:36=3:09

Check work:

3:09+00:36=3:45

ANSWER CORRECTLY WITH REASONING FOR BRAINLIEST
Jaya wants to find out what type of art her fellow students enjoy the most. She asks her classmates: "What is your favorite type of art?"

This question is biased.

True
False

Answers

Answer:false

Step-by-step explanation:because jaya is not giving her opinion she is asking for others opinions.

Which equations are equivalent to 33/x+ 4 = 12? Check all that apply.
3x + 4 = 9
43 = 3x + 4
O x + 4 = 64
U 3+ 4 = - 4
0 60 = x

Answers

Answer:

option c

x + 4 = 64

and

option e

x = 60  

Step-by-step explanation:

Given in the question an expression

3∛x+4 = 12

∛x + 4 = 12/3

∛x + 4 = 4

Take cube on both sides of the equation

∛(x + 4)³ = 4³

x + 4 = 64

x = 64 - 4

x = 60  

In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average number of billed hours per day is 158 with a standard deviation of 65 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increased, what is the null and alternative hypotheses (please write out the null and alternative hypotheses below AND on your scratch work...failure to do BOTH will result in 0 points)

Answers

Answer:

There isn't enough evidence to reject H0

Step-by-step explanation:

Null hypothesis :

H0: μ = 150

H1 : μ > 150

Decision region :

Reject Null if ;

Pvalue < α

Zstatistic = (x - μ) / (s/sqrt(n))

Zstatistic = (158 - 150) / (65/sqrt(85))

Zstatistic = 0.1135

Using the P value calculator from Zstatistic at 90% ; α = 0.10 confidence interval ; one tailed test = 0.128

Pvalue = 0.128

Since ; 0.128 > 0.10

Pvalue > α

We cannot reject H0:

Helpppp please !!! Due in an hour

Answers

Answer:
y=-2/3x-4

The slope is rise over run. The y-intercept is where the line goes through y.

Select the correct answer.

Consider this absolute value function.

f(x) = [ x + 3 ]

If function f is written as a piecewise function, which piece will it include?

A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3

Answers

Answer:

B) x + 3, x > -3

Step-by-step explanation:

I just took a test with this question on it and got it right.

Hope this helps! :)

If function f is written as a piecewise function, it will include x + 3, x > -3

The absolute value function is given as:

f(x) = | x + 3 |

Given that the function is an absolute value function, this means that:

|x + 3| > 0

Remove the absolute sign

x + 3 > 0

Subtract 3 from both sides

x > -3

Hence, if function f is written as a piecewise function, it will include x + 3, x > -3

Read more about absolute value functions at:

https://brainly.com/question/10538556

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, What is the slope of the line represented by 2x + 5y = 10?

Answers

Answer: -2/5

Step-by-step explanation:

To find the slope, we set the function use y = mx + b forms.

2x + 5y = 10

        5y = -2x + 10              Minus 2x in both side

           y = -2/5x + 10/5       Divide 5 from both side

           y = -2/5x + 2

In the y = mx + b, the m before variable x is always the slope, so -2/5 is the slope for 2x + 5y = 10.

hii they asked this again but in cm ​

Answers

Answer:

9 + 9 + 3 + 3 = 24

P = 24 cm

9 x 3 = 27

A = 27 square cm

(I think those are the answers, hope it helps <3 )

1/4 divided by 5 explain how you do it

Answers

Answer: It would be 0.05 because it’s just simple math, I just learned this today at school.

I mean I think it’s simple math

Step-by-step explanation:

Harper you have a Great Day or Night, and also I hope it was helpful!!! : )

can you help me please ​

Answers

Answer:

[tex]log_372 = 3.8928[/tex]

Step-by-step explanation:

Given

[tex]log_38 = 1.8928[/tex]

Required

Evaluate [tex]log_372[/tex]

We have:

[tex]log_372 = log_3(8 *9)[/tex]

Apply law of logarithm

[tex]log_372 = log_38 +log_39[/tex]

Express 9 as 3^2

[tex]log_372 = log_38 +log_33^2[/tex]

Evaluate the exponents

[tex]log_372 = log_38 +2log_33[/tex]

[tex]log_33 = 1[/tex].

So:

[tex]log_372 = log_38 + 2 * 1[/tex]

[tex]log_372 = log_38 + 2[/tex]

Substitute [tex]log_38 = 1.8928[/tex]

[tex]log_372 = 1.8928 + 2[/tex]

[tex]log_372 = 3.8928[/tex]

Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?​

Answers

Answer:

18

Step-by-step explanation:

32-14=18

18 is the answer I think it is

Convert these mixed numbers into improper fractions.

Answers

Answer:

[tex]2\frac{2}{5}=\frac{12}{5}[/tex]

[tex]3\frac{1}{6}=\frac{19}{6}[/tex]

Step-by-step explanation:

In [tex]2\frac{2}{5}[/tex] you multiply 2x5 which equals 10 and then you add 10+2=12

2x5=10

10+2=12

=[tex]\frac{12}{5}[/tex]

You do the same thing multiply the denominator by the whole number and whatever you get when you multiply add it with the numerator.

3x6=18

18+1=19

=[tex]\frac{19}{6}[/tex]

Solve the equation 3^x+3=5

Answers

3*x+3=5
3*x=2

X=0.67

Sorry if wrong but hope this helps.

Can the table below represent values of a function? explain why.

Answers

Try it yourself, I'll explain the concept

In a function, each x-value matches to exactly one y-value

If it matches to more than one y-value, it is not considered a function

Now look at the x and y values in each table to determine if it is a function or not

:)

Please help!!!!!!!!!

Answers

Answer:

7.823 8.019

Step-by-step explanation:

Those two both will round up to 20 in the hundredths place and both round to 8.

Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️

Answers

Answer:

Step-by-step explanation:

Why is m..?
somebody help please

Answers

Answer:

The last one

Step-by-step explanation:

The fast reason why - all the other scenarios require 3 lines: 2 lines both parallel to a 3rd, or 2 lines cut by a transversal line, etc. The diagram only shows 2 lines. So the right answer must be the one that doesn't require a third line to be present.  :)

The longer answer why - See how angles 2 & 3 have the same style of arc? That is telling you they are of equal measure. So together they are a straight angle, 180°. And they are equal to each other, so 2x = 180° --> each one must be a 90° angle.

Wherever two lines cross, if one angle is a right angle, all 4 angles at the intersection also must be right angles, so everything is perpendicular.

Which table shows a linear relationship

Answers

Answer:

B

Step-by-step explanation:

the answer to the problem is B

What is the approximate area of the circle shown below?

Answers

Answer:

A

Step-by-step explanation:

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