Meridith picked 4 times as many green peppers as red peppers how many green peppers did she pick.

The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c

kondor19780726 [428]

Answer:

$H_0:\mu = 45$ and $H_a:\mu < 45$

$T = 34.88$

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

$\mu =45$ and $\sigma= 9.1$

This is the null hypothesis i.e.

$H_0:\mu = 45$

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

$H_a:\mu < 45$

Solving (b) and (c): The test statistic (T).

This is calculated using:

$T = \frac{\mu}{\sigma/\sqrt n}$

In this case:

$n = 50$ $\mu =45$ and $\sigma= 9.1$

So:

$T = \frac{45}{9.1/\sqrt{50}}$

$T = \frac{45}{9.1/7.07}$

$T = \frac{45}{1.29}$

$T = 34.88$

Solving (c): Accept or reject null hypothesis

$\alpha = 0.05$

First calculate the degrees of freedom (df)

$df = n - 1 = 50 - 1$

$d f = 49$

From the t distribution table,

At: $d f = 49$ , $\alpha = 0.05$ and $T = 34.88$

the t score is:

$p = 1.676$

$p > 0.05$

<em>So, the null hypothesis is not rejected</em>

7 0

3 years ago

A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents

kicyunya [14]

Answer:

Hamburger Chicken

Adults 65 60 125

children 55 20 75

120 80 200

a)What is the probability that a randomly selected individual is an adult?

Total no. of adults = 125

Total no. of people 200

The probability that a randomly selected individual is an adult = $\frac{125}{200}=0.625$

b) What is the probability that a randomly selected individual is a child and prefers chicken?

No. of child prefers chicken = 20

The probability that a randomly selected individual is a child and prefers chicken= $\frac{20}{200}=0.1$

c)Given the person is a child, what is the probability that this child prefers a hamburger?

No. of children prefer hamburger = 55

No. of child = 75

The probability that this child prefers a hamburger= $\frac{35}{75}=0.46$

d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

No. of adults prefer chicken = 60

No. of total people like chicken = 80

A person has ordered chicken, the probability that this individual is an adult= $\frac{60}{80}=0.75$

3 0

3 years ago

Can you please help me on 6(1+n)=8n-3(n-7)

Nana76 [90]

Answer:

n = 15

Step-by-step explanation:

6(1+n)=8n-3(n-7)

Distribute

6 +6n = 8n -3n +21

Combine like terms

6+6n = 5n +21

Subtract 5n from each side

6+6n-5n = 5n-5n +21

6 +n = 21

Subtract 6 from each side

6-6+n = 21-6

n = 15

3 0

3 years ago

The distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on y

kaheart [24]

Answer:

d(1) = -3 and d(2)= -28

Step-by-step explanation:

Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point

$d(x)=-4x^3+x^2$

For finding out the distances for x=1 and x=2

let us substitute 1 and 2 for x

$d(1) = -4(1^3)+1^2 = -3$

$d(2) = -4(2^3)+2^2 \\= -28$

d(1) = -3 and d(2)= -28

3 0

3 years ago

Simple mathhh help please!!

Neporo4naja [7]

Answer:

A.

Step-by-step explanation:

85/100 = 85%

8 0

3 years ago