How long will it take Carlos to walk 12 miles if he is walking 4 mph?

A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co

Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

Let p = proportion of the population who prefer fresh-brewed coffee

So, Null Hypothesis, $H_0$ : p $\leq$ 50% {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, $H_A$ : p > 50% {means that the majority of people prefer the taste of fresh-brewed coffee}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion who prefer fresh-brewed coffee = $\frac{34}{50}$ = 0.68

n = sample of subjects = 50

So, test statistics = $\frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }$

= 2.73

The value of z test statistics is 2.73.

Now, P-value of the test statistics is given by;

P-value = P(Z > 2.73) = 1 - P(Z $\leq$ 2.73)

= 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

4 0

3 years ago

1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe

xxMikexx [17]

a)

Let t represents number of years after 1900

so that means for 1900, value of t is 0

We are given point as (0,55)

and it says that life expectancy increases by 0.2

so that means slope,m=0.2

equation of line is y=mt +b

or y=0.2t +b

now we use point (0,55)

55 =0.2(0) +b

55 =0+b

55= b

so b=55

plug it back into the equation,we get

y=0.2t +55

b)

We are given y=73

so we plug it into the equation we got in part a and solve for t

y=0.2t +55

73 =0.2t +55

73-55 =0.2t

18 =0.2t

18/0.2 =t

90 =t

so t=90

This means the birth year =1900+t =1900+90 =1990

5 0

3 years ago

I need help asap ! this is 6th grade math surface area .

faltersainse [42]

Answer:

Step-by-step explanation:

We have:

two rectangles 2 × 3

two rectangles 3 × 5

two rectangles 2 × 5

Calculate the areas:

A₁ = (2)(3) = 6

A₂ = (3)(5) = 15

A₃ = (2)(5) = 10

The Surface Area:

S.A. = 2A₁ + 2A₂ + 2A₃

S.A. = (2)(6) + (2)(15) + (2)(10) = 12 + 30 + 20 = 62

8 0

3 years ago

What’s the answer ????

Citrus2011 [14]

Answer:

C. The graph would shift 5 units to the left

Step-by-step explanation:

If (x+5) was substituted in the place of x then it would shift 5 units to the left

Answer is C.

7 0

3 years ago

Read 2 more answers

Which of the following choices is closest to the distance (in miles) between points A and B? (5 points)

pshichka [43]

Answer:

i think it's B 3.46

Step-by-step explanation:

hope this helps

5 0

3 years ago