1:what is the range of data?

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

4) -4+5n=18+3n plz help

GuDViN [60]

-4+5n=18+3n=? so n=18+3n group like terms which would be

18+4n my beautiful queen

hope this helps

4 0

3 years ago

|×|=× is the absolute value of x always, sometimes, or never x

il63 [147K]

Answer:

Sometimes

Step-by-step explanation:

I’ll give you an example so you can understand:

Let’s say x is 4. So plug 4 into the problem:

|4|=4 → This is a very true statement, where the absolute value of 4 is equal to 4.

Now, let’s say x is -7. So plug -7 into the problem:

|-7|=-7 → This is a false statement because it’s saying that the absolute value of -7 is -7 which is very untrue.

So |x|=x only works for positive numbers, but not negative numbers. Therefore, |x|=x is the absolute value of x sometimes.

Hope this helps and answers your question! :)

6 0

3 years ago

A newborn weighs 8 pounds, 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?

Nadya [2.5K]

Convert from Oz and Lbs.

1 Pound = 453.59237 Grams

1 Ounce = 28.3495231 Grams

3628.73896 for Lbs

141.7476155 for Oz

Add them, and you get:

3770.4865755

I didn't know if you needed rounding - it was classified as college.

Hope this helped, and have a good day!

5 0

3 years ago

Mr West has a picture that is 4 inches wide and 7

Pepsi [2]

Answer:

Step-by-step explanation:

The ratio of new length 7 to the initial length 19 is 2.7

Therefore new width will be 2.7×4 which will be 10.9 or about 11 inches

6 0

3 years ago

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