Express 28/1000 in decimals

aleksley [76]

Order them from least to greatest

3 0

3 years ago

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

A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a

Andru [333]

Answer:

W= 5.744

Step-by-step explanation:

given that a grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a standard deviation of 1.4 ounces

Sample size n= 49

Margin of error = 0.10 (10% risk )

Let us assume X no of apples having mean weight of 6 oz is N(6,1.4)

Then sample mean will be normal with (6, 1.4/7) = (6,0.2)

(Because sample mean follows normal with std error as std dev /sqrt of sample size)

Now required probability <0.10

i.e. $P(\bar X$

Since x bar is normal we find z score for

$P(Z$

From std normal distribution table we find that z = 1.28

Corresponding X score =

$W= 6-0.2*1.28\\W= 6-0.256 = 5.744$

7 0

3 years ago

What is the product of 3a(8a-6a)

Leto [7]

Answer:

6a^2

Step-by-step explanation:

5 0

3 years ago

Factor the following polynomial. 6x 2 + 14x

Ostrovityanka [42]

Answer:

2x(3x+7)

Step-by-step explanation:

factor 2x out of 6x^2+14x

5 0

3 years ago