Write a linear equation of the line that passes through (6, -1) and is parallel y

According to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store. Assume t

OverLord2011 [107]

Answer:

The probability that the sample proportion exceeds 0.16 is 0.2061.

Step-by-step explanation:

We are given that according to a 2009 Reader's Digest article, people throw away approximately 13% of what they buy at the grocery store.

You plan to randomly survey 101 grocery shoppers to investigate their behavior.

Let $\hat p$ = sample proportion

The z-score probability distribution for the sample proportion is given by;

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

where, $\hat p$ = sample population = 0.16

n = sample of grocery shoppers = 101

Now, the probability that the sample proportion exceeds 0.16 is given by = P( $\hat p$ > 0.16)

P( $\hat p$ > 0.16) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.16-0.13}{\sqrt{\frac{0.16(1-0.16)}{101} } }$ ) = P(Z > 0.82) = 1 - P(Z $\leq$ 0.82)

= 1 - 0.7939 = <u>0.2061</u>

The above probability is calculated by looking at the value of x = 0.82 in the z table which has an area of 0.7939.

4 0

3 years ago

"A movie data base claims that the average length of movies is 117 minutes. A researcher collected a random sample of 160 movies

Sergeu [11.5K]

Answer:

We need to conduct a hypothesis in order to check if the mean the actual mean length of movies released during 2010-2015 is more than the data base value (a;ternative hypothesis) ,so then the system of hypothesis would be:

Null hypothesis: $\mu \leq 117$

Alternative hypothesis: $\mu > 117$

Step-by-step explanation:

Data given and notation

$\bar X=118.44$ represent the sample mean

$s=8.82$ represent the sample standard deviation

$n=160$ sample size

$\mu_o =117$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean the actual mean length of movies released during 2010-2015 is more than the data base value (a;ternative hypothesis) ,so then the system of hypothesis would be:

Null hypothesis: $\mu \leq 117$

Alternative hypothesis: $\mu > 117$

3 0

3 years ago

What is a expanded form for 839,208

QveST [7]

Step-by-step explanation:

800,000 + 30,000 + 9,000 + 200 + 8

7 0

4 years ago

Plzz help!!!! if 200 meters to the next freeway exit how far away is the exit in yards?

kifflom [539]