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S. At Food Lion, 28 of every 35 jars of peanut butter on the shelves are creamy peanut butter. What percent of the jars of peanu

Alborosie

Answer:

7/35 or 20% of the jars are not creamy

7 0

3 years ago

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Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net

Citrus2011 [14]

Answer: Her net income is less than $120.

Step-by-step explanation:

Based on the information given, the gross income for Amy will be:

= 15 × $8

= $120

Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120

6 0

3 years ago

ind the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions ea

algol13

Answer: a. 0.04

Step-by-step explanation:

Given : Number of multiple choice questions = 2

Choices given in each question = 5

Since only one choice is correct out of 5.

So, the probability of selecting the correct answer = $\dfrac{1}{5}$

Also, both questions are independent of each other.

It means , The probability of answering the two multiple choice questions correctly if random guesses are made

=( Probability of selecting the correct answer in question 1 ) x ( Probability of selecting the correct answer in question 2 )

= $\dfrac{1}{5}\times\dfrac{1}{5}= 0.04$

Hence, the required probability =0.04

8 0

3 years ago

A coin is tossed 71 times and 34 heads are observed. Is the coin fair? Use a 98% level confidence interval to base your inferenc

Fofino [41]

Answer:

a) $\hat p=\frac{34}{71}=0.48$ estimated proportion of heads observed.

b) $Se= \sqrt{\frac{0.479(1-0.479)}{71}}=0.0593$

c) $z_{\alpha/2}=2.33$

d) $0.479 - 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.341$

e) $0.479 + 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.617$

f) In order to be fair the coin needs to have included the 0.5 on the interval, and for this case it's included, so we can say that at 2% of significance we can say that the coin is fair.

Step-by-step explanation:

Notation and definitions

$X=34$ number of heads observed.

$n=71$ random sample taken

$\hat p=\frac{34}{71}=0.479$ estimated proportion of heads observed.

$p$ true population proportion of heads observed.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The point estimator for the population proportion of heads is: Answer with two decimal precision.

$\hat p=\frac{34}{71}=0.48$ estimated proportion of heads observed.

The standard error in this estimate is: Answer with four decimal precision.

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And the standard error is given by:

$Se= \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$Se= \sqrt{\frac{0.479(1-0.479)}{71}}=0.0593$

The correct table value for the 98% level confidence interval is: Answer with two decimal precision

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

The lower end point of the CI is: Answer with three decimal precision.

And replacing into the confidence interval formula we got:

$0.479 - 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.341$

The upper end point of the CI is: Answer with three decimal precision.

$0.479 + 2.33 \sqrt{\frac{0.479(1-0.479)}{71}}=0.617$

And the 90% confidence interval would be given (0.341;0.617).

Based on the confidence interval, it is plausible that the coin is fair.

In order to be fair the coin needs to have included the 0.5 on the interval, and for this case it's included, so we can say that at 2% of significance we can say that the coin is fair.

4 0

4 years ago

A garden needs 100 feet of fencing . The width needs to be 20 feet what is the length of the garden

enot [183]

Answer:

5

Step-by-step explanation:

100/20=5

6 0

4 years ago