We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.
The answer is the first answer choice.
This is because this inequality matches up with the graph.
Everything is shaded below, and y is less than, so it matches up.
3 is the y-intercept.
The slopes match up as well.
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What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.
The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.
A box contains 8 chocolate, 4 powdered sugar, 6 cinnamon, and 6 red velvet munchkins. If you grab a munchkin, eat it, and then grab another one, what is P(chocolate, and then red velvet)? Show your work.
ok so there is 24 munchkins in the box and the probability of picking a chocolates is 1/3 and the probability of picking a red velvet is 1/4 so the if we multiply these together the probability of picking a chocolates then a red velvet is 1/12 or 8.3 percent
Question 101 pts Suppose that you had consumer group wanted to test to see if weight of participants in a weight loss program changed (up or down). They computed a 95% confidence interval of the result (2.177, 4.977). What do we know about the p-value for the test? Group of answer choices It would be greater than 0.05. Can not be determined. It would be 0.05. It would be less than 0.05.
From the confidence interval given, we have that the correct option is:
It would be less than 0.05.
At the null hypothesis, we test that there are no changes, that is, the means are equal, so:
At the alternative hypothesis, we test if there was a change, that is, if the means are different, so:
The confidence interval for the difference of means is: (2.177, 4.977).
It does not contain 0, which means that they are different.
Statistically significant results, which indicate difference, have low p-values, that is, lower than 0.05, thus the p-value would be less than 0.05.
The hypothesis test was done to claim that the weight of participants has changed.
The null and alternative hypothesis could be written as:
being μ the population mean change in weight.
With that information, we can tell that is a two tailed test. Sample means that fall in any of the tails, with a z-statistic over 1.96 or under -1.96 (at a significance level of 0.05), will be evidence to reject the null hypothesis.
The information we have about the sample is the 95% confidence interval calculated from the sample information.
This confidence interval does not include the value μ=0.
Then, there is 2.5% of probabiltity that the population mean is under 2.177, the lower bound of the interval, which includes the value μ=0.
With this information, we can conclude that the P-value have to be under 0.05.
Suppose that, from measurements in a microscope, you determine that a certain layer of graphene covers an area of 1.60μm2. Convert this to square meters.
The prefix μ stands for "micro-", which means 10^-6. So, 1 micro-meter is ...