Question

A polling organization took a random sample of 2,500 single parents to determine how many single parents have two jobs. Suppose 38% of all single parents have two jobs. If the total population of single parents is 12 million, is the 10% condition met? Justify your answer.

Yes, 0.10(2,500) = 250, which is less than the total population. Yes, 10(2,500) = 25,000, which is less than the total population. No, 0.10(12,000,000) = 1,200,000, which is more than the sample. No, 10(12,000,000) = 120,000,000, which is more than the sample. There is not enough information to determine whether the 10% condition is met.

5. The Lakeland Post polled 1,231 adults in the city to determine whether they wash their hair before their body while in the shower. Of the respondents, 63% said they washed their hair first. Suppose 51% of all adults actually wash their hair first. What are the mean and standard deviation of the sampling distribution?

The mean is 0.51 and the standard deviation is 0.0142. The mean is 0.51 and the standard deviation is 0.0138. The mean is 0.63 and the standard deviation is 0.0226. The mean is 0.63 and the standard deviation is 0.0138. The mean is 0.63 and the standard deviation is 0.0142.

Answer #1

One of the condition is as

The population is at least 10 times as large as the sample.

here 10*n = 10* 2500 = 25000 < 12000000

So correct option is as **"Yes, 10(2,500) = 25,000, which
is less than the total population."**

5. The Lakeland Post polled 1,231 adults in the city to determine whether they wash their hair before their body while in the shower. Of the respondents, 63% said they washed their hair first. Suppose 51% of all adults actually wash their hair first. What are the mean and standard deviation of the sampling distribution?

Sampling distribution of sample proportion ( ) is approximately normal for large n with mean and standard deviations are as

mean = p = 0.51

for finding standard deviation we need to use p = 0.51

So correct choice is **"The mean is 0.51 and the standard
deviation is 0.0142****"**

Pre-Activity Question: A random sample of 84
eighth grade students' scores on a national mathematics assessment
test has a mean score of 294. This test result prompts a state
school administrator to declare that the mean score for the
state's eighth graders on this exam is more than 285. Assume that
the population standard deviation is 31. At α = 0.10, is there
enough evidence to support the administrator's claim?
Write out the hypotheses statements below and identify the
parameter...

Use the following information for the next 7 questions:
A simple random sample of 50 adults is obtained and each
person's red blood cell count (in cells per microfilter) is
obtained. The sample mean in 4.63. The population standard
deviation for all blood cell counts is assumed to be 0.54. Test at
the .05 level whether the population mean blood count is less than
5.
Question 8: The data summary here is n=50 and x=
4.63
A. s= 0.54
B....

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