Suppose a simple random sample of size nequals=200 is obtained from a population whose size is Upper N equals 30 comma 000N=30,000 and whose population proportion with a specified characteristic is p equals 0.6 .p=0.6. Complete parts ​(a) through​ (c) below. ​(a) Describe the sampling distribution of ModifyingAbove p with caretp. Choose the phrase that best describes the shape of the sampling distribution below.     A. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.   B. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.   C. Approximately normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.   D. Approximately normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.   Determine the mean of the sampling distribution of ModifyingAbove p with caretp.   mu Subscript ModifyingAbove p with caret Baseline equalsμp=nothing ​(Round to one decimal place as​ needed.)

Suppose that 62% of the student population has a meal plan at a certain University. For samples of size n = 54, what would you expect the shape, center and spread of the sampling distribution of the proportion of students with a meal plan to be at this University?   a. It would be skewed with a mean of 0.62 and standard deviation of 0.066.   b. It would be skewed with a mean of 0.62 and standard deviation of 0.004.   c. It would be normal with a mean of 0.62 and standard deviation of 0.066.   d. It would be normal with a mean of 0.62 and standard deviation of 0.004.

Distribution of sample means e.

The distribution of the number of children in a household is strongly skewed right. Most households have 0, 1, or 2 children, although some have 3, 4, 5, or even more than 5 children. The mean number of children per household is μ = 2.75 children with standard deviation o = 1.22 children. Describe the shape of the sampling distribution of x for SRSS of size n = 50 from the population of households. Because n = 50 > 30, the sampling distribution of x will be approximately normal. Because n = 50 > 30, the sampling distribution of x will be skewed to the right, but not as strongly as the population. 50 > 30, the sampling distribution of x will be skewed to the right just as strongly as the population. Because n = Because n = 50 > 30, we do not have enough information to draw a conclusion about the shape of the sampling distribution of x. Because n = 50 > 30, the sampling distribution of x will be skewed to the right even more strongly than the population.

Suppose a simple random sample of size n= 50 is obtained from a population whose size is N= 10,000 and whose population proportion with a specified characteristic is p= 0.4. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. YA. Approximately normal because ns0.05N and np(1- p) 2 10. O B. Approximately normal because ns0.05N and np(1- p) < 10. O C. Not normal because ns 0.05N and np(1 - p) 2 10. O D. Not normal because ns0.05N and np(1- p) < 10. Determine the mean of the sampling distribution of p. HA = (Round to one decimal place as needed.)

4. For the following​ information, determine whether a normal sampling distribution can be​ used, where p is the population​ proportion, α is the level of​ significance, p is the sample​ proportion, and n is the sample size. If it can be​ used, test the claim. ​Claim: p>0.44​; α=0.08. Sample​ statistics: p=0.52​, n=350       Question content area bottom Part 1 Let q=1−p and let q=1−p. A normal sampling distribution ▼   can cannot be used​ here, since ▼   n ModifyingAbove p with caretnp npnp ▼   less than< greater than or equals≥ 5 and ▼   nqnq n ModifyingAbove q with caretnq ▼   less than< greater than or equals≥ 5.

The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects​ (at the same​ level) were obtained for University B. Assume that the distribution of differences is Normal enough to​ proceed, and assume that the sampling was random. 1. Find the test statistic for this test.  t = ___  (Round to two decimal places as​ needed.) 2. Find the​ p-value for this test. p-value = ____ (Round to three decimal places as​ needed.) 3. What is the conclusion for this​ test?

Suppose a simple random sample of size nequals=50 is obtained from a population whose size is Upper N=20,000 and whose population proportion with a specified characteristic is p=0.4.Complete parts ​(a) through​ (c) below. ​(a) Describe the sampling distribution of ModifyingAbove p with caretp. Choose the phrase that best describes the shape of the sampling distribution below.     A. Approximately normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis less than 10.np(1−p)<10.   B. Approximately normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10. Your answer is correct.   C. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.np(1−p)≥10.   D. Not normal because n less than or equals 0.05 Upper Nn≤0.05N and np left parenthesis 1…

A sampling distribution (dotplot) for the mean quiz score for a sample n = 30 of STAT101 students is shown below. It was constructed using random samples from population data.  What does one dot in this dotplot represent?