We collect random samples of 25 students at a time and calculate the proportion of females in each sample. The standard deviation of p-hats is approximately 0.10. Which of the following is a plausible standard deviation for samples of 100?

What is the sampling distribution of the sample proportion (p-hat)? In other words, what can we say about the behavior of the different possible values of the sample proportion that we can get when we take such a sample? (Note: normal approximation is valid because .1(225) = 22.5 and .9(225) = 202.5 are both more than 10.)Reset this ActivitySince the sample proportion has a normal distribution, its values follow the Standard Deviation Rule. What interval is almost certain (probability .997) to contain the sample proportion of left-handed people?Reset this ActivityIn a sample of 225 people, would it be unusual to find that 40 people in the sample are left-handed?Reset this ActivityFind the approximate probability of at least 27 in 225 (proportion .12) being left-handed. In other words, what is P(p-hat ≥ 0.12)?Guidance: Note that 0.12 is exactly 1 standard deviation (0.02) above the mean (0.1). Now use the Standard Deviation Rule.

According to previous studies, 16% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 15%.The student is going to take a random sample of 2100 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample.Answer the following. (If necessary, consult a list of formulas.)(a)Find the mean of p.(b)Find the standard deviation of p.(c)Compute an approximation for P≥p0.15, which is the probability that there will be 15% or more left-handed people in the sample. Round your answer to four decimal places.

For a large, top-rated corporation, 94% of employees said the corporation is a great place to work. Suppose that we will take a random sample of 7 employees. Let p̂ represent the proportion of employees from the sample who said the corporation is a great place to work. Consider the sampling distribution of the sample proportion p̂. Find the standard deviation (σ) of the sampling distribution of the sample proportion p̂. Round your answer to two decimal places.

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution isQuestion 5Select one:a.16b.2c.4d.20

If the standard deviation of the population which is normally distributed is 50 and the sample size is 16 then the standard deviation of the sampling distribution is*11.512.514.513.5