---### Sampling Distributions of a Sample ProportionThere is a very popular lottery in which a ticket is called a scratcher. In this lottery, 43% of the scratchers are winning ones. Suppose that we will take a random sample of 10 scratchers. Let \( \hat{p} \) represent the proportion of winning scratchers from the sample. Consider the sampling distribution of the sample proportion \( \hat{p} \).Complete the following steps. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed.#### (a) Find \( \mu_{\hat{p}} \) (the mean of the sampling distribution of the sample proportion).\[ \mu_{\hat{p}} = \boxed{} \]#### (b) Find \( \sigma_{\hat{p}} \) (the standard deviation of the sampling distribution of the sample proportion).\[ \sigma_{\hat{p}} = \boxed{} \]- **Note:** Buttons provided for user input are "X" for incorrect answers, a refresh symbol for retrying, and a question mark for viewing hints or explanations.- **Explanation and Recheck:** Options for viewing detailed explanations or rechecking the answers.---This educational content is designed to help students understand and calculate the mean and standard deviation of the sampling distribution of sample proportions in the context of a lottery game.

It is given that n=10 and p value is 0.43.

There is u very popular lottery in which a ticket is called a scratcher. In this lottery, 43% of the scratchers are winning ones. Suppose that we will take a random sample of 10 scratchers. Let p represent the proportion of winning scratchers from the sample. Consider the sampling distribution of the sample proportion p. Complete the following. Carry your intermediate computations to four or more decimal places. Write pur answers with two decimal places, rounding if needed (a) Find LA (the mean of the sampling distribution of the sample proportion). HA =| (b) Find on (the standard deviation of the sampling distribution of the sample proportion).

There is u very popular lottery in which a ticket is called a scratcher. In this lottery, 43% of the scratchers are winning ones. Suppose that we will take a random sample of 10 scratchers. Let p represent the proportion of winning scratchers from the sample. Consider the sampling distribution of the sample proportion p. Complete the following. Carry your intermediate computations to four or more decimal places. Write pur answers with two decimal places, rounding if needed (a) Find LA (the mean of the sampling distribution of the sample proportion). HA =| (b) Find on (the standard deviation of the sampling distribution of the sample proportion).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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