/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.104 In six packages of 鈥淭he Flints... [FREE SOLUTION] | 91影视

91影视

In six packages of 鈥淭he Flintstones庐 Real Fruit Snacks鈥 there were five Bam-Bam snack pieces. The total number of snack pieces in the six bags was 68.We wish to calculate a 96%confidence interval for the population proportion of Bam-Bam snack pieces.

a. Define the random variables XandPin words.

b. Which distribution should you use for this problem? Explain your choice

c. Calculatep.

d. Construct a 96%confidence interval for the population proportion of Bam-Bam snack pieces per bag.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

e. Do you think that six packages of fruit snacks yield enough data to give accurate results? Why or why not?

Short Answer

Expert verified

(a) The sample of 68snack pieces for the proportion of Bam-Bam pieces is P',and the bag of snacks for the proportion of Bam-Bam snacks is X.

(b) From this we use normal distribution NPpqn.

(c) After calculate we get, p'=0.0735.

(d) The final result

1. we getCI=(0.00853,0.13853)

2.

3. Error bond mean EBM=0.0554.

(e) Almost certainly not.

Step by step solution

01

Explanation (a)

The sample of 68snack pieces for the proportion of Bam-Bam pieces is P', and the bag of snacks for the proportion of Bam-Bam snacks isX.

02

Explanation (b)

The problem is solved using the normal distribution. As we all know, the sample size for the population's standard deviation is greater than 30, and the distribution isNP,pqn.

03

Explanation (c)

In this we calculate p

By using formula

p'=5total number of smack pieces

by Computing,

p'=568

p'=0.0735.

04

Explanation (d)

i. The confidence interval should be stated.

The confidence interval's output,

n=58

CI=(0.00853,0.13853)

ii. The graph is as follows:

iii. The formula is used to compute the error bound.

EBM=z2p'q'n

EBM=20.0420.07350.926568

localid="1651847585804" EBM=0.0554

05

Explanation (e)

Do you believe that six packages of fruit snacks will provide enough data to provide accurate results, It's unlikely, because the samples were obtained using a basic random sample.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?

The data in the Table are the result of a random survey of 39national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X=the number of colors on a national flag.

XFreq.11273184756

Construct a 95%confidence interval for the true mean number of colors on national flags.

The 95%confidence interval is_____.

The population standard deviation for the height of high school basketball players is three inches. If we want to be 95% confident that the sample mean height is within one inch of the true population mean height, how many randomly selected students must be surveyed?

In words, define the random variables X andX.

Define the random variable X{"x":[[4,22,36],[6,35],[5.647456684472792,6.517307794504744,6.517307794504744,8.257010014568648,9.1268611246006,9.996712234632552,12.606265564728409,13.476116674760362,14.345967784792315,16.08567000485622,16.95552111488817,17.825372224920123,18.695223334952075,20.43492555501598,21.30477666504793,22.174627775079884,23.044478885111836,23.914329995143788,24.78418110517574,25.654032215207693,26.523883325239645,27.393734435271597,27.393734435271597,28.26358554530355,29.1334366553355,29.1334366553355,30.003287765367453,30.873138875399405,31.742989985431358,32.61284109546331]],"y":[[9,59,116],[115,9],[-7.088088802556169,-7.088088802556169,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-7.957939912588121,-8.827791022620074,-8.827791022620074,-8.827791022620074,-9.697642132652026,-9.697642132652026,-9.697642132652026,-9.697642132652026,-9.697642132652026]],"t":[[0,0,0],[0,0],[1648475418436,1648475418678,1648475418692,1648475418709,1648475418727,1648475418743,1648475418760,1648475418776,1648475418791,1648475418810,1648475418826,1648475418842,1648475418859,1648475418875,1648475418892,1648475418910,1648475418925,1648475418942,1648475418965,1648475419009,1648475419026,1648475419076,1648475419105,1648475419118,1648475419134,1648475419146,1648475419161,1648475419180,1648475419242,1648475419292]],"version":"2.0.0"}in words.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.