# Answer in Statistics and Probability for tam #232077

(a) A machine is used to fill soft drink in bottles. 35 randomly selected bottles

are taken from the output of the machine. Those bottles have a mean

Don't use plagiarized sources. Get Your Custom Essay on
Answer in Statistics and Probability for tam #232077
Just from $13/Page volume of 330 ml with a standard deviation of 4.8 ml. Construct a 98% confidence interval to estimate the true mean volume of soft drink. (5 marks) (b) The marketing department of a smart phone store is interested in determining the proportion of new smart phone owners who would have spent more than or equal to RM 2000 to buy a new smart phone. Suppose that a survey of 45 new customers, 23 indicate that they would have purchased new smart phone which cost more than or equal to RM2000. Construct a 99% confidence interval for the true proportion of new smart phone owners who have spent more than or equal to RM2000 for a new smartphone. (5 marks) (a) The critical value for “\alpha = 0.02” and “df = n-1 = 34” degrees of freedom is “t_c = z_{1-\alpha/2; n-1} = 2.44115.” The corresponding confidence interval is computed as shown below: “CI=(\bar{X}-t_c\times\dfrac{s}{\sqrt{n}}, \bar{X}+t_c\times\dfrac{s}{\sqrt{n}})” “=(330-2.44115\times\dfrac{4.8}{\sqrt{35}},” “330+2.44115\times\dfrac{4.8}{\sqrt{35}})” Therefore, based on the data provided, the 98% confidence interval for the population mean is “328.0194<\mu<331.9806,” which indicates that we are 98% confident that the true population mean “\mu” is contained by the interval “(328.0194, 331.9806).” (b) The sample proportion is computed as follows, based on the sample size “N = 45” and the number of favorable cases “X=23:” “\hat{p}=X/N=23/45” The critical value for “\alpha = 0.01” is “z_c = z_{1-\alpha/2} =2.5758.” The corresponding confidence interval is computed as shown below: “CI(Proportion)=(\hat{p}-z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{N}},” “\hat{p}+z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{N}})” “=\bigg(\dfrac{23}{45}-2.5758\sqrt{\dfrac{\dfrac{23}{45}(1-\dfrac{23}{45})}{45}},” “\dfrac{23}{45}+2.5758\sqrt{\dfrac{\dfrac{23}{45}(1-\dfrac{23}{45})}{45}}\bigg)” “=(0.3192, 0.7031)” Therefore, based on the data provided, the 99% confidence interval for the population proportion is “0.3192 < p < 0.7031,” which indicates that we are 99% confident that the true population proportion “p” is contained by the interval “(0.3192, 0.7031).” # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

• Most Qualified Writer $10FREE • Plagiarism Scan Report$10FREE
• Unlimited Revisions $08FREE • Paper Formatting$05FREE
• Cover Page $05FREE • Referencing & Bibliography$10FREE
• Dedicated User Area $08FREE • 24/7 Order Tracking$05FREE

#### Our Services

• On-time Delivery

We create perfect papers according to the guidelines.

##### Professional Editing

We seamlessly edit out errors from your papers.

Work with ultimate peace of mind because we ensure that your academic work is our responsibility and your grades are a top concern for us!

# Check Out Our Sample Work

Dedication. Quality. Commitment. Punctuality

# It May Not Be Much, but It’s Honest Work!

Here is what we have achieved so far. These numbers are evidence that we go the extra mile to make your college journey successful.

# Process as Fine as Brewed Coffee

We have the most intuitive and minimalistic process so that you can easily place an order. Just follow a few steps to unlock success.

# See How We Helped 9000+ Students Achieve Success

#### We Analyze Your Problem and Offer Customized Writing

We understand your guidelines first before delivering any writing service. You can discuss your writing needs and we will have them evaluated by our dedicated team.

• Clear elicitation of your requirements.
• Customized writing as per your needs.

#### We Mirror Your Guidelines to Deliver Quality Services

We write your papers in a standardized way. We complete your work in such a way that it turns out to be a perfect description of your guidelines.

• Proactive analysis of your writing.
• Active communication to understand requirements.