Suppose that a random sample of 50 bottles of a particular brand of cough medicine is selected and the alcohol content of each bottle is determined.  Let  denote the average alcohol content for the population of all bottles of the brand under study.  Suppose that the sample of 50 results in a 95% confidence interval for  of (7.8, 9.4).  a) Would a 90% confidence interval have been narrower or wider than the given interval?   b) If the sample size was increased to 100, would the confidence interval be narrower or wider than the given interval?   c) Explain what we mean by the “We are 95% confident” part of the interpretation.

Q: In a certain region, many of the residents are employed by the oil industry. Economists in the…

A: The conditions that is required are Randomization condition: Data must be sampled randomly. 10%…

Q: Suppose that in a sample of 4876customers at a food store, 2654food shop more than once a week. Find…

A: Solution: Let X be the number of customers shop more than once a week and n be the sample number of…

Q: A newsgroup is interested in constructing a 95% confidence interval for the proportion of all…

A:

Q: poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor…

A: If the confidence interval includes zero then we can say that there is no difference between the two…

Q: In a certain region, many of the residents are employed by the oil industry. Economists in the…

A:

Q: A sample of 25 different payroll departments found that the employees worked an average of 310.3…

A:

Q: A sample of size 10 has a sample mean of 1000. Knowing that o?=100, then a 95% Confidence Interval…

A: We want to find confidence interval Here z will be used as population standard deviation is known

Q: Suppose that you take 500 simple random samples from a population and that, for each sample, you…

A:

Q: 3- Based on their blood samples, 900 COVID-19 seroprevalence Canadian were randomly selected and 360…

A: The random variable percentage of asymptomatic COVID-19 seroprevalence patients follows binomial…

Q: a 90% confidence interval for for the probability of success in a Bernoulli trial with n=48

A: Confidence interval: It is defined as the range that contains the value of the true population…

Q: In a survey of health workers, 25 percent stated that they expect to be promoted after 3 years of…

A: From the provided information, 25 percent stated that they expect to be promoted after 3 years of…

Q: A 95% confidence interval for the difference in the proportions of red candies for the plain and…

A: Given: Confidence level = 0.95 Confidence interval of difference in the proportions of red candies…

Q: To construct a confidence interval for the difference between two population means ₁-₂, use the…

A:

Q: Suppose that in a random sample of 500 employed Americans, there are 44 individuals who say that…

A: Solution: Let X be the number of individuals say that they would fire their boss if they could and n…

Q: Suppose a random sample of 32 canned products are inspected and an average of 7 of them are reported…

A:

Q: A sample of 200 customers showed that 175 of them made an online purchase last year. Construct the…

A:

Q: To construct a confidence interval for the difference between two population means μ₁-H₂, use the…

A:

Q: a)In a random sample of 31 professional actors, it was found that 24 were extroverts. Find a 98%…

A: a) Given data, n=31 x=24 sample proportion p=xn=2431=0.774   z-value at 98% confidence is Zc=2.326

Q: A country club wants to poll a random sample of its 320 members to estimate the proportion likely to…

A: Given data: Margin of error ( ME ) = 0.05 Random sample (N) = 320 Confidence level  = 99 % To find:…

Q: A random sample of 274 elephants who are in a preserve in Kenya were selected and 94 identified as…

A: The sample proportions are Critical values: By using the standard normal table of Z, the critical…

Q: Suppose a random sample of 459 married couples found that 307 had two or more personality…

A:

Q: In a certain region, many of the residents are employed by the oil industry. Economists in the…

A: The confidence interval gives a range of plausible values for an unknown parameter.

Q: A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans…

A: Given that p=90%=0.90 n=300 μ=np=300*0.90=270σ=np(1-p)=300*0.90*0.10=5.1962

Q: Find t* for a 80% confidence interval based on N = 45 randomly selected observation

A: Given, Sample size n = 45 80% confidence interval

Q: Why is it necessary to check that np 2 5 and nq 2 5? O A. It is necessary to check that np 2 5 and…

A: We know that It is necessary to check that np≥5 and nq≥5because, if either of the values are less…

Q: 1.A smart phone manufacturer is interested in constructing a 95% confidence interval for the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A clinic measured the systolic blood pressure for a random sample of 10 patients. The resulting 95%…

A: In a randomized sample group, a margin of error is a significant indication that assumes the…

Q: Suppose that 287 out of a random sample of 350 letters mailed in the United States were delivered…

A: Given:

Q: Let p, and p, be the respective proportions of women with nutritional anemia in each of two…

A:

Q: In a random sample of 400 Bentley graduates, 64% stated that they prefer root beer (over birch…

A:

Q: In a 2020 AAA Poll, 1,033 randomly selected American adults were asked whether they would prefer…

A:

Q: Let p, and p, be the respective proportions of women with nutritional anemia in each of two…

A: Find z-critical value:…

Q: In a random sample of 150 adults over the age of 45, 25 say they have plaved in a band at least one…

A: Hence, the required confidence interval for proportion is (0.088 , 0.245) .

Q: Assume that the following samples are independent. In a random sample of 400 women, 47% favored…

A: Obtain the 98% confidence interval for the difference between the population proportions.   The 98%…

Q: Suppose a random sample of 85 items has been taken from a population and 34 of the items contain the…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Sample size, n =…

Q: A smart phone manufacturer is interested in constructing a 90% confidence interval for the…

A: a) The sample size n= 1595.for The sample proportion is 90/1595=0.0564. The absolute value of Zα/2…

Q: 4. From an SRS of 600 U.S. adults, 116 live in a multigenerational household (multiple generation…

A: We have given that,  Favorable cases (X) = 116 and sample size (n)=600  Then,  We will find the 95…

Q: Suppose that a random sample of 11 adults has a mean score of 79 on a standardized personality…

A: Given data,n=11Mean x=79sd    s=7Construct a 90% CI?

Q: Suppose it was found that in a random sample of 200 individuals who were underweight (defined as…

A: Given that: The number of underweight individuals, n1= 200. The number of severely obese…

Q: A newsgroup is interested in constructing a 99% confidence interval for the proportion of all…

A:

Q: A simple random sample of size n is drawn from a population that is normally distributed. The…

A: A simple random sample of size n is drawn from a population that is normally distributed. Sample​…

Q: A sample of size 25 was taken from a very large population. Sample statistics, x¯ and s, were used…

A:

Q: Suppose that in a random sample of 600 employed Americans, there are 55 individuals who say that…

A:

Q: Based on data from a survey of 1,300 randomly selected Facebook users, a 95% confidence interval for…

A: Given Information:  Sample size (n) = 1300  Confidence interval = 95%

Q: Suppose it was found that in a random sample of 200 individuals who were underweight (defined as…

A:

Q: How large a sample is needed if we want to believe 98% that the proportion of the sample found lies…

A:

Q: suppose that you take 1000 simple random samples from a population and that, for each sample, you…

A:

Q: Suppose a researcher takes a random sample of 1,000 students from a university and creates a 95%…

A: Here AS per policy I should have to answer first main question even though I have calculated 2…

Q: Suppose that your​ 95% confidence interval for p is​ (0.68, 0.74). Based on the confidence interval…

A: Given that  95% confidence interval for p is (0.68, 0.74) Null and alternative hypothesis  H0: p=0.8…

Q: In a certain region, many of the residents are employed by the oil industry. Economists in the…

A: Yes, all conditions have been met. A

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.