For a fixed sample size, what happens to the probability of a Type II error if the significance level is decreased from 0.05 to 0.01?

Q: a. What is the standard error of the mean in men? What is it in women? Assume that the sampling was…

A: n1 = 4620 n2 = 6228 x1 = 3.8 x2 = 2.4 s1 = 6.7 s2 = 4.6

Q: Illustrate the relationship between the sampling distribution of p and the normal distribution?

A: It is known that, the conservative law of thumb for the sampling distribution of sample proportion…

Q: What is the approximate sample size required to estimate the percentage of Americans who have earned…

A: When we don't have any prior information about the population proportion, we generally take it as…

Q: calculate the standard error of the sampling distribution of the sample statistic

A: Let S.E denote Standard Error. Let sample mean be the sample statistic.

Q: 3. For a given level of significance, if the sample size is increased, the power of the test will…

A: Here, when we take large sample size then z value will be increase. Then we will be reject the null…

Q: Illustrates the effect of  significance level on the power of a two-sample t test?

A: Power of a hypothesis test: The probability of not committing a Type II error is called the power of…

Q: Explain the Difference between the sample space and random variables?

A: Sample space: The sample space is the collection of all outcomes, if a random experiment is…

Q: What are other sampling distributions for mean?

A: Sampling distributions : The probability distribution of a given statistic based on a random sample.…

Q: The best way to determine if a statistical hypothesis is true is to examine a random sample from the…

A: Statistical hypothesis - Statement regarding nature of population * it stated in terms of population…

Q: How large must the sample size be in order to estimate a true proportion to within one precentsge…

A: Solution: From the given information, confidence level is 0.90 and E=0.01.

Q: What information do you need to decide on a sample size that will provide adequate statistical…

A: Adequate statistical power is the power of probability with the rejected null hypothesis. Generally,…

Q: What is the formula to be used to determine the total possible random samples?

A: Let the population size be N Sample size be n

Q: Suppose that you want to compare the means of several populations, using independent samples. If…

A:

Q: How do you prove that the normal sampling distribution assumption has been met for a One Proportion…

A: Assumptions: The assumption for using the normal sampling distribution to test a proportion p with…

Q: Find the margin of error E assuming that a simple random sample is used to estimate a population…

A: The margin of error is a statistic expressing the amount of random sampling error in the results of…

Q: How large must the sample size be in order to to estimate a true proportion to within one percentage…

A: Given that, Critical value: Using the z-table, the critical value at 90% confidence level…

Q: With a large sample size such as n = 100, we do not need to assume the distribution is normal in…

A:

Q: Which one has samples that are the smallest sample size?

A: Given, 3 sampling distributions in the question comes from samples with the same population mean and…

Q: In practice, how do depth-of-coverage frequency histograms differ from purely theoretical random…

A: Converge histogram is commonly used to imagine the range and  sequencing coverage for an whole data…

Q: Find the probability that mean of sample size 36 will be negative.

A:

Q: a. What is the standard deviation of sampling distribution of the sample mean for Machine 1? b. Find…

A: Given Data : a)  For Machine 1 : Count, N: 9 Sum, Σx : 144.1 Mean, x̄2 =Σx/N  16.0111…

Q: What sample size should be selected to estimate the proportion of out of state guests with a margin…

A: Margin of error, ME = 0.05 sample proportion, p̂ = 0.45 confidence level, c = 95 % = 0.95…

Q: What happens to the sample size when you don’t know a prior sample proportion?

A: To calculate the sample size when we do not know prior sample proportion.

Q: How do you compute for the variance and standard deviation of the sampling distribution of sample…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: What is the Sample Distribution of means and why is it called a "special Kind of Population"?

A: We have to know about sampling distribution of sample means.We need to understand it in brief.

Q: A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The…

A: State the hypotheses.

Q: What is the sampling distribution in estimating the variance of a population? What are the…

A: The estimation population variance of the sampling distribution, or

Q: What is a sampling distribution of means and what does the standard error of the mean (STEM)…

A: Given, sampling distribution of mean and standard error of the mean To define the sampling…

Q: e. Find the critical value for 99% confidence level based on your computed sample size.

A: Given: Sample size n=20 Confidence level 99%

Q: If we would like to decrease the margin of error without changing the sample size, what must happen?

A: We have to find what to do to decrease margin of error.

Q: What is the difference between a random sample and a simple random sample

A: The difference between a random sample and a simple random sample is,Random sample:Random sample is…

Q: If it is known that a town with population 30,000 had 3,170 people who drive a Prius hybrid vehicle.…

A: Solution: The proportion of population who drive a Prius hybrid vehicle is From the given…

Q: The sample suggests that the food is safe, but it actually is not safe. type I O type II O not an…

A: Type I error (α) is the probability of rejecting the null hypothesis when it is actually true. Type…

Q: Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.20 for…

A: Standard Deviation = σ = 1.89 Margin of Error = E = 1.2 Confidence Level = 95 Significance…

Q: What is the target sample size for a population of 3,500 people with a standard value of 1.65 and a…

A: Solution-; Given: N=3500, Standard value (V)=1.65,sampleing error (Se)=0.10 We find the target…

Q: What is the probability that a sample size 7 out of 15 identified people will have a mean of weight…

A:

Q: Based upon the output provided, what is sample size?

A: Given information : Correlation Matrix for the variables Travel and Satisfaction is given.

Q: Calculate the mean and standard deviation of the sampling distribution of p?

A:

Q: What is the best estimate for the standard error of the sampling

A: Given data,Tota no of students n=14795Who said yes for cyberbullied is x=2219Point estimate is…

Q: Why can we consider the sample mean in random samples of size n from a given population to be a…

A: We consider the sample mean in random samples of size n from a given population to be a random…

Q: Considering that the difference between the production time of the ampoule and the expiration date…

A:

Q: When calculating confidence intervals for differences between two population means, the sample size…

A: Determine whether the given statement is true or false

Q: The mean of a sampling distribution is smaller than the mean of the underlying population. True or…

A: We have to find that the given statement is true or false... The mean of a sampling distribution is…

Q: What will happen to the mean of the sampling distribution of the sample means if the sample size…

A: Definition of sampling distribution: If X have any distribution and  sample size is sufficiently…

Q: To be tested, why does a hypothesis must specify a single number about which the hypothesized…

A: There are two types of hypotheses: one is the null hypothesis and the other is the alternative…

Q: Explain the conditions to compute the standard deviation of the sampling distribution of the mean?

A: According to the Central Limit Theorem, for a population with finite mean and non-zero variance, the…

Q: What is Effect of Sample Size on standard error?

A: The standard error is also inversely proportional to the sample size; the larger the sample size,…

Q: If the null hypothesis is true, then what does the distribution of sample means?

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: Suppose the percentage of married couples who own a home is 33% for a given population. What is the…

A: From the provided information, The percentage of married couples who own a home is 33% (p) = 0.33…