Assume that the population has a normal distribution. Thirty randomly selected students took the statistics final. If the sample mean was 93 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students. Interpret the results.

Q: The average salary of 64 employee was 5400 and the sample standard deviation was 280. Find the 90%…

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Q: Use the given confidence interval to find the population proportion margin of error. 0.54 < p < 0.68

A: Confidence interval is given by 0.54 &lt; p &lt; 0.68 Now, the margin of error is given by,  MOE =…

Q: Find the sample size need to find the Population Mean if the margin of error is $105, the confidence…

A: Solution: From the given information, confidence level is 0.95, σ=315 and E=105.

Q: If the sample size is 36 and the population standard deviation is 24, then the standard deviation of…

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Q: With the aid of a table, find the sample Standard Deviation of the following dataset: X = {2.2, 4.7,…

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Q: Determine the margin of error for the confidence interval for the proportion: 0.509<p<0.845 The…

A: The given confidence interval is about population mean. We have to find the margin of error. Margin…

Q: Among various ethnic groups, the standard deviation of heights is known to be approximately three…

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Q: Calculate the sample mean and the sample standard deviation to the nearest hundreths.

A: Given: X 0.5 1.75 2 2.25 2.25 2.5 2.75 3.25 3.75 3.75 4.25 4.25 4.25…

Q: When calculating the confidence interval for a population mean, which distribution is used?

A: Confidence interval for mean: When the sample size is large (n&gt;30) and population variance (or…

Q: If you wanted your study to have a smaller standard error, which of these would be a good idea?…

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Q: Find the mean, mode and standard deviation of the distribution.

A: Given: f(x)=1x2πe-12logx2      for x&gt;0       =0  for  x&lt;0

Q: For a confidence level of 80% with a sample size of 24, find the t-score.

A: From the provided information, Confidence level = 80% Level of significance (α) = 1 – 0.80 = 0.20…

Q: Find the variance and standard deviation of the data

A: Given data, x=5,6,8,9,10,11,14   The sample mean is

Q: Among various ethnic groups, the standard deviation of heights is known to be approximately three…

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Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

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

Q: A statistics practitioner took a random sample of 50 observations from a population whose standard…

A: It is given that sample mean is 100 and the standard deviation is 25.

Q: Use the given confidence interval to find the margin of error and the sample mean. (15.3,22.3)

A: We have to find sample mean and margin of error..

Q: In an English test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally…

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Q: A bank wishes to estimate the mean credit card balance owed by its customers. The population…

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Q: A population mean is 13. The sample mean is 12.8, and the sample standard deviation is two. The…

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Q: The mean number of travel days per year for salespeople employed by three hardware distributors…

A: Sample size: Sample is the part of the population that will help us to draw the inference about the…

Q: The average salary of 64 employee was 5400 and the sample standard deviation was 270. Find the 90%…

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Q: Construct the confidence interval for the population mean  c=0.95, x=8.7 standard deviation=0.8 and…

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Q: Use the sample information X = 36, o= 7, n= 16 to calculate the following confidence intervals for µ…

A: (a). Find the 90% confidence interval for the population mean µ: Denote the population mean as µ.…

Q: for a sample of 150 that has a mean of 6540 and a standard deviation of .89, calculate the 95%…

A: It is given that mean and standard deviation are 6,540 and 0.89, respectively.

Q: A sample of 150 brand A light bulbs showed a mean lifetime of 1392 hours and a standard deviation of…

A: Option C is correct

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: From the given information, x¯=9.6σ=1.8n=36

Q: Use the sample information x⎯⎯x¯ = 35, σ = 7, n = 16 to calculate the following confidence intervals…

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Q: for a sample of 57 that has a mean of 6200 and a standard deviation of 254, calculate the 95%…

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Q: Use the given degree of confidence and sample data to construct a confidence interval for the…

A: We have to find confidence interval of given data..

Q: Let's assume that your sample mean and sample standard deviation are the true population mean and…

A: Let μ be the population mean and σ be the standard deviation. Let X be a random variable. Then,…

Q: Find the sample standard deviation of these values. Round to the

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Q: With the extra data value,  the range, standard deviation, and variance is?

A: Given data: 3.31 2.79 2.83 1.97 1.69 2.54 2.46 3.44 3.93 1.59 2.86 1.61 2.57 4.02 2.49 2.42…

Q: Find the length of a 99% confidence interval for the mean of the sample with a standard deviation of…

A: We have given that the confidence interval 99% for the mean of the sample with a standard deviation…

Q: The average salary of 64 employee was 5400 and the sample standard deviation was 260. Find the 90 %…

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Q: Use the sample information x⎯⎯x¯ = 37, σ = 6, n = 15 to calculate the following confidence intervals…

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Q: If the sample mean is 70 and the standard error of the sample mean is 8, what will be the 90%…

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Q: 300 high school students were asked how many hours.of TV they watch per day. The mean was 2 hours,…

A: Given that: Mean=2 Standard deviation=SD=σ= 0.5 Confidence level= 90% n=sample size=n=300   So…

Q: If a class took an exam and scored a mean of 82 with a standard deviation of 12, what would be the…

A: Given, Mean(x)=82Standard Deviation(s)=12

Q: Allan, a Grade 12 senior high school student, wants to estimate the average number of students who…

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Q: The standard deviation of the sample-mean's estimate of a population mean.

A: Let, X1,X2,....,Xn be the samples from a population with mean µ and standard deviation σ  So, the…

Q: If n=25 and the sample standard deviation is 15, construct a 95% confidence interval for the true…

A: The confidence interval is used to estimate the population parameter with the help of a sample…

Q: If you have a sample of n=25, what is the standard error if the population standard deviation is σ =…

A: The standard error of the sampling distribution of the sample mean.

Q: Determine the point estimate, p and the sample standard deviation, S5.

A: here n = 439 x= 162 here x= no of students working full time while going to school

Q: Find the sample standard deviation for the following scores: x = 2,45,2,6,3,2,9,10,11,34,64

A: The random variable is x. The sample size is 11. It is given that, the sample size of 11…

Q: If you draw a sample of 200 from a normal distribution and using the empirical rule; how many data…

A: Empirical rule: On a normal distribution about 68% of data will be within one standard deviation of…

Q: The average speed of 64 random cars traveling on a certain highway was 80 km/h and the sample…

A: We have given that,  Average speed (x̄) = 80 , standard deviation    (s) = 20, Confidence level(C.I)…

Q: form a confidence interval for mean, proportion, and standard deviation.

A: Confidence interval for mean When sample size &gt; 30 and population standard deviation is…

Q: The SAT scores of 12 randomly selected high school seniors are given as: 1700 1940 1510 2000…

A: If the SAT scores of n=12 students are x1,x2,...,x12, then a.) The sample mean…

Q: Among various ethnic groups, the standard deviation of heights is known to be approximately three…

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