a population with a known mean but an unknown variance.

Q: When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to…

A: Given information, n=41x¯=107s=9000=94.8683μ=120

Q: What is the variance? 3.7 4.1 3.2 4 3.8 3.6 3.7 3.4

A: Given:The data values are as follow:3.7, 4.1, 3.2, 4, 3.8, 3.6, 3.7, 3.4

Q: Suppose that we would like to test whether the variance of the length of a plaster panel is 20…

A: Given:  The sample number of examined panels are n=20. The sample variance is s2=18 millimeters. The…

Q: Given a binomial variable with a mean of 30 and a variance of 21, what is p?

A: X~Binomial(n , p) Mean=30, Variance=21

Q: The probability of a defective product produced in a production process is 0.26. What is the…

A: From the provided information, The probability of a defective product produced in a production…

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: Discuss merits and demerits of variance.

A:

Q: Explain what the purpose of an Analysis of Variance is.

A: A ANOVA is a statistical method for making simultaneous comparisons between two or more group means.…

Q: State the properties of Co- variance;

A:

Q: A z-score indicates how many variances a value is above or below the mean. True False

A: A z-score is known as the standard score that determines how much the data point deviates from the…

Q: Show that X is a sufficient estimator of the mean u of a normal population with the known variance…

A: X~N(μ,σ2)

Q: Explain the three major sources of error variance related to reliability. Provide an example of a…

A: Reliability refers to the consistency in test outcomes of a measure under similar conditions.

Q: A sample of n = 9 scores has SS = 200. What is the variance for this sample?

A:

Q: An alternative hypothesis must include the anticipated direction of variance. True  False

A: We have given statement  "An alternative hypothesis must include the anticipated direction of…

Q: A value of r2=.09 is considered what for the effect size test of the percentage of variance…

A: Given, r2=0.09

Q: When is the population standard greater than the population variance?

A: Variance: The variation between each observation from its mean is known as variance. The greater the…

Q: If a set of data is normally distributed with a mean of 20 and a variance of 16, a z-score of -3.8…

A: Let raw score is X.  Then Z Score is given by, Z= (X- mu)/sigma Where mu is mean  And sigma  is…

Q: Assume that you have a binomial experiment with p = 0.4 and a sample size of 120. What is the…

A: Given that, From binomial experiment, Probability, p = 0.4 Sample size, n = 120

Q: what test is used to determine whether two population means are different when the variance are…

A: The test that is used to determine if the two population means are different when the population…

Q: ? Estimates of variance can be used to test a hypothesis because?

A: These estimates are formulated to interpret the means and also to discuss whether the sample means,…

Q: The formula for total variance (SST) is

A: Solution:-

Q: What is formula for the variance of the population?

A:

Q: Suppose that 67% of college students in Australia use more than 1.65 gigabytes of data on their…

A:

Q: How to Reconstruct the Variance step by step?

A:

Q: what test is used to determine whether two population means are different when the variance are…

A: Solution :  when the variance are known and sample size is large then we use z test to determine…

Q: What does less replicates mean in the context of understanding variance of data?

A: When the distribution has less variability then the data is more consistent.

Q: An important problem in industry is shipment damage. A electronics distribution company ships its…

A: For the given data Find the 95% confidence interval for mean

Q: One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance…

A: Given information: The two sample statistics is given as, Sample 1 n1=7SS1 = 35 Sample 2 n2 = 17SS2…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.