A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain...

A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain the specified confidence interval. s = 4, n = 11 , 95% confidence interval a) 2.795 to 3.51 b) 0.618 to 3.896 c) 2.956 to 6.373 d) 2.795 to 7.02

Expert Solution

Solution :

Given that,

s = 4

s² = 16

²_L = ²_/2,df = 20.483

²_R = ²_{1 -} _/2,df = 3.247

The 95% confidence interval for is,

(n - 1)s² / ²_/2 < < (n - 1)s² / ²_{1 -} _/2

10 * 16 / 20.483 < < 10 * 16 / 3.247

2.795 < < 7.02

2.795 to 7.02

d)

orchestra answered 1 year ago

A sample mean, sample standard deviation, and sample size are given. Use the one mean t-test...

A sample mean, sample standard deviation, and sample size are given. Use the one mean t-test to perform the required hypothesis test about the mean M of the population from which the sample was drawn. Use the P- value approach. Also asses the strength of the evidence against the null hypothesis. Mean of the sample= 226,450 ; S= 11,500 ; n= 23 ; mean of the population = 220, 000 ; Ha : M>220,000 ; alpha = 0.01 . 2)....

A) Given that the sample size is 15 and the standard deviation is 2.3, the variance...

A) Given that the sample size is 15 and the standard deviation is 2.3, the variance is B) Given that the sample size is 25 and the variance for a data set is 2.8, what is the standard deviation? C) A recent survey of a new diet cola reported the following percentages of people who liked the taste. Find the weighted mean of the percentages. Area % Favored Number surveyed 1 50 1500 2 40 2500 3 25 500 D)...

A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test...

A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 1% significance level. x=29, s=6, n=15, H0: μ=27, Ha: μ≠27 The test statistic is t=_______ (Round to two decimal places as needed.) The P-value is ______ (Round to three decimal places as needed.) ▼ ______ the null hypothesis. The data _____ sufficient evidence to conclude that the mean is ______ ▼

Find the critical value Χ2/L corresponding to a sample size of 9 and a confidence interval...

Find the critical value Χ2/L corresponding to a sample size of 9 and a confidence interval of 99%. (Draw the graph) Please write neatly, and show work, no calculator.

Construct a 90% confidence interval for the population standard deviation if a sample size 20 has...

Construct a 90% confidence interval for the population standard deviation if a sample size 20 has standard deviation of 10. (a) Find the critical value(s). (Round to three decimal places) (b) Construct the confidence interval. (Round to three decimal places) (c) Conclusion.

Given a normal distribution of scores calculate 95% confidence interval for the standard deviation? Given: Sample...

Given a normal distribution of scores calculate 95% confidence interval for the standard deviation? Given: Sample mean = 87.1667. Sample size is 12. Sample variance = 60.88.

Is the standard deviation affected by a sample size increasing?

You are given the sample mean and the sample standard deviation. Use this information to construct...

You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals. A random sample of 4848 eight-ounce servings of different juice drinks has a mean of 88.688.6 calories and a standard deviation of 43.543.5 calories. The 90% confidence interval is left parenthesis nothing comma nothing right parenthesis .,. (Round to one decimal...

Use the two-proportions z-interval procedure to obtain the required confidence interval for the difference between two...

Use the two-proportions z-interval procedure to obtain the required confidence interval for the difference between two population proportions. Assume that independent simple random samples have been selected from the two populations. A survey of students at one college found that 57 of 96 randomly selected freshmen and 85 of 118 randomly selected sophomores lived off campus. Find a 98% confidence interval for the difference between the proportions of freshmen and sophomores at this college who live off campus. -0.278 to...

Provide an original example using the one-mean t-interval procedure (population standard deviation unknown). For this example,...

Provide an original example using the one-mean t-interval procedure (population standard deviation unknown). For this example, provide the following items: Describe the assumptions that must be met before using this procedure. Compute the confidence interval for a 95% confidence level. Show all work.

Question