Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution....

Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution.

i)
H0: µ=10 H1: µ≠10 Given that: σ=10, n=100, X =13, α=0.05.

H0: µ=50 H1: µ<50 Given that: σ=15, n=100, X =48, α=0.05.

ii)

Part b)
H0: µ=10 H1: µ≠10 Given that: σ=10, n=100, X =13, α=0.05.

H0: µ=50 H1: µ<50 Given that: σ=15, n=100, X =48, α=0.05.
A statistics practitioner is in the process of testing to determine whether is enough evidence to infer that the population mean is different from 180. She calculated the mean and standard deviation of a sample of 200 observations as X =175 and s=22.

please show all the necessary steps and no short cuts.

thank you

Solutions

Expert Solution

ii.

iii

I have given my best to solve your problem. Please like the answer if you are satisfied with it. ?

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Part a) Calculate the statistic, set up the rejection region, interpret the result, and draw the...

Part a) Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution. i) H0: µ=10 H1: µ≠10 Given that: σ=10, n=100, X =13, α=0.05. ii. .H0: µ=50 H1: µ<50 Given that: σ=15, n=100, X =48, α=0.05. Part b) A statistics practitioner is in the process of testing to determine whether is enough evidence to infer that the population mean is different from 180. She calculated the mean and standard deviation of a sample of...

Question 2 (6 marks) Part a) Calculate the statistic, set up the rejection region, interpret the...

Question 2 Part a) Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution. i) ii) Part b) H0: H1: Given that: σ=10, n=100, H0: H1: Given that: σ=15, n=100, μ=10 μ≠10 X =10, α=0.05. μ=50 μ<50 X =48, α=0.05. A statistics practitioner is in the process of testing to determine whether is enough evidence to infer that the population mean is different from 180. She calculated the mean and standard deviation of a...

What is the sampling distribution of a statistic

A) A test statistic value of 2.14 puts it in the rejection region. If the test...

A) A test statistic value of 2.14 puts it in the rejection region. If the test statistic is actually 2.19 then we know the p-value is less than the significance level for the test. True or false? Explain. B) The null hypotheses is false. The p-value is less than the significance level. Do we have a type 1 error, a Type 2 error, or a correct decision. Give an explanation. C) For a right tailed test a test statistic of...

3. Find the rejection region (for the standardized test statistic) for each hypothesis test. Identify the...

3. Find the rejection region (for the standardized test statistic) for each hypothesis test. Identify the test as left-tailed, right-tailed, or two-tailed. H0:μ=141H0:μ=141 vs. Ha:μ<141Ha:μ<141 @ α=0.20.α=0.20. H0:μ=−54H0:μ=−54 vs. Ha:μ<−54Ha:μ<−54 @ α=0.05.α=0.05. H0:μ=98.6H0:μ=98.6 vs. Ha:μ≠98.6Ha:μ≠98.6 @ α=0.05.α=0.05. H0:μ=3.8H0:μ=3.8 vs. Ha:μ>3.8Ha:μ>3.8 @ α=0.001.

1-6:True or False? 1) The sampling distribution of a statistic is the distribution that is formed...

1-6:True or False? 1) The sampling distribution of a statistic is the distribution that is formed using the computed statistic from a every possible sample, only of a given size, taken from the population. 2) The mean of the sampling distribution of a sample mean equals the population mean divided by the square root of the sample size. 3) The standard deviation of the sampling distribution of a sample mean equals the population standard deviation divided by the square root...

Explain in detail how a sampling distribution of means is used in constructing the rejection regions...

Explain in detail how a sampling distribution of means is used in constructing the rejection regions for one-tailed and two-tailed research hypotheses.

1.The critical region is the proportion of the sampling distribution that is: A.unlikely to occur if...

1.The critical region is the proportion of the sampling distribution that is: A.unlikely to occur if the alternative hypothesis is true B.likely to occur if the null hypothesis is true C.unlikely to occur if the null hypothesis is true D.unlikely to occur if either the null or alternative hypothesis is true 2.If you are provided the population standard deviation (sigma) and are testing the potential effect of a treatment on that population using sample data, then which of the following...

What is the H0 rejection region for Z (i.e. standard normal distribution) for a two-tailed test...

What is the H0 rejection region for Z (i.e. standard normal distribution) for a two-tailed test with α/2 = .025? Select one: a. Reject H0 if z < 1.96 or z > -1.96 b. Reject H0 if z > 1.96 or z < -1.96 c. Reject H0 if z < 2.58 or z > -2.58 d. Reject H0 if z > 2.58 or z < -2.58

1) state your hypotheses; 2) draw a graph showing the critical z-scores and the rejection region;...

1) state your hypotheses; 2) draw a graph showing the critical z-scores and the rejection region; 3) calculate z-obtained; 4) make a conclusion. Does regular exercise improve cognitive skills? A sample of 67 3rd grade students was randomly assigned into 2 groups. One group (N=32) participated in an afterschool fitness program 3 days a week. Another group (N = 35) attended a regular afterschool care program. After 3 months, the mean cognitive test score in the first group was 138...

Subjects