Question

In: Math

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 sample of 200 observations as X =175 and s=22.

Calculate the value of the test statistic of the test required to determine whether there is enough evidence to infer at the 5% significance level that the population mean is different from 180.

Expert Solution

milcah answered 1 year ago

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...

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...

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...

Question 3.3 (Total: 45 marks; part 1: 24 marks; part 2: 15 marks; part 3: 6...

Question 3.3 (Total: 45 marks; part 1: 24 marks; part 2: 15 marks; part 3: 6 marks) Star Finder Inc. has provided the following information for the year ended December 31, 2021: Sales revenue $1,300,000 Loss on inventory due to decline in net realizable value $80,000 Unrealized gain on FV-OCI equity investments 42,000 Loss on disposal of equipment 35,000 Interest income 7,000 Depreciation expense related to buildings omitted by mistake in 2020 55,000 Cost of goods sold 780,000 Retained earnings...

Question 6 Question 2 Part (i) 6 marks You are working on the audit of Chip...

Question 6 Question 2 Part (i) 6 marks You are working on the audit of Chip Ltd and have completed your review of controls over cash receipts. You have noted the following controls: Control 1: Handling of cash is entirely separate from the accounting department. Control 2: Before the accounting department posts sales invoices to the accounts receivable master file, cash receipts are matched to specific sales invoices. Control 3: The accounting department has a procedure whereby all recorded cash...

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.

QUESTION 1 The rejection region for an F test: is not affected by the number of...

QUESTION 1 The rejection region for an F test: is not affected by the number of samples. can be in an upper tail or a lower tail. is partially determined by the value of alpha. is established by an ANOVA table. 2 points QUESTION 2 Consider the partial ANOVA table shown below: Source of Variation DF SS MS F Between Treatments 64 8 Within Treatments (Error) 2 Total 100 The number of degrees of freedom corresponding to within treatments...

Question 3.3 (Total: 45 marks; part 1: 24 marks; part 2: 15 marks; part 3:...

Question 3.3 (Total: 45 marks; part 1: 24 marks; part 2: 15 marks; part 3: 6 marks) Star Finder Inc. has provided the following information for the year ended December 31, 2021: Sales revenue $1,300,000 Loss on inventory due to decline in net realizable value $80,000 Unrealized gain on FV-OCI equity investments 42,000 Loss on disposal of equipment 35,000 Interest income 7,000 Depreciation expense related to buildings omitted by mistake in 2020 55,000 Cost of goods sold 780,000 Retained...

Question 3 (20 Marks) Part A (6 marks) XYZ Windows Ltd is involved in a research...

Question 3 Part A XYZ Windows Ltd is involved in a research and development project to create a filtering window that removes the need for curtains. For the current year ended 30 June 2020 expenditure on the project is as follows: Research $235,000 Development $500,000 The window is expected to return profits of $70,000 per year for the 10 years commencing 1 July 2020. Assuming the company uses a straight-line method amortisation. This company uses a discount rate of 8...

Which statistic has the greatest value for the set of data 3, 6, 4, 8, 2,...

Which statistic has the greatest value for the set of data 3, 6, 4, 8, 2, 9, 1, 9, 3, 2, 6, 5, 3? mean median mode range interquartile range