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Question 8. More Simple Hypothesis Let X be exponentially distributed with parameter ?. Assume you are...
Say you think that an output will be normally distributed with mean 1 and variance 1 You use the test statistic r- 1 a) At what values of x would you reject the null if your a value is set to 0.05. H...
Say you think that an output will be normally distributed with mean 1 and variance 1 You use the test statistic r- 1 a) At what values of x would you reject the null if your a value is set to 0.05. Hint: there are two values xŻ and xk such that if x x; or if x x, we would reject. b) Say that in actuality, z is drawn from an exponential distribution with mean 1. Thus the null...
Do you prefer paintings in which the people are fully clothed? This question was asked by...
Do you prefer paintings in which the people are fully clothed? This question was asked by a professional survey group on behalf of a national arts organization. A random sample of n1 = 56 people who are conservative voters showed that r1 = 43 said yes. Another random sample of n2 = 65 people who are liberal voters showed that r2 = 37 said yes. Does this indicate that the population proportion of conservative voters who prefer art with fully...
1. Assume that the daily profits X of a certain company has a normal distribution with unknown me...
Advanced Statistics.
1. Assume that the daily profits X of a certain company has a normal distribution with unknown mean μ and standard deviation σ 8 and that we wish to test the Ho 10 against Hi:H< 10 (a) Suppose the the profits over a random sample of n 64 days will be observed Analyst A will reject Ho if the mean daily profits satisfies T <9; hypotheses by two analysts Analyst B will reject Ho if the mean daily...
I would like the whole Question done on r studio with the R Code. 1. In...
I would like the whole Question done on r studio with
the R Code.
1. In this question we will evaluate type I and type II error probabilities for one-sided tests. We will consider normally distributed data, with unit variance and independent obervations. We will use Ho : μ-0 for the null and H1 : μ-1 for the alternative, unless otherwise stated. (a) Suppose we have n-6 observationsx. What is the sampling distribution of the (10 marks) sample mean (that...
Would you favor spending more federal tax money on the arts? Of a random sample of...
Would you favor spending more federal tax money on the arts? Of a random sample of n = 93 politically conservative voters, 1 = 17 responded yes. Another random sample of n2 = 78 politically moderate voters showed that r2 - 22 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use a = 0.05....
1. In a simple random sample of n = 840 voters, X = 609 indicate that...
1. In a simple random sample of n = 840 voters, X = 609 indicate that they will start holiday shopping this weekend. (a) Find the 95% confidence interval for p and the margin of error. (b) Use the six-step method of hypothesis testing to determine if the proportion is significantly different from 0.75. Use α = 0.05. (c) Is your conclusion the same with the test and the confidence interval? (d) How would the p-value change if you used...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: M-42 - 0 H: 11-20 The following results are from independent samples taken from two populations. Sample 1 Sample 2 - 35 n2 = 40 72 - 10.1 x2 = 13.6 $1 = 5.1 52 = 8.5 (a) What is the value of the test statistic? (Use x - xz Round your answer to three decimal places.) 2.192 (b) What is the...
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks,...
Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 91 89 82 103 101 109 82 90 The sample mean is x ≈ 93.4. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. The following results are from independent samples taken from two populations assuming the variances are unequal Sample 1 Sample 2 n1-352 x1-13.6x2-10.1 s, 5.5 s = 8.1 n2-40 (a) What is the value of the test statistic? (Use X1-x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Holly - 12 = 0 Ha: My - 4270 The following results are from independent samples taken from two populations. Sample 1 Sample 2 ni = 35 n2 = 40 * = 13.6 X2 = 10.1 $i = 5.4 $2 = 8.8 (a) What is the value of the test statistic? (Use xa - 2. Round your answer to three decimal places.) (b)...
Say you think that an output will be normally distributed with mean 1 and variance 1 You use the test statistic r- 1 a) At what values of x would you reject the null if your a value is set to 0.05. Hint: there are two values xŻ and xk such that if x x; or if x x, we would reject. b) Say that in actuality, z is drawn from an exponential distribution with mean 1. Thus the null...
Advanced Statistics.
1. Assume that the daily profits X of a certain company has a normal distribution with unknown mean μ and standard deviation σ 8 and that we wish to test the Ho 10 against Hi:H< 10 (a) Suppose the the profits over a random sample of n 64 days will be observed Analyst A will reject Ho if the mean daily profits satisfies T <9; hypotheses by two analysts Analyst B will reject Ho if the mean daily...
I would like the whole Question done on r studio with
the R Code.
1. In this question we will evaluate type I and type II error probabilities for one-sided tests. We will consider normally distributed data, with unit variance and independent obervations. We will use Ho : μ-0 for the null and H1 : μ-1 for the alternative, unless otherwise stated. (a) Suppose we have n-6 observationsx. What is the sampling distribution of the (10 marks) sample mean (that...
Would you favor spending more federal tax money on the arts? Of a random sample of n = 93 politically conservative voters, 1 = 17 responded yes. Another random sample of n2 = 78 politically moderate voters showed that r2 - 22 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use a = 0.05....
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: M-42 - 0 H: 11-20 The following results are from independent samples taken from two populations. Sample 1 Sample 2 - 35 n2 = 40 72 - 10.1 x2 = 13.6 $1 = 5.1 52 = 8.5 (a) What is the value of the test statistic? (Use x - xz Round your answer to three decimal places.) 2.192 (b) What is the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. The following results are from independent samples taken from two populations assuming the variances are unequal Sample 1 Sample 2 n1-352 x1-13.6x2-10.1 s, 5.5 s = 8.1 n2-40 (a) What is the value of the test statistic? (Use X1-x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Holly - 12 = 0 Ha: My - 4270 The following results are from independent samples taken from two populations. Sample 1 Sample 2 ni = 35 n2 = 40 * = 13.6 X2 = 10.1 $i = 5.4 $2 = 8.8 (a) What is the value of the test statistic? (Use xa - 2. Round your answer to three decimal places.) (b)...
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