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Rounding Instructions: Round to 2 decimal places unless otherwise stated. Question 1 Suppose a random sample...
2. Critical Values from the t-table (Table D) (a) Accurate to the nearest 3 decimal places,...
2. Critical Values from the t-table (Table D) (a) Accurate to the nearest 3 decimal places, what is the critical value (t or z*) that corresponds to the given confidence levels and degrees of freedom? Fill in the following table with the appropriate critical values from the t-table (table D). Remember to truncate down the df when the exact value is not listed in the table. a unknown (t) df- 12 df- 29 df 71 Confidence level σ known (r)...
2. Suppose that a random sample of 41 state college students is asked to measure the...
2. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 90% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). If we now calculated a 95% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original? b. Suppose two researchers want to estimate the proportion of American college...
A random sample of 88 women showed that the mean number of children reported was 1.58...
A random sample of 88 women showed that the mean number of children reported was 1.58 with a standard deviation of 1.8. (interestingly, a sample of 88 men showed a mean of 1.3 children.) Complete parts (a) through (c) below EEB Click the lcon to view the ttable. Find a 95% confidence interval for the population mean number of children for women. Because the sample size is so large, you can use 1.96 for the critical value of t (which...
(05.01 LC) A polling company has decided to increase the size of its random sample of...
(05.01 LC) A polling company has decided to increase the size of its random sample of voters from about 2,000 people to about 4,500 people right before an election. A poll was designed to estimate the proportion of voters who favor a new law to set an 11 p.m. curfew for teenagers. What is the effect of this increase? (4 points) a To reduce the bias of the estimate b To increase the bias of the estimate c To reduce...
PART 2: Which test-statistic, z, t, or neither? A candy factory that produces chocolate bars claims...
PART 2: Which test-statistic, z, t, or neither? A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 9 bars from one day's output of 4000 bars. The average weight of the 9 bars is only 47 grams with an SD of 3 grams. The inspector wishes to test the null hypothesis that...
Do not use MS Excel or statistics software unless stated otherwise (1 -2) (Confidence Interval) T...
Do not use MS Excel or statistics software unless stated otherwise (1 -2) (Confidence Interval) The following sample data are measurements of weight of middle school students. 153,148, 151, 163, 114,164, 135, 131,176 (25%) Assume that we do not know the true standard deviation of middle school students Calculate the two-sided 95% confidence intervals on the mean (find both upper and lower limits). I. 2. (25%) Assume now that we know the standard deviation of all middle school students is...
The One Sample 2 Test ESP A husband and wife claim that they have a special...
The One Sample 2 Test ESP A husband and wife claim that they have a special bond that allows them to communicate by ESP. To test this claim, an researcher puts the husband and wife in separate rooms. The husband is randomly shown one of colors: either blue, red, green, yellow or orange. He then is given 5 seconds to use his ESP to communicate the color to his wife. The wife then has to decide which of the 5...
just explain in words 1. Suppose you are drawing a random sample of size n >...
just explain in words
1. Suppose you are drawing a random sample of size n > 0 from n(μ, σ2) where σ 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is X - 1.96, X +1.96 小2 Vn a. If (3.2.5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (32.5.1) is a...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2)...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with...
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...
2. Critical Values from the t-table (Table D) (a) Accurate to the nearest 3 decimal places, what is the critical value (t or z*) that corresponds to the given confidence levels and degrees of freedom? Fill in the following table with the appropriate critical values from the t-table (table D). Remember to truncate down the df when the exact value is not listed in the table. a unknown (t) df- 12 df- 29 df 71 Confidence level σ known (r)...
2. Suppose that a random sample of 41 state college students is asked to measure the length of their right foot in centimeters. A 90% confidence interval for the mean foot length for students at this university turns out to be (21.709, 25.091). If we now calculated a 95% confidence interval, would the new confidence interval be wider than or narrower than or the same as the original? b. Suppose two researchers want to estimate the proportion of American college...
A random sample of 88 women showed that the mean number of children reported was 1.58 with a standard deviation of 1.8. (interestingly, a sample of 88 men showed a mean of 1.3 children.) Complete parts (a) through (c) below EEB Click the lcon to view the ttable. Find a 95% confidence interval for the population mean number of children for women. Because the sample size is so large, you can use 1.96 for the critical value of t (which...
PART 2: Which test-statistic, z, t, or neither? A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 9 bars from one day's output of 4000 bars. The average weight of the 9 bars is only 47 grams with an SD of 3 grams. The inspector wishes to test the null hypothesis that...
Do not use MS Excel or statistics software unless stated otherwise (1 -2) (Confidence Interval) The following sample data are measurements of weight of middle school students. 153,148, 151, 163, 114,164, 135, 131,176 (25%) Assume that we do not know the true standard deviation of middle school students Calculate the two-sided 95% confidence intervals on the mean (find both upper and lower limits). I. 2. (25%) Assume now that we know the standard deviation of all middle school students is...
The One Sample 2 Test ESP A husband and wife claim that they have a special bond that allows them to communicate by ESP. To test this claim, an researcher puts the husband and wife in separate rooms. The husband is randomly shown one of colors: either blue, red, green, yellow or orange. He then is given 5 seconds to use his ESP to communicate the color to his wife. The wife then has to decide which of the 5...
just explain in words
1. Suppose you are drawing a random sample of size n > 0 from n(μ, σ2) where σ 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is X - 1.96, X +1.96 小2 Vn a. If (3.2.5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (32.5.1) is a...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...
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