Doctors are comparing the efficacy of two painkillers. They randomly assign one of the two painkillers...
Doctors are comparing the efficacy of two painkillers. They randomly assign one of the two painkillers to their patients, and measure time to relief for each individual. The group assigned painkiller 1 has 41 people in it. The group assigned painkiller 2 has 61 people in it. For group 1, the mean time to relief is 10 minutes, and the sample variance is 2 minutes. For group 2, the mean to time to relief is 9.5 minutes, and the sample variance is 3.5 minutes.
A) Construct a 95% confidence interval for the difference in average time to relief for the two painkillers.
B) Based on the confidence interval in part (a), the doctors conclude that the two painkillers are quite similar in their average time to relief. However, they noticed that painkiller 2 had a higher sample variance than painkiller 1. Perform a hypothesis test to determine if the variance for painkiller 2 is significantly higher than for painkiller 1. Test at the α = .05 level. (You may make any necessary assumptions to make the hypothesis test feasible.)
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Doctors are comparing the efficacy of two painkillers. They
randomly assign one of the two painkillers...
A standard painkiller used for patients after minor surgeries is known to bring relief in 3.5...
A standard painkiller used for patients after minor surgeries is
known to bring relief in 3.5 minutes on the average (μ). A
new painkiller is hypothesized to bring faster relief to patients.
To test this hypothesis, a sample of 19 patients with minor
surgeries are selected and given the new painkillers. This sample
yields a mean of 2.8 minutes and a standard deviation of 1.1
minutes. Do the data provide sufficient evidence to indicate that
the new painkiller indeed works...
Consider each of the scenarios below. For each statement, decide which statistical procedure is most appropriate....
Consider each of the scenarios below. For each statement, decide which statistical procedure is most appropriate. One-sample hypothesis test for a single proportionOne-sample confidence interval for a single proportionTwo-sample hypothesis test for the difference in proportionsTwo-sample confidence interval for the difference in proportions Chi-square test for multiple categories of a single variable Chi-square test of independence of 2 categorical variables One-sample hypothesis test for a single mean One-sample confidence interval for a single mean Two-sample hypothesis test for the difference...
1b) The test statistic is closest to: Group of answer choices: a) t = -0.64 b)...
1b)
The test statistic is closest to:
Group of answer choices:
a) t = -0.64
b) t = 0.64
c) t = 2.77
d) t = -2.77
e) t = 3.5
1c) The rejection region for the test is closest to:
Group of answer choices:
a) (-\infty ∞ , -1.729] \cup ∪ [1.729, \infty ∞ )
b) (-\infty ∞ , -1.645] \cup ∪ [1.645, \infty ∞ )
c) (-\infty ∞ , -1.645]
d) (-\infty ∞ , -1.734]
e) (-\infty ∞...
(5 points) Consider each of the scenarios below. For each statement, decide which statistical procedure is...
(5 points) Consider each of the scenarios below. For each
statement, decide which statistical procedure is most
appropriate.
1. Mr. Taylor's 4th grade class uses Skittles to learn about
probability. They open several randomly selected bags of Skittles
and sort and count the different colors and want to determine if
Skittles are evenly distributed by color.
2. An insurance company selected a random sample of 500 clients
under 18 years of age and found that 180 of them had had...
I need help on question 3! Problem 2: salaries of lawyers and doctors, mean edition An...
I need help on question 3!
Problem 2: salaries of lawyers and doctors, mean edition An experiment is conducted to determine whether the mean salary for doctors and lawyers is the same. 13 doctors are sampled IID and their salaries are assumed to come from a normal distribution. 11 lawyers are sampled IID and their salaries are assumed to also come from a normal distribution. For time being, assume the variances in salary are the same for the doctor and...
Parametric Hypothesis Testing Comparing Two or More Means 2 Interpreting output for a one-sample t test...
Parametric Hypothesis Testing Comparing Two or More Means 2 Interpreting output for a one-sample t test A Aa 3 You are a marketing expert for a company that is producing a new kind of energy bar. You want to provide evidence that consuming that particular bar 1 hour before engaging in strenuous exercise of a long duration such as running a marathon-will improve performance. You decide to conduct a test at a half-marathon race. You know that the participants' average...
(1 point) A medical researcher wants to investigate the amount of time it takes for patients'...
(1 point) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 2 minutes with 94% confidence? Sample Size =
A local pizza place claims that they average a delivery time of 10.14 minutes. To test...
A local pizza place claims that they average a delivery time of 10.14 minutes. To test this claim, you order 13 pizzas over the next month at random times on random days of the week. You calculate that the average delivery time is 8.59 minutes with a standard deviation of 1.721 minutes. You create a 99% confidence interval of (7.13, 10.05). Of those listed below, what is the best conclusion you can make? Question 7 options: 1) The percentage of...
To test the effectiveness of a new drug designed to relieve pain, 200 patients were randomly...
To test the effectiveness of a new drug designed to relieve pain, 200 patients were randomly selected and divided into two equal groups. One group of 100 patients was given a pill containing the drug, while the other group of 100 was given a placebo. What can we conclude about the effectiveness of the drug if 62 of those actually taking the drug felt a beneficial effect, while 41 of the patients taking the placebo felt a beneficial effect? A)...
2. [25 POINTS = 15+101 BONNIE (WHO WORKS AS INSURANCE ANALYST) COLLECTED DATA FOR TWO INDEPENDENT...
2. [25 POINTS = 15+101 BONNIE (WHO WORKS AS INSURANCE ANALYST) COLLECTED DATA FOR TWO INDEPENDENT GROUPS OF CAR POLICIES, EACH GROUPS INCLUDED n1 = n2 8 MONTHLY PREMIUM VALUES. BONNIE ASSUMED THAT THE POPULATION VARIANCES FOR TWO GROUPS ARE KNOWN AS (σ)-(o2)2 = 9 SAMPLE SUMMARIES WERE FOUND AS FOLLOWS (SAMPLE MEAN FOR GROUP I) = 33.40 AND (SAMPLE VARIANCE) = 7 (SAMPLE MEAN FOR GROUP II)-37.30 AND (SAMPLE VARIANCE)-11 AT THE 1% SIGNIFICANCE LEVEL, DOES BONNIE HAVE SUFFICIENT...
A standard painkiller used for patients after minor surgeries is
known to bring relief in 3.5 minutes on the average (μ). A
new painkiller is hypothesized to bring faster relief to patients.
To test this hypothesis, a sample of 19 patients with minor
surgeries are selected and given the new painkillers. This sample
yields a mean of 2.8 minutes and a standard deviation of 1.1
minutes. Do the data provide sufficient evidence to indicate that
the new painkiller indeed works...
1b)
The test statistic is closest to:
Group of answer choices:
a) t = -0.64
b) t = 0.64
c) t = 2.77
d) t = -2.77
e) t = 3.5
1c) The rejection region for the test is closest to:
Group of answer choices:
a) (-\infty ∞ , -1.729] \cup ∪ [1.729, \infty ∞ )
b) (-\infty ∞ , -1.645] \cup ∪ [1.645, \infty ∞ )
c) (-\infty ∞ , -1.645]
d) (-\infty ∞ , -1.734]
e) (-\infty ∞...
(5 points) Consider each of the scenarios below. For each
statement, decide which statistical procedure is most
appropriate.
1. Mr. Taylor's 4th grade class uses Skittles to learn about
probability. They open several randomly selected bags of Skittles
and sort and count the different colors and want to determine if
Skittles are evenly distributed by color.
2. An insurance company selected a random sample of 500 clients
under 18 years of age and found that 180 of them had had...
I need help on question 3!
Problem 2: salaries of lawyers and doctors, mean edition An experiment is conducted to determine whether the mean salary for doctors and lawyers is the same. 13 doctors are sampled IID and their salaries are assumed to come from a normal distribution. 11 lawyers are sampled IID and their salaries are assumed to also come from a normal distribution. For time being, assume the variances in salary are the same for the doctor and...
Parametric Hypothesis Testing Comparing Two or More Means 2 Interpreting output for a one-sample t test A Aa 3 You are a marketing expert for a company that is producing a new kind of energy bar. You want to provide evidence that consuming that particular bar 1 hour before engaging in strenuous exercise of a long duration such as running a marathon-will improve performance. You decide to conduct a test at a half-marathon race. You know that the participants' average...
(1 point) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 2 minutes with 94% confidence? Sample Size =
2. [25 POINTS = 15+101 BONNIE (WHO WORKS AS INSURANCE ANALYST) COLLECTED DATA FOR TWO INDEPENDENT GROUPS OF CAR POLICIES, EACH GROUPS INCLUDED n1 = n2 8 MONTHLY PREMIUM VALUES. BONNIE ASSUMED THAT THE POPULATION VARIANCES FOR TWO GROUPS ARE KNOWN AS (σ)-(o2)2 = 9 SAMPLE SUMMARIES WERE FOUND AS FOLLOWS (SAMPLE MEAN FOR GROUP I) = 33.40 AND (SAMPLE VARIANCE) = 7 (SAMPLE MEAN FOR GROUP II)-37.30 AND (SAMPLE VARIANCE)-11 AT THE 1% SIGNIFICANCE LEVEL, DOES BONNIE HAVE SUFFICIENT...
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