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Math Homework Help
Statistic Quiz
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Find the critical value z_{a}_{/2} that corresponds to a degree of confidence of 98%.
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Find the margin of error for the 95% confidence interval used to estimate the population proportion.
n = 163, x = 96
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Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
n = 165, x = 138; 95 percent
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Find the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p.
Margin of error: 0.04; confidence level: 99%; from a prior study, estimated by 0.13
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459 randomly selected light bulbs were tested in a laboratory, 291 lasted more than 500 hours.
Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.
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A researcher is interested in estimating the proportion of voters who favor a tax on ecommerce.
Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion p:
0.113 < p < 0.171
Which of the statements below is a valid interpretation of this confidence interval?
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Use the confidence level and sample data to find the margin of error E. College students' annual earnings: 99% confidence; n = 74, = $3967, s = $874
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Use the confidence level and sample data to find a confidence interval for estimating the population m. A group of 56 randomly selected students have a mean score of 30.8 with a standard deviation of 4.5 on a placement test. What is the 90 percent confidence interval for the mean score, m, of all students taking the test?
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Use the margin of error, confidence level, and standard deviation s to find the minimum sample size required to estimate an unknown population mean .
Margin of error: $139, confidence level: 95%, s = $513
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Do one of the following, as appropriate: (a) Find the critical value z_{a}_{/2}, (b) find the critical value t_{a}_{/2}, (c) state that neither the normal nor the t distribution applies.
99%; n = 17; s is unknown; population appears to be normally distributed.
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Identify the null hypothesis H_{0 }and the alternative hypothesis H_{1}. A researcher claims that 62% of voters favor gun control.
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Assume that the data has a normal distribution and the number of observations is greater than 50. Find the critical z value used to test a null hypothesis.
a = 0.05 for a lefttailed test.
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Use the given information to find the Pvalue. The test statistic in a righttailed test is z = 1.43.
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Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither.
Claim: m= 977. Sample data: n = 25, xbar = 984, s = 25. The sample data appear to come from a normally distributed population with s = 28.
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Identify the null hypothesis and the alternative hypothesis .
A cereal company claims that the means weight of the cereal in its packets is at least 14 oz.
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A medical school claims that more than 28% of its students plan to go onto general practice. It is found that among a random sample of 130 of the school’s students, 32% of them plan to go into general practice. Find the Pvalue for a test of the school’s claim.
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Find the critical value or values of based on the given information.
H_{1}: σ > 26.1, n = 9, α = 0.01
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Assume that a hypothesis is test of a given claim will be conducted. Identify the type I error for the test.
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Find the number of successes x suggested by the given statement. A computer manufacturer randomly selects 2360 of its computers for quality assurance and finds that 2.54% of these computers are found to be defective.
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From the sample statistics, find the value of used to test the hypothesis that the population proportions are equal.
n_{1 }= 507
n_{2 }= 140
x_{1 }= 194
x_{2 }= 35
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Compute the test statistic used to test the null hypothesis that . In a vote on the Clean Water bill, 41% of the 200 Democrats voted for the bill while 40% of the 230 republicans voted on the bill.
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Determine whether the samples are independent or consist of matched pairs (dependent samples). The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug.
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The two data sets are dependent. Find to the nearest tenth.
x 
12.9 
11.3 
10.7 
12.9 
12.9 
y 
12.6 
12.6 
10.0 
10.7 
12.3 
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Assume that you want to test the claim that the paired data come from a population for which the mean difference is . Compute the value of the test statistic.
x 
11 
5 
13 
5 
9 
y 
8 
7 
9 
6 
4 
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Given the linear correlation coefficient r and the sample size n, determine the critical value of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
r = 0.568, n = 25
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The regression equation relating to attitude rating(x) and job performance rating (y) for the employees of a company is y^ = 11.7 + 1.02x. Ten pairs of data were used to obtain the equation. The same data yield r = 0.863 and . What is the best predicted job performance rating for a person whose attitude rating is 70?
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The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
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Use the given information to find the coefficient of determination. Find the coefficient of determination, given that the value of the linear correlation coefficient, r is 0.721.
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Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
x 
1 
3 
13 
7 
9 
y 
143 
116 
100 
98 
90 
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A researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges. She randomly selects 100 students from each college and records the number that smoke. The results are shown below.

College A 
College B 
College C 
College D

Smoke 
17 
26 
11 
34

Don't smoke 
83 
74 
89 
66 
Use a 0.01 significance level to test the claim that the proportion of students smoking is the same at all four colleges if the test statistic: χ2 = 17.832.
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