Q1.A pharmaceutical manufacturer is concerned about the impurity concentrationin batches of drug and is anxious that the mean impurity doesn't exceed 2.5%.It is known that impurity concentration follows a normal distribution. Arandom sample of 10 batches had the following concentrations.2.1 1.9 2.4 2.3 2.61.52.8 2.6 2.7 1.8Test at a significance level a = 0.05 that the population mean concentration isat most 2.5.

Given data: Significance level = 0.05

Answered: Q1. A pharmaceutical manufacturer is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose a statistician named Big Daddy thinks that the average monthly electric bill for Houston in August is more than $150. Using sample data from a normal population, Big Daddy obtains a test statistic of z = 1.06. Determine the P-value and state the conclusion at the 5% level of significance.
B5. Two independent samples from normally distributed populations have values {2, 5, 4, 1} for sample 1, and {2,3, 2, 2, 4} for sample 2. Test at the 1% level H9: of = o, H;: of > o3. As part of your answer, state an appropriate test statistic and its distribution under Ho. Hint: You may need to use one of these percentiles, F3,4(1%) = 16.694, F43(1%) = 28.710, F3,4(0.5%) = 24.259, F13(0.5%) = 46.195. %3D !! %3D
8. Test the claim that the standard deviation of the systolic blood pressure of adults aged 40-50 is equal to 22mmHg. The sample statistics are as follows: n=23, x¯ = 132.3mmHg, and s = 26.7. Use a significance level of 0.05. Assume the sample was randomly collected from a normally distributed population. Show work.
1. Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 12 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)? 128 189 139 148 196 191 163 101 195 142 174 114 a. t = 0.701 b.z = 0.175 C. Z = 0.19 d. t = 0.19
Q9. A Random Variable X has an unknown distribution, a known mean of 10 and an unknown variance, oʻ. To test a claim that the distribution is no longer 10, a random sample of 100 of X was collected which gave a sample mean, x of 9.8 and a sample variance, s? = 16. Working at the 5% Significance level what is the reject region? A. z 1.96 2 %3D B. z>-1.96 AND z 2.57 D. z 1.96 О А. А О В. В О С. С O D. D
2.18 2.42 2.57 2.89 Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years. 4.79 D 0.53 0.76 1.23 1.37 1.86 3.37 3.66 3.88 4.09 4.49 5.04 5.36 5.79 Given the quartiles Q, = 2.020, Q, = 3.280, and Q3 = 4.640, compute the interquartile range, IQR. 3.19 6.08 IQR =D (Round to three decimal places as needed.)
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
You wish to test the following claim (HaHa) at a significance level of 0.01. Ho:μ=54.7Ho:μ=54.7 Ha:μ>54.7Ha:μ>54.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=54 with mean M=58.7 and a standard deviation of SD=11.7 The test statistic is 2.512. What is the p-value for this sample?
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…
. 3. A researcher is interested in knowing if preterm infants with late metabolic acidosis and preterm infants without the condition differ with respect to urine levels of a certain chemical. The mean levels, standard deviations, and sample sizes from the two samples are given below. Assuming that the populations have equal variances: a. Fill in the missing pieces of the Stata output. ttesti 38 8.5 3.5 32 6.85 2.6 X y Two-sample t test with A variances combined diff Obs Ho: diff=0 38 32 Sample With condition 70 diff mean(x) n 38 Without condition 32 Ha: diff |t|) = F [95% Conf. Intervall 7.349579 5.9126 6.98079 .1552544 t = degrees of freedom = 9.650421 7.7874 8.510638 3.144746 E b. What is the conclusion of your test? c. Use this output to construct a 99% confidence interval for the difference between the two means. 68 Ha: diff0 Pr(Tt) = 0.0155
You wish to test the following claim (HaHa) at a significance level of 0.10. Ho:μ=80.1Ho:μ=80.1 Ha:μ<80.1Ha:μ<80.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=11n=11 with mean M=70.3M=70.3 and a standard deviation of SD=7.7SD=7.7. The test statistic is -4.221 What is the p-value for this sample?
You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS