A computer manufacturing company produces two products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this, he takes a random sample of 100 desktop computers and observes that 17 are defective, and he also takes a random sample of 110 laptops and observes that 10 are defective. Assume a normal sampling distribution. Test an appropriate hypothesis and state your conclusion. Use a significance level of 0.02.**(a) What are the null and alternative hypotheses?**- H₀: p₁ ≤ p₂- Hₐ: p₁ > p₂**(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)**[Answer Box]**(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)**[Answer Box]**(d) Based on the p-value, [fail to reject] the null hypothesis.**

Answered: Image /qna-images/answer/7b5120e3-135a-4183-9034-5ba63cde4996.jpg

Answered: A computer manufacturing company…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Provide two synonyms for “the distribution of all possible sample means for samples of a given size.”
A kilo restaurant implemented a change in the composition and presentation of its dishes. We want to assess whether the average weight of meals served is greater after the changes, compared to the previous average, which was 640. For this purpose, the weights of dishes from a random sample of 10 customers were taken. The average weight of dishes in the sample was 656 and the variance 144. Use a statistical test for the evaluation. Adopt a significance level of 10%. a. What is the value of the test statistic? b. What range of values is the p-value in? c. At the 10% significance level, can you reject the null hypothesis?
An assembly line will be shut down for maintenance if the defect rate exceeds 2.3%. Suppose you adopt a 5% significance level and take a random sample 200 items off the assembly line and compute the proportion that are defective. For what values of the sample proportion will the assembly line be shut down?
A kilo restaurant implemented a change in the composition and presentation of its dishes. We want to assess whether the average weight of meals served is greater after the changes, compared to the previous average, which was 640. For this purpose, the weights of dishes from a random sample of 10 customers were taken. The average weight of dishes in the sample was 656 and the variance 144. Use a statistical test for the evaluation. Adopt a significance level of 10%. a. What is the distribution of the test statistic? b. What kind of alternative hypothesis? c. What is the test's critical value (the value that defines the critical region), on the scale of the test statistic? (If the test is bilateral, enter only one of the values.)
Suppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?
A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null…
2. Interpret this data.
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A computer manufacturing company produces 2 products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this, he takes a random sample of 185 desktop computers and observes that 16 are defective and he also takes a random sample of 195 laptops and observes that 10 are defective. Assume a normal sampling distribution. Test an appropriate hypothesis and state your conclusion. Use a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: P 0.0 HA: P + 0.0 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) Check (d) Based on the p-value, fail to reject the null hypothesis.

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