MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In a sample of 30 participants, a researcher estimates the 95% CI for a sample with a
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- A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.arrow_forwardA researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of ¯x=68x¯=68 hours with a standard deviation of s=7s=7 hours. He would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.75 hours at a 99% level of confidence.What sample size should you gather to achieve a 0.75 hour margin of error?He would need to sample bacteria.arrow_forwardThe time it takes for a compact fluorescent bulb to reach full brightness is normally distributed with mean 29.9 seconds and standard deviation 4.1 seconds. Find and interpret the z-score for x = 26.4.arrow_forward
- A social media analyst wanted to know the average number of Facebook friends that young people of ages 13-16 have. She took a random sample of 100 children of ages 13-16 years old and found out that the average number of friends they have is x ̅ = 120 with a population standard deviation of σ = 12.4. Use 95% confidence interval for the mean number of friends of all Facebook users of ages 13-16 Based on the problem above, what is α/2 (alpha/2)? What is its Zα/2?Based on the problem, what is its margin of error?What is its confidence interval?arrow_forwardBoth, the Cohen's d and confidence interval, measure the impact of the IV on the DV. The only difference is that the confidence interval does so for the population, whereas the Cohen's d does so for the sample.arrow_forwardThe mean pulse rate (beats per minute) of a random sample of 40 males was 67.3 bpm. For a random sampl of 40 females the mean was 77.5 bpm. The population standard deviation for males is 10.3 bpm and 11.6 bpm for females. Using the P-Value method and test the claim that there is a difference in mean pulse rates. Use alpha = 0.03. Step 5: There is enough evidence to reject the claim that there is a difference in pulse rates for males and females. O There is enough evidence to support the claim that there is a difference in pulse rates for males and females. There is not enough evidence to reject the claim that there is a difference in pulse rates for males and females. There is not enough evidence to support the claim that there is a difference in pulse rates for males and females. SAMSUNG 女 & 4 5 7 8 r t y %24arrow_forward
- A telephone poll of 841 adult Americans was reported in an issue of Time Magazine. One of the questions asked was, "What is the main problem facing the country?" Forty percent answered, "crime." Construct a 88% confidence interval for the population proportion of Americans who feel that crime is the main problem.p'=α2=zα2=Margin of Error: E=We are 88% confident that the proportion of Americans who feel that crime is the main problem is between____ and ____.arrow_forwardYou are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of ¯x=64x¯=64 hours with a standard deviation of s=4.2s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number.arrow_forwardA simple random sample of 44 female cottonmouths yeilded the number of young per liter. The sample mean calculated to 7.59. Assume sigma = 2.4, obtain a 95% confidence interval for the mean number of young per litter of all female eastern cottonmouths.arrow_forward
- An experiment is being conducted to see if one type of animal feed is better than another. The experiment used 120 animals. The weight of the animals was a mean of 70.05 kg with the new food vs 66.61 with the current food being used. The standard deviation of the samples was 11.16lbs. Write your hypotheses in statistics form. Attached is a table of T values. Determine if the new food is contributing to larger weight. Assume an alpha 10%. What would you conclude about the new feed if the alpha were 5%arrow_forwardFind the a/2 ( the area in one tail outside of the confidence interval) and the critical value z a/2 necessary to construct an 80% confidence interval.arrow_forward
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