Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 89 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?
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A: Given data, n=181 p=26%=0.26 P(X<0.29)=? μ=p=0.26σ=p(1-p)n=0.26(0.74)181σ=0.0011
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Q: Based on historical data, your manager believes that 32% of the company's orders come from…
A: Given p=0.32n=89 Let the sample proportion be denoted by p^
Q: Based on historical data, your manager believes that 37% of the company's orders come from…
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Q: Based on historical data, your manager believes that 33% of the company's orders come from…
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Q: Based on historical data, your manager believes that 34% of the company's orders come from…
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Q: Based on historical data, your manager believes that 33% of the company's orders come from…
A: Given that, p=33%=0.33 n=106
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- In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 288. What is the probability that the sample proportion will be at most 4 percent more than the population proportion?Based on historical data, your manager believes that 25% of the company's orders come from first-time customers. A random sample of 133 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?Answer = (Enter your answer as a number accurate to 4 decimal places.)Suppose a large shipment of laptop computers contained 12% defectives. If a sample of size 286 is selected, what is the probability that the sample proportion will be less than 7% ? Round your answer to four decimal places.
- Jenny works for a local brewing company. She and her team mates try to estimate the Hong Kong consumers’ preference on their beer brand compared to other imported ones. They performed a survey asking if the respondent prefers the company’s brand the most or not. Based on this survey result, they want to decide how much money the company needs to invest on brand promotions in the coming year. This is an important decision for the company, and the management wants to have the probability that the sample proportion p is +/- 3% from the actual proportion p to be very high (i.e., at least 99%). In this case, what is the desirable sample size n for the following two cases? Give the answer in the form of: at least ___ x100 samples. Case i. When the actual proportion is 50%. Case ii. When the actual proportion is 10%. Explain why the sample sizes required to achieve the same accuracy in the two cases are different.The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?Based on historical data, your manager believes that 34% of the company's orders come from first-time customers. A random sample of 168 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.28 and 0.41? (Enter your answer as a number accurate to 4 decimal places.)
- Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 147 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?Answer = (Enter your answer as a number accurate to 4 decimal places.)Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.28 and 0.46?Based on historical data, your manager believes that 34% of the company's orders come from first-time customers. A random sample of 175 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?
- Based on historical data, your manager believes that 31% of the company's orders come from first-time customers. A random sample of 119 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.37?Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 151 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?Answer = (Enter your answer as a number accurate to 4 decimal places.)Based on historical data, your manager believes that 25% of the company's orders come from first-time customers. A random sample of 79 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.31?