Given: Karacafe is a newly launched product of Philippine Kalabaw Center. Carry, the project's head, is interested to determine the mean number of bottles of Karacafe bought his customers. From a random sample of 64 customers taken with replacement, a mean 16 bottles was computed. Suppose the number of bottles of Karacafe bought by a customer follows a normal distribution with a known standard deviation of 9. 1. The appropriate tabular value to use for the 95% confidence interval estimate of the true mean number of bottles of Karacafe bought by a customer is A. 1.960 B. 1.645 C. 2.262 D. 2.228 2. A 95% confidence interval about the mean number of bottles of Karacafe bought by a customer is A. [13.795, 18.205] B. [14.149, 17.851] C. [14.560, 17.440] D. [14.875, 17.125] 3. A 90% confidence interval about the true mean number of bottles of Karacafe bought by a customer is constructed as [16 ± 1.85]. Which of the following is(are) TRUE? 1. We are 90% confident that the true mean number of bottles of Karacafe bought by a customer is between 14.15 and 17.85 bottles. II. If 1000 such confidence intervals are constructed, 900 of them will contain the true mean number of bottles of Karacafe bought by a customer. A. I only B. II only C. Both I and I| D. Neither I nor II

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Given: Karacafe is a newly launched product of Philippine Kalabaw Center. Carry, the
project's head, is interested to determine the mean number of bottles of Karacafe bought
his customers. From a random sample of 64 customers taken with replacement, a mean
16 bottles was computed. Suppose the number of bottles of Karacafe bought by a
customer follows a normal distribution with a known standard deviation of 9.
1. The appropriate tabular value to use for the 95% confidence interval
estimate of the true mean number of bottles of Karacafe bought by a
customer is
A. 1.960
B. 1.645 C. 2.262 D. 2.228
2. A 95% confidence interval about the mean number of bottles of
Karacafe bought by a customer is
A. [13.795, 18.205]
B. [14.149, 17.851] C. [14.560, 17.440] D. [14.875, 17.125]
3. A 90% confidence interval about the true mean number of bottles of
Karacafe bought by a customer is constructed as [16 ± 1.85]. Which of the
following is(are) TRUE?
1. We are 90% confident that the true mean number of bottles of Karacafe bought by a
customer is between 14.15 and 17.85 bottles.
II. If 1000 such confidence intervals are constructed, 900 of them will contain the true mean
number of bottles of Karacafe bought by a customer.
A. I only
B. Il only
C. Both I and II
D. Neither I nor II
Transcribed Image Text:Given: Karacafe is a newly launched product of Philippine Kalabaw Center. Carry, the project's head, is interested to determine the mean number of bottles of Karacafe bought his customers. From a random sample of 64 customers taken with replacement, a mean 16 bottles was computed. Suppose the number of bottles of Karacafe bought by a customer follows a normal distribution with a known standard deviation of 9. 1. The appropriate tabular value to use for the 95% confidence interval estimate of the true mean number of bottles of Karacafe bought by a customer is A. 1.960 B. 1.645 C. 2.262 D. 2.228 2. A 95% confidence interval about the mean number of bottles of Karacafe bought by a customer is A. [13.795, 18.205] B. [14.149, 17.851] C. [14.560, 17.440] D. [14.875, 17.125] 3. A 90% confidence interval about the true mean number of bottles of Karacafe bought by a customer is constructed as [16 ± 1.85]. Which of the following is(are) TRUE? 1. We are 90% confident that the true mean number of bottles of Karacafe bought by a customer is between 14.15 and 17.85 bottles. II. If 1000 such confidence intervals are constructed, 900 of them will contain the true mean number of bottles of Karacafe bought by a customer. A. I only B. Il only C. Both I and II D. Neither I nor II
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