A random sample of 46 receipts from Game Stop stores had an average total amount of money spent of $162.85 with a standard deviation of $35.79. If we want to create a 90% confidence interval for the mean amount of dollars spent by Game Stop customers: 1. The conditions that must be met to construct this confidence interval are [Select] 2. The critical value we would use in the formula to construct this confidence interval is [Select] 3. The standard error (based on the equation for this confidence interval, $\frac{\sigma}{\sqrt{n}}$) we would use to calculate this confidence interval is [Select]
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Choose the correct statement for the following questions: (1) Construct a 95% confidence interval for the mean of a normal population random sample of size 16, which yields a sample mean of 25 and a sample standard deviation of 6. a) (22.06, 27.94) b) (21.804, 28.197) c) (22.370, 27.630) d) (23.533, 27.468) e) (20.205, 29.795) (2) In a 95% confidence interval for population mean: a) the probability of u falling within the confidence interval computed on one sample is 0.95. b) for many samples drawn, the computed confidence intervals will contain about 95% of the time. c) the confidence interval computed on a single sample contains with 95% confidence. d) 954 possible values contained in the confidence interval computed from one sample. e) both (b) and (c) are correct. (3) For a given set of data, if the confidence level is increased from 80% to 90% a) the confidence interval will have the same width. b) the confidence interval will be wider. c) the confidence interval will be narrower. d) the change in the width of the confidence interval cannot be predicted. e) none of the above.
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A simple random sample with n = 50 provided a sample mean 25.4 and a sample standard deviation of 7.45. The values were the number of hours spent watching sports programs in one month. (a) To construct a 95% confidence interval in this case you will need to find a t value. (b) What is the appropriate margin of error for a 95% confidence interval for the mean spending? Answer: 2.18 (c-d) The 95% confidence interval is [ Select ] to [ Select ]. (e-f) The 99% confidence interval is [ Select ] to [ Select ].
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Use the following information to answer questions 7-9: Suppose that shopping times for customers at a local mall are normally distributed with known population standard deviation of 30 minutes. A random sample of 100 shoppers in the local grocery store had a mean time of 60 minutes. Assume 98% confidence interval for the population mean. 8. Calculate the width of the 98% confidence interval estimate. A) 5 B) 0.6 C) 9.84 D) 13.98 E) None of the above is correct. 9. Find the upper confidence limit of the 98% confidence interval. A) 66.99 B) 60.6 C) 69.84 D) 73.98 E) None of the above is correct.
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