Chapter 8: Q.3 (page 477)
Which distribution should you use for this problem?
Short Answer
The distribution is.
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Chapter 8: Q.3 (page 477)
Which distribution should you use for this problem?
The distribution is.
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In a recent sample of used car sales costs, the sample mean was with a standard deviation of . Assume
the underlying distribution is approximately normal.
a. Which distribution should you use for this problem? Explain your choice.
b. Define the random variablein words.
c. Construct a confidence interval for the population mean cost of a used car.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
d. Explain what a 鈥 confidence interval鈥 means for this study.
Six different national brands of chocolate chip cookies were randomly selected at the supermarket. The grams of fat per serving are as follows: . Assume the underlying distribution is approximately normal.
a. Construct a confidence interval for the population mean grams of fat per serving of chocolate chip cookies
sold in supermarkets.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
b. If you wanted a smaller error bound while keeping the same level of confidence, what should have been changed in the study before it was done?
c. Go to the store and record the grams of fat per serving of six brands of chocolate chip cookies.
d. Calculate the mean.
e. Is the mean within the interval you calculated in part a? Did you expect it to be? Why or why not?
What is meant by the term confident鈥 when constructing a confidence interval for a mean?
a. If we took repeated samples, approximately of the samples would produce the same confidence interval.
b. If we took repeated samples, approximately of the confidence intervals calculated from those samples would
contain the sample mean.
c. If we took repeated samples, approximately of the confidence intervals calculated from those samples would
contain the true value of the population mean.
d. If we took repeated samples, the sample mean would equal the population mean in approximately of the samples.
Table shows a different random sampling of cell phone models. Use this data to calculate a % confidence interval for the true mean SAR for cellphones certified for use in the United States. As previously, assume that the population standard deviation is 蟽= .
| Phone Model | SAR | Phone Model | SAR |
| Blackberry pearl | Nokia E71x | ||
| HTC Evo Design 4G | Nokia N | ||
| HTC Freestyle | Nokia N | ||
| LG Ally | Sagem Puma | ||
| LG Fathom | Samsung Fascinate | ||
| LG Optimus Vu | Samsung Infuse 4G | ||
| Motorola Cliq XT | Samsung Nexus S | ||
| Motorola Droid pro | Samsung Replenish | ||
| Motorola Droid Razr M | Sony W5a walkman | ||
| Nokia Twist | ZTE C |
The data in the Table are the result of a random survey of national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let the number of colors on a national flag.
Construct a confidence interval for the true mean number of colors on national flags.
The confidence interval is_____.
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