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The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions.
a. What is the likelihood the sample mean is at least $25.00?b. What is the likelihood the sample mean is greater than $22.50 but less than $25.00?c. Within what limits will 90 percent of the sample means occur?
What is the value of the sample mean resonance frequency? The confidence level for one of these intervals is 90% and for the other it is 99%. Which is which, and how can you tell?
At the 0.05 level of significance, do the samples provide sufficient evidence to indicate that on the average, fewer consumers prefer a new product when the spokesperson is male?
Make a graph to display the distribution of doctors per 100,000 people.Write a brief description of the distribution.Are there any outliers?If so, can you explain them.
The lifetime of a certain brand of tire has a mean of 43,000 miles and a standard deviation of 6,000 miles. The lifetime distribution closely follows a normal distribution. What proportion of tires will last less than 50,000 miles?
At α =0.05, can it be concluded that families who live in cities have higher income than those who live in rural areas? Utilize P-value method.
Determine the following areas under standard Normal distribution curve.
Test to determine whether the correlation in the population is zero, versus the alternate hypothesis that the correlation is greater than zero. Use the 0.05 significance level.
New population of pilots has normally distributed weights with mean of 128 lb and standard deviation of 31.7 lbs. If the pilot is randomly selected, determine the probability that his weight is between 120 lb and 181 lb.
Is it necessary to assume a normal distribution on the population to estimate the value of the mean spending per day? Explain.
If 60 percent of those people chewing the gum are successful in stopping smoking, what is the probability that in a group of four smokers using the gum at least one quits smoking?
A manufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. How large a sample should she check in order to be 93 percent confident that the true proportion is estimated to within 0.014?
Assume that these distributions are distributed as normal random variables with the means and standard deviations given previously. Find the probability that the return for common stocks will be greater than 8%.
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