a typical adult has an average IQ score of 105 with a standard deviation of 20. If 19 randomly selected adults are given an IQ test, what is the probability that the sample mean scores will be between 86 and 123 points?

Suppose a claim is made that the mean age of members of a golf club is 52 years. The population standard deviation is 6 years. Evaluate this claim if a random sample of 50 members has a mean age of 56 years. Is there a way to get answer on excel?

For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard deviation is s = 2 cm. What is the standard error of the mean?

A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons. If 39 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 0.5 gallons? Round your answer to four decimal places.

Suppose that the mean IQ in the United States is roughly100 and the standard deviation is 15 points. People withIQs of 145 or higher are considered “geniuses” on somescales of measurement. What percentage of the population is expected to have an IQ of 145 or higher? In a country with 300 million people, how many geniuses arethere expected to be?

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A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample of 20 adults over 50, what is the mean and standard deviation of those that wear sunglasses?

Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers is taken, what are the mean and standard deviation of the number of movie goers that prefer comedy?

The average per capita spending on health care in the USA is 5274 USD. If the standard deviation is 600 USD and the distribution of health care spending is approximately normal, what is the probability that a randomly selected person spends more than 6000 USD?

The state Government gives grants to low-income undergraduate students. According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, the average Pell grant award for 2007-2008 was $2,600. We wonder if the mean amount is different this year for Pell grant recipients at San Jose State University. Suppose that we randomly select 50 Pell grant recipients from San Jose State University. For these 50 students, the mean Pell grant award is $2,450 with a standard deviation of $600. Let µ = the mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year. We test the hypotheses: H0: μ = 2,600 , Ha: μ ≠ 2,600. The sample size is greater than 30, so a t-model is a good fit for the sampling distribution. What is the t-test statistic? What is the P-value?