The random variable T follows a t distribution with 44 degrees of freedom. What

Question

The random variable T follows a t distribution with 44 degrees of freedom. What is the P(T> 2.18)? Round your answer to 4 decimal places. D Question 5 10 pts What is the value of toosso? Round your answer to 2 decimal places D Question 6 10 pts As part of a comprehensive survey on personal finances, a random sample of 100 consumers was asked how much they spent using a debit card in 2017. The average for these 100 consumers is $7,790. The population standard deviation, ?, is known to be $500, what is the Lower Confidence Limit for the 99% confidence interval for the population mean amount spent using a debit card? Round your answer to the nearest dollar. Do NOT include the $ in your answer Do 4 5 6 8

Explanation / Answer

Solution :

Using t table,

df = 44

P(T > 2.18)

To see the df in the column and 2.18 in the t table the corresponding probability is 0.0173 .

P(T > 2.18) = 0.0173

5)

t0.05,50 = 1.68

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