In an annual report to investors, an investment firm claims that the share price of one of their bond funds had very little variability. The report shows the average price as $18.00 with a variance of 0.11. One of the investors wants to investigate this claim. He takes a random sample of the share prices for 10 days throughout the last year and finds that the standard deviation of the share price is 0.1448. Can the investor conclude that the variance of the share price of the bond fund is different than claimed at α=0.1? Assume the population is normally distributed.
State the null and alternative hypotheses. Round to four decimal places when necessary.