An experiment was conducted in which the antiviral medication zanamivir was given to patients who had the flu. The length of time until the alleviation of major flu symptoms was measured for three groups: 85 patients who were given inhaled zanamivir, 88 patients who were given inhaled and intranasal zanamivir, and 89 patients who were given a placebo. Summary statistics are given in the following table.6 The ANOVA SS(between) is 53.67 and the SS(within) is 2034.52.

(a) State the appropriate null hypothesis in words, in the context of this setting.
(b) State the null hypothesis in symbols.
(c) How many degrees of freedom are there for the ANOVA F test?
(d) The F-value for the test is 0.034. If α = 0.05, what is your conclusion regarding the global null hypothesis?
(e) Calculate the pooled standard deviation, Spooled.

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Inhaled and intranasal zanamivir zanamivir Inhaled Mean SD Fl 5.3 2.8 Placebo 6.3 2.9 5.4 2.7 85 89