The logarithmic expression for the given exponential expression is :
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Brody shops at three different grocery stores. He uses the ads to determine where to buy certain items. The table shows the cost
of a brand of peanut butter at each store.
Question 1
Part A
What is the cost per ounce of peanut butter at each grocery store?
The Corner Store $____ per ounce
Minnie's Market $___ per ounce
Food Now! $___ per ounce
Question 1
Part A
What is the cost per ounce of peanut butter at each grocery store?
The Corner Store $____ per ounce
Minnie's Market $___ per ounce
Food Now! $___ per ounce
1 answer:
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<h3>When do we perform one sample z-test?</h3>One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
- Population mean =
= $150
- Population standard deviation =
= $30.20
- Sample mean =
= $160
- Sample size = n = 40 > 30
- Level of significance =
= 2.5% = 0.025
- We want to determine if the average customer spends more in his store than the national average.
Forming hypotheses:
- Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get:
- Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically
where is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:
The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
Learn more about one-sample z-test here: